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Ultraviolet Radiation Terminology

Ultraviolet Radiation Terminology

A word of caution: I am going to be annoyingly pedantic here, but with good reason. The lighting industry has a century-long history of introducing unfamiliar technologies using familiar terminology. We later come to regret our choice of words when it becomes necessary to express precisely what we mean.

Consider, for example, the term luminance. We understand this today to mean “luminous flux per unit solid angle per unit projected source area,” which we express in candela per square meter (where a candela is one lumen per steradian), or sometimes nits. Seventy years or so ago, however, it was common to refer to “brightness,” which today is considered a subjective attribute of a point light sources (and not to be confused with “lightness,” a subjective attribute of an area light source).

The lighting industry at first distinguished between “brightness” and “photometric brightness,” but eventually accepted “luminance” as the companion of radiance. (We will not talk about “helios,” an alternative proposed and rejected in the 1940s.) In the process, it also deprecated alternate units of measurement for luminance, including stilbs, lamberts, apostilbs, skots, brils and foot-lamberts.

UnitConversion Factor
apostilbπ
brilπ x 107
foot-lambertπ / (0.3048)2
lambertπ x 10-4
skotπ x 103
stilb10-4
Table 1 – Deprecated luminance units

Luminance and candela per square meter – life is so much easier when we can agree on the terminology!

Ultraviolet …

Courtesy of the current pandemic, the lighting industry is becoming all too familiar with a technology that has been in use since the 1930s – germicidal lamps emitting ultraviolet radiation that inactivate bacteria and viruses. Sadly, we are once again using familiar terminology that we will later have to deprecate in order to express what we really mean.

It does not have to be like this, however. It may be as futile an exercise as the legend of King Canute the Great ordering the tide to stop, but we can at least examine what terminology we should be using when discussing ultraviolet radiation as a means of disinfection.

We begin with the term ultraviolet, which designates a region of the electromagnetic spectrum beyond that of visible light with wavelengths of approximately 400 nm to 700 nm. The ultraviolet region is divided by the International Lighting Commission (CIE) into three subregions:

UV-A315 nm – 400 nm
UV-B280 nm – 315 nm
UV-C100 nm – 280 nm
Table 2 – Ultraviolet spectral regions

Here, however, is the point: “ultraviolet” is an adjective. It makes as much sense to refer to “ultraviolet” as it does to refer to “blue” – blue what? Just as we invariably refer to “blue light” in lighting design, we should refer to ultraviolet radiation. (For the record, light is “the natural agent that stimulates sight and makes things visible”; all else – including light – is electromagnetic radiation.)

Germicidal

From here, we move on to the term germicidal. This refers to the effect of UV radiation on pathogens, including viruses, bacteria, and fungi. Ultraviolet photons have enough energy to disrupt the DNA and RNA of bacteria and fungal cells, preventing the organisms from reproducing and thus inactivating them; eventually, they die. Viruses are not technically alive, but in disrupting their genetic code, the UV radiation prevents them from invading living cells and replicating, and thus inactivates them as well.

Unfortunately, this has led to the increasingly popular term germicidal UV, abbreviated GUV. Respecting the previous argument, a better term is ultraviolet germicidal irradiation (UVGI). This has a long history of use in the ultraviolet disinfection community, and the lighting industry should respect it as being unambiguous.

Luminaires

For anyone in the lighting industry, a product that emits visible light is a luminaire. … except that ultraviolet radiation is not light.

There are several types of ultraviolet radiation sources:

Low-pressure mercury-vapor arc lamps

These are basically linear or compact fluorescent lamps without phosphor coatings to convert ultraviolet radiation into visible light, and fused quartz or “soft” glass tubes that are transparent to UV-C radiation. They emit essentially monochromatic UV-C radiation with a wavelength of 254 nm. (The tubes are usually designed to block 185 nm radiation, which can generate toxic ozone.) They are typically used for “upper-room” air disinfection (CIE 2003), HVAC air ducts, and mobile ultraviolet disinfection platforms and robots.

Medium-pressure mercury-vapor arc lamps

These are similar to high-intensity discharge (HID) lamps, but feature broadband radiation centered around 250 nm. They are mostly used for water disinfection purposes.

Pulsed xenon lamps

These are basically high-power electronic flash lamps which emit intense broadband radiation across the entire ultraviolet spectrum with a peak near 230 nm. They are commonly used with mobile disinfection platforms in hospitals.

Excimer lamps

Krypton-chlorine (KrCl*) excimer lamps emit mostly ultraviolet radiation with a peak wavelength of 222 nm, and are being explored as a safer alternative to low-pressure mercury-vapor arc lamps.

Microplasma emitters

Microplasma emitters are based on the essentially the same technology formerly used to produce plasma television screens, but are designed to emit ultraviolet radiation with a peak wavelength of 222 nm.

UV-LEDs

Ultraviolet-emitting LEDs are becoming increasing available, although to date with exceedingly low radiant efficiencies of one to four percent and peak wavelengths no shorter than 265 nm for commercial devices. However, the roadmap for the development of UV-C LEDs promises much greater efficiencies in the foreseeable future (Krames 2020).

For germicidal purposes, the optimal wavelength for disrupting the DNA of pathogens is 265 nm (Figure 1). Once again, however, this is electromagnetic radiation and not light. It may therefore be preferable to refer to UVGI sources rather than “luminaires.”

FIG. 1 – Germicidal response function for ultraviolet radiation (adapted from CIE 2003).

Radiometry

This should be an easy one. For proper UVGI systems design, we will need to know the intensity distribution of the UVGI sources, just like we have luminous intensity distributions for luminaires and photometric data reports.

Measuring these characteristics in the laboratory is not easy. Integrating spheres measuring two meters or more in diameter are often used to measure the luminous flux generated by luminaires, but the typical barium sulphate (BaSO4) coating is not sufficiently reflective for ultraviolet radiation measurements. Microstructured polytetrafluoroethylene (PTFE), perhaps best known as Labsphere Inc.’s diffuse reflectance standard Spectralon, has acceptable reflectance (> 95 percent at 250 nm), but it must be machined rather than applied as a coating.

Regardless, what is being measured is the radiant intensity distribution of the UVGI sources, with corresponding radiometric data reports. This further implies that these reports should be based on the ANSI/IES TM-33-18 luminaire optical data document specification rather than ANSI/IES LM-63-19 (and earlier editions) and EULUMDAT file formats, which are specific to photometric data (IES 2018). (The Italian UNI 11733:2019 standard is a mirror document to ANSI/IES TM-33-18.) This document specification was developed specifically with ultraviolet radiometry in mind.

More generally, we should always use radiometric units when referring to the performance of UVGI systems:

PhotometricRadiometric
Illuminance (lm/m2)Irradiance (μW/cm2)
Luminous intensity (cd)Radiant intensity (μW/sr)
Luminance (cd/m2)Radiance (μW/sr-cm2)
Radiant fluence (mJ/cm2)
Table 3 – Photometric versus radiometric terminology

The International Bureau of Weights and Measurements defines radiometric measures in terms of watts, meters, and steradians, but UVGI systems typically express measurements in microwatts (μW) and square centimeters (cm2) for convenience (BIPM 2019).

Radiant Dose

If, as a professional lighting designer, you did a double take on the term radiant fluence, it is understandable – what is this? ANSI/IES RP-16-17 (ANSI 2017) defines “radiant fluence” as “the omnidirectional radiant energy externally incident on an elementary sphere per unit cross-sectional area in time Δt,” or more succinctly:

where is the differential solid angle, da is the cross-sectional area of the sphere, and Δt is the exposure time. (I warned you that I was going to be annoyingly pedantic.)

Fortunately, this metric is much simpler conceptually than its formal definition implies, and it is crucial to an understanding of UVGI system performance.

The SARS-CoV-2 virus is transmitted primarily by respiratory droplets and aerosols that are generated by the simple acts of breathing, talking, sneezing, coughing and singing. The same is true, however, for many other viruses, bacteria, and fungi, including those responsible for the common cold, influenza, measles, chickenpox, and tuberculosis. Respiratory droplets, which are typically larger than 5 μm and consist mostly of water, fall to the ground rapidly after being produced. Aerosols, on the other hand, are relatively dry and may persist in the air for several hours.

Imagine then a droplet or aerosol as a transparent sphere holding the viruses or bacteria in solution. Seen from any direction, the cross-sectional area is defined by the equation for the area of a circle: π x r2, where r is the sphere radius.

Now think of a parallel beam of ultraviolet radiation in this direction. The beam has a measurable radiance L that is expressed in microwatts per steradian per square centimeter (μW/sr-cm2). Conceptually, it is the radiant power of the ultraviolet photons passing through the transparent sphere in the given direction at a specific moment in time.

If we sum the beam radiance for all possible directions, we have the irradiance of the sphere. We can make the diameter of the sphere infinitesimally small, in which case we have the spherical irradiance (aka the fluence rate) of the elementary sphere at a point in free space, measured in microwatts per square centimeter (μW/cm2).

It is not however the irradiance that is important for germicidal action, but rather the radiant dose or fluence. The aerosol particle may drift through the air and thus be exposed to varying levels of spherical irradiance. The longer the particle is exposed to radiation, however, the more likely it is that a UV photon will intersect the DNA or RNA of a virus (which typically has a diameter of less than 100 nanometers) and disrupt it.

Fluence then is the spherical irradiance (measured in μW/cm2) of the particle integrated (i.e., summed) over time (measured in seconds). One joule (energy) is one watt (power) times one second. For UVGI purposes is typically expressed in millijoules per square centimeter (mJ/cm2).

Fluence is defined specifically for aerosols (and more generally points in free space), but the concept of radiant dose also applies to the irradiation of surfaces. For a uniform distribution of radiance (i.e., equal in all directions), the irradiance of a surface is 1 / π times that of spherical irradiance without the surface at that point.

Choosing Radiant Dose

When the UV dose results in a 90 percent disinfection (10 percent survival), it is referred to as D90. For UVGI applications where higher disinfection rates are needed, D99 (i.e., 99 percent disinfection) is often used. To completely disinfect a surgical tool, it is common to expect 99.9999 percent disinfection. There may still be a few active viruses or bacteria that remain, but their density is too low to achieve an infection or replicate in a colony.

The decrease in survival with larger UV doses is exponential – if 10 mJ/cm2 results in 90 percent disinfection, 20 mJ/cm2 results in 99 percent, 30 mJ/cm2 in 99.9 percent, and so on. This is an example of exponential decay, and so it is more convenient to refer to the disinfection in logarithmic units: D90 is log-1 , D99 is log-2, and so on to log-6 for complete disinfection.

There are however complications in determining an appropriate UV dose for inactivating pathogens. Table 4 (adapted from Kowalski 2009) presents the average radiant doses required to achieve D90 disinfection for pathogens:

PathogenTypeWaterSurfaceAir – Low RHAir – High RH
BacteriaVegetative2.71.60.63.1
BacteriaSpores16.012.69.08.9
FungiVegetative22.932.92.3
FungiSpores25.129.231.548.8
VirusesAll4.07.30.60.8
Table 4 – Average UV dose in mJ/cm2 required to achieve D90 inactivation.
(RH – relative humidity, expressed in percent.)

The first complication is that the pathogen species and its environment matters. Hundreds of studies have reported on the susceptibility of many different pathogen species to either monochromatic (254 nm) or broadband UV irradiation, where the pathogens are: a) suspended in water; b) cultured on a growth medium on a surface (e.g., a Petri dish); or c) suspended in airborne droplets or aerosol particles of various sizes. As shown in the table, the relative humidity of the air can have a very significant effect on vegetative bacteria (but not viruses).

The second complication is that Table 4 represents the average dose for D90 disinfection. Depending on the pathogen species and environment, the required dose can vary by a factor of 100 or more from these averages. Designing a UVGI system with an average radiant dose does not guarantee protection from specific pathogens. The choice of narrowband versus broadband radiation sources also matters, especially for bacteria.

The third complication is that once D90 disinfection has been achieved, it is often the case that the surviving 10 percent of the population is an order of magnitude more resistant to UV irradiation. For example, if it takes 10 mJ/cm2 to achieve D90 disinfection, it may take 40 mJ/cm2 to achieve D99 disinfection.. As shown in Figure 2, such pathogens are said to have a “two-step” rare constant for their susceptibility to UV-C radiation.

FIG. 2 – One-step versus two-step pathogen susceptibility to UV-C radiation.

A fourth complication is that when vegetative bacteria and fungi have been exposed to monochromatic UV radiation as a means of disinfection, subsequent exposure to visible light may enable the “killed” cells to repair their DNA and recolonize, thereby increasing their survival rate by 10 to 100 times, especially if the pathogens are suspended in water or present on surfaces in the presence of high relative humidity. (Viruses do not seem to have the complexity needed to effect self-repair of their DNA.) This may be a concern if, for example, the exposed surfaces of a hospital room are decontaminated with a mobile UV disinfection robot, but the room is flooded with direct sunlight thereafter.

A fifth and final complication is that once a surface has been infected with respiratory droplets, any bacteria may find sufficient resources to begin colonizing the surface. The surface may be continuously irradiated by, for example, UV‑C radiation from a microplasma emitter or UV-LED array, but if the irradiance is too low, the surface may not achieve even D90 decontamination, regardless of the exposure time.

Summary

There is admittedly a considerable amount of information here that extends beyond the bounds of ultraviolet radiation terminology. It is needed, however, to put the terminology used for decades by the ultraviolet disinfection community into context. Ultraviolet radiation is not visible light, and so the lighting community needs to both understand and respect the terminology when adopting UVGI system design practices for building safety and human health. If we do not use the correct terminology, we risk (and deserve) a plague of apostilbs, brils, lamberts, skots and other annoyances later down the road.

References

BIPM. 2019. The International System of Units (SI), 9th Edition (https://www.bipm.org/utils/common/pdf/si-brochure/SI-Brochure-9-EN.pdf).

CIE. 2003. CIE 155:2003, Ultraviolet air Disinfection. Vienna, Austria: CIE Central Bureau.

CIE. Undated. CIE International Lighting Vocabulary (http://eilv.cie.co.at/termlist).

Kowalski, W. 2009. Ultraviolet Germicidal Irradiation Handbook: UVGI for air and Surface Disinfection. Heidelberg, Germany: Springer.

IES. 2017. ANSI/IES RP-16-17, Nomenclature and Definitions for Illuminating Engineering (https://www.ies.org/standards/definitions).

IES. 2018. ANSI/IES TM-33-18, Standard for the Electronic Transfer of Luminaire Optical Data. New York, NY: Illuminating Engineering Society.

Krames, M. 2020. “The Rise of UV-C LEDs,” LEDs Magazine 125:36-39.

Spherical Irradiance and Aerosols

Spherical Irradiance and Aerosols

Lighting designers will be familiar with the illuminance of a planar surface, which is measured in lumens per square meter (or foot). The irradiance of a planar surface by a germicidal radiation source is conceptually the same, except that it is measured in watts per square meter (W/m2). Most designers, however, will not be familiar with the concept of the spherical irradiance (or equivalently, fluence rate) of a point in space. This is an essential metric for air disinfection by germicidal lamps, and so it needs to be understood.

Figure 1 shows a parallel beam of UV radiation A with a cross-sectional power density of ΦA watts of power (flux) per square meter (W/m2) irradiating a surface oriented perpendicular to the beam. The beam can be made infinitesimally narrow, thereby irradiating a point on the surface, with irradiance EA = ΦA W/m2.

Figure 1. Surface irradiance.

Another parallel beam B with ΦB watts per square meter intersects the surface with incidence angle θ, the surface irradiance due to this beam being EB = (ΦB cos θ) W/m2. If we sum the contribution of beams from all possible directions above the surface of the plane, we obtain the surface irradiance ES. For germicidal applications, this irradiance is typically measured in microwatts per square centimeter (µW/cm2).

Irradiance is an appropriate metric for pathogens cultured on a plate, but aerosols are miniscule droplets of water suspended in air. If these droplets have been expelled by someone with an infectious respiratory disease such as tuberculosis or influenza, they may contain bacteria or viruses. These pathogens can be inactivated by UV radiation, but there is no planar surface that is being irradiated, and so the concept of irradiance does not apply.

Figure 2 represents the droplet as a transparent sphere S that does not absorb or refract UV radiation. The sphere has radius r, and so has a cross-sectional area π r2. If this sphere is irradiated by a beam A with cross-sectional power density ΦA W/m2, its irradiance is the same as the beam power density (again typically measured in µW/cm2). The diameter of the sphere can be made infinitesimally small, yielding an elementary sphere – a point in space – while the irradiance remains constant.

Figure 2. Spherical irradiance.

If we sum the contribution of beams from all possible directions of an imaginary sphere surrounding the point, we obtain the spherical irradiance of the point in space. This is also referred to as the fluence rate, which, when multiplied by the exposure time (and assuming a constant rate), yields the fluence of the droplet (typically measured in millijoules per square centimeter, mJ/cm2). If the fluence rate varies (as when the droplet moves through a three-dimensional UV radiation field), the fluence is the sum of the fluence rates multiplied by the chosen time intervals, which may vary from milliseconds to hours.

Finally, the term germicidal dose applies to both the irradiance of surfaces and the spherical irradiance of aerosols, but the terms fluence and fluence rate apply only to aerosols.

About Those Standards …

The concept of spherical irradiance may be simple to understand, but only if you ignore the official definitions. The CIE International Lighting Vocabulary has taken the approach that more is better, offering a choice of:

SectionDefinition
17-742Luminous spherical exposure (see 17-1028)
17-1244Spherical illuminance (see 17-1245)
Photometric Quantities
SectionDefinition
17-454Fluence (see 17-1028)
17-455Fluence rate (see 17-1245)
17-1023Radiant fluence (see 17-1028)
17-1024Radiant fluence rate (see 17-1245)
17-1028Radiant spherical exposure
17-1245Spherical irradiance
Radiometric Quantities
SectionDefinition
17-883Photobiological fluence (see 17-1028)
17-884Photobiological fluence rate (see 17-1245)
Photobiological Quantities
SectionDefinition
17-925Photon fluence (see 17-1028)
17-926Photon fluence rate (see 17-1245)
17-933Photon spherical exposure (see 17-1028)
17-934Photon spherical irradiance (see 17-1245)
Photon Quantities

In other words, spherical irradiance (or fluence rate) and fluence with different spectral weightings such as V(λ) for luminous quantities and photobiological action spectra, including photon quantities for horticultural applications.

Trying to understand the CIE definition of fluence rate can be a challenge:

Quantity defined by the formula:

where dΩ is the solid angle of each elementary beam passing through the given point and Le its radiance at that point.

This makes sense if you think of an “elementary beam” as being an infinitesimally narrow cone (which makes it equivalent to the infinitesimally narrow beam discussed above), but there is the unnecessary complication of defining the beam radiance in terms of point sources. It is conceptually much easier to begin with parallel beams that can be made infinitesimally narrow.

ANSI/IES RP-16-17, Nomenclature and Definitions, on the other hand, is decidedly more spartan:

  • Luminous fluence
  • Luminous fluence rate
  • Radiant fluence
  • Radiant fluence rate
  • Spectral radiant fluence
  • Spectral radiant fluence rate

In addition to being spartan, the IES definitions are both clear and concise:

Fluence rate: The omnidirectional radiant flux externally incident on an elementary sphere about the point, per cross-sectional area of the sphere.

Fluence: The omnidirectional radiant energy externally incident on an elementary sphere about the point, per cross-sectional area of the sphere.

The advantage of these definitions is that they make no mention of radiance or solid angles.

Measuring Spherical Irradiance

CIE-ILV 17-1245, Spherical Irradiance, includes this helpful note:

This is the appropriate radiometric quantity for describing a dose rate for a photobiological or photochemical effect in a scattering medium (e.g., light in skin). It is also the appropriate quantity for describing the irradiation of microorganisms. It is frequently used incorrectly as a substitute for irradiance in some publications.

This leads to the obvious question: how do you measure spherical irradiance?

One approach is to use a spherical actinometer, an instrument that consist of a hollow quartz sphere measuring a centimeter or so in diameter that is filled with a solution of ferrioxalate, persulfate, or iodide/iodate; their transmittance after exposure is linearly proportional to the UV-C fluence (e.g., Kowalski 2009).

Another option is to use a radiometer with a “scalar irradiance” (yet another synonym for fluence rate) collector and a narrowband ultraviolet filter, such as the AMOUR radiometer manufactured by Biospherical Instruments (San Diego, CA). However, such an instrument has a “blind spot” of approximately 80 degrees where the spherical Teflon collector is mounted on its connector shaft.

Figure 3. Spherical irradiance meter. (Source: www.biospherical.com)

UPDATE 20/08/28 – The manufacturer has stated that their AMOUR radiometer is not capable of measuring UV-C radiation due to excess absorption by the Teflon collector.

It may be difficult to measure spherical irradiance, but it is possible to predict its three-dimensional distribution in space using modified lighting design and analysis software, including contributions of direct radiation from UV-C sources and interreflections from surfaces. However, as Pierre de Fermat said regarding his Last Theorem, “I have discovered a truly remarkable theorem … which this margin is too small to contain.” More details to follow …

Acknowledgements

Thanks to Dawn DeGrazio of the Illuminating Engineering Society for her review and comments.

References

Kowalski, W. 2009. Ultraviolet Germicidal Irradiation Handbook: UVGI for Air and Surface Disinfection. Heidelberg, Germany: Springer.

Defining Photosynthetic Photon Efficacy

Defining Photosynthetic Photon Efficacy

There has been some discussion online and in presentations recently about the issue of photosynthetic photon flux. The argument goes as follows:

  1. Photosynthetically Active Radiation (PAR) is somewhat arbitrarily defined as optical radiation within the spectral range of 400 nm to 700 nm.
  2. Exposing plants to far-red radiation (defined as 700 nm to 800 nm) results in an increase in the rate of photosynthesis – the Emerson effect that was first noted in 1957 and confirmed by recent research.
  3. Many horticultural luminaire manufacturers are now including far-red (725 nm) LEDs in their products.
  4. The photosynthetic photon efficacy (PPE) of these luminaires is penalized by the definition of PAR because the far-red radiation is not taken into consideration.
  5. The definition of PAR therefore needs to be changed to allow fair comparison of these products.

The one-word answer to this argument is … no.

Photosynthetic Photon Efficacy

ANSI/ASABE S640 JUL2017, Quantities and Units of Electromagnetic Radiation for Plants (Photosynthetic Organisms): defines Photosynthetic Photon Efficacy (PPE) as:

The photosynthetic photon efficacy (Kp) is the photosynthetic photon flux divided by input electric power. The unit is micromoles per second per electric watt (μmol × s-1 × We-1), or micromoles per joule (μmol × J-1).

Ignoring the technical jargon, the key point here is micromoles of photons. Photosynthesis occurs when a photon is absorbed by a photopigment (primarily chlorophyll A or B). In accordance with the Stark-Einstein law (aka the second law of photochemistry), one photon initiates one chemical reaction, regardless of the photon’s wavelength. We must therefore count the number of photons per second (measured in micromoles per second) rather than lumens or radiant watts for horticultural purposes.

Referring to FIG. 1, McCree (1972) measured the relationship between wavelength and photosynthesis to produce the averaged “McCree curve.” He also acknowledged the Stark-Einstein law, which accounts for the blue line between 400 nm and 700m. What this means is that we can ignore the spectral power distribution of any light source within the range of 400 nm to 700 nm. As long as we have a calibrated PAR (aka “quantum”) sensor – which is basically a radiant wattmeter with the spectral response shown in FIG. 1 – we can measure micromoles of photons per second.

Emerson Effect

In a recent paper, Zhen and Bugbee (2020) presented an excellent argument in favor of redefining photosynthetically active radiation to include the spectral range of 400 nm to 750 nm. The title of the paper even includes the phrase, “Implications for Redefining Photosynthetically Active Radiation.”

The authors are unquestionably correct; far-red photons in effect supercharge the process of photosynthesis, and must – not should, but must – be taken into consideration when defining photosynthetically active radiation.

This does not mean however that the PAR metric should be redefined. Quoting from the abstract of Zhen and Bugbee (2020): “Far-red alone minimally increased photosynthesis … far-red photons are equally efficient at driving canopy photosynthesis when acting synergistically with traditionally defined photosynthetic photons.” In other words, if we assume a spectral range of 400 nm to 750 nm, we cannot unambiguously measure the photosynthetic photon efficacy of a light source without knowing its spectral power distribution. That is, without knowledge of the entire spectral power distribution within this range, we cannot predict the rate of photosynthesis.

Figure 1 – McCree curve and PAR sensor response.

To rephrase the issue, the current definition of PAR assumes that the photosynthesis rate of higher plants is linear with respect to incident radiation within the spectral range of 400 nm to 700 nm. There are obviously minimum and maximum irradiance limits to where this assumption applies, but it is necessary in order for the concept of PAR and hence PPE to have any meaning.

The Emerson effect violates this assumption by making the photosynthesis rate nonlinear – add far-red radiation beyond 700 nm and you will change the rate in the manner that depends on the spectral power distribution of the PAR radiation.

This issue does not concern just horticultural luminaires with 725 nm far-red LEDs. Most red-emitting phosphors used in white-light LEDs and red-emitting phosphor-coated LEDs (e.g., Figure 2) have significant emissions in the far-red, and so may invoke the Emerson effect.

FIG. 2 – LED growlight with phosphor red (Source: www.powergrowsystems.com.)

Regardless, it remains that the definition of PAR cannot redefined. It is not a matter of penalizing horticultural luminaires with far-red emissions, but of simply having a metric that makes sense.

Photomorphological Considerations

There is an additional complication with far-red radiation. Horticultural luminaires including far-red LEDs typically employ 660 nm red and 725 nm far-red LEDs. These wavelengths correspond nicely with the peak absorptances of the Pr and Pfr isoforms of phytochrome, a plant photoreceptor that is responsible for plant morphology from seed germination to leaf senescence, shade avoidance, and circadian rhythms. By offering luminaires with fixed red to far-red (R:FR) ratios, luminaire manufacturers have only begun to explore the horticultural possibilities of far-red radiation.

Does the current definition of Photosynthetically Active Radiation and hence Photosynthetic Photon Efficacy disadvantage horticultural luminaire manufacturers who include far-red LEDs in their products? In one sense, the answer is yes. However, this is a very narrow view of the issue that focuses on a single metric. The goal should be to educate the customer that despite a possibly lower PPE value for the product, the far-red radiation represents a value-added feature.

References

ANSI/ASABE S640 JUL2017, Quantities and Units of Electromagnetic Radiation for Plants (Photosynthetic Organisms). St. Joseph, MI: American Society of Agricultural and Biological Engineers.

McCree, K. J. 1972a. “The Action Spectrum, Absorptance and Quantum Yield of Photosynthesis in Crop Plants,” Agricultural and Forest Meteorology 9:191-216.

Zhen, S., and B. Bugbee. 2020. “Far-red Photons Have Equivalent Efficiency to Traditional Photosynthetic Photons: Implications for Redefining Photosynthetically Active Radiation,” Plant Cell Environ. 2020:1-14. DOI: 10.1111/pce.1370.

Designing an Ultraviolet-C Disinfection System

Designing an Ultraviolet-C Disinfection System

Published 2020/05/29 by the Illuminating Engineering Society as https://www.ies.org/fires/designing-a-uv-c-germicidal-system/.

Germicidal lamps emitting ultraviolet-C (UV-C) radiation have been in use since the 1930s (Wells and Wells 1936). These are most commonly low-pressure mercury-vapor discharge lamps, which are basically fluorescent lamps without a phosphor coating and fused quartz rather than borosilicate glass bulbs. They emit monochromatic radiation mostly at 254 nm, a wavelength that is very effective in disrupting the DNA of viruses, bacteria, and other pathogens.

The photobiological risks of these germicidal lamps are well-known: exposure to UV-C radiation can result in photokeratitis (“snow blindness”), photoconjunctivitis (“pink eye”), and erythema (sunburn). These medical conditions typically only last for a few days, but they can be quite painful. Unlike UV-B radiation (280 nm to 315 nm), UV-C radiation is much less likely to cause long-term cellular damage leading to skin cancer,

More recent germicidal light sources include UV-C light-emitting diodes and pulsed xenon discharge lamps, but there is a newcomer on the block that has gained considerable media attention: far-ultraviolet excimer lamps. Recent medical studies have indicated that, unlike 254 nm radiation, the 207 nm and 222-nm “far-UV” radiation emitted by excimer lamps is likely harmless (e.g., Buonanno et al. 2017, Welch et al. 2018). Excimer lamps have the same germicidal properties as mercury-vapor discharge lamps, but the shorter wavelength radiation cannot penetrate deeply enough into the outermost cells of the eyes and skin to disrupt their DNA.

This leads to the exciting thought that we may be able to design UV-C germicidal systems using far-UV excimer lamps. Unlike mercury-vapor lamps and UV-C LEDs, there does not appear to be any significant photobiological risk (if their residual UV-C emissions are blocked), and so they could be deployed in direct view of the room occupants while disinfecting both the air and contaminated surfaces with their radiation.

Indeed, there are already companies advertising such products, although they do not appear to be commercially available as yet. This does not stop us, however, from asking the question: what does it take to design a UV-C disinfection system using far-UV radiation?

Excimer Lamps

Excimer lamps consist of diatomic molecules that form a plasma when an electrical current passes through them. A combination of krypton and chlorine (KrCl) gases, for example, emits 222-nm radiation, while krypton and bromine emit 207-nm radiation.

Companies such as Ushio and SterilRay manufacture excimer lamps and products for industrial and medical applications, but the lamps are typically comparable to fluorescent lamps in size and form factor (e.g., FIG. 1). However, one company – Eden Park Illumination – has adapted the technology formerly used in plasma television displays to produce thin microplasma lamps intended for general illumination purposes. One of their evaluation products is of particular interest, as it generates nearly monochromatic 222 nm UV-C radiation (FIG. 2).




FIG. 1 – Excimer Wave SterilRay Luminaire. (Source: www.sterilray.com)

Figure 2 – 222-nm microplasma excimer lamp (Source: www.edenpark.com)

The published specifications of this product are not particularly remarkable, but they are useful in that they enable us to evaluate the usefulness of this technology for germicidal applications. Eden Park states that they have achieved a maximum irradiance greater than 25 μW/cm2 in the laboratory, but this is presumably with a much shorter lifetime. (The criterion for lifetime is not defined, but presumably refers to UV-C output power depreciation over time.)

Germicidal Dose

A key characteristic of germicidal lamps of any sort is the UV-C radiation dose (irradiance multiplied by exposure time), expressed in millijoules per square centimeter (mJ/cm2). The required dose depends on both the pathogen species to be eliminated and the desired degree of reduction. For example, eliminating 90 percent of Escherichia coli O157:H7, the bacterium that causes sometimes fatal food poisoning, requires 1.5 mJ/cm2; doubling the dose eliminates 99 percent, tripling eliminates 99.9%, and so forth. This is referred to as log10 (“log-ten”), or more commonly “log,” reduction:

Log10 reductionPercent pathogen elimination
190%
299%
399.9%
499.99%
599.999%
Table 1 – Log10 pathogen reduction.

The International Ultraviolet Association publishes a compilation of dose requirements for many different pathogens, but viruses on average require a dose of about 20 mJ/cm2 for 90 percent reduction when directly exposed to the UV-C radiation (IUVA undated). Most of the studies referenced in the compilation consider 254 nm radiation from low-pressure mercury vapor lamps, but the required dose from 207-nm and 222-nm excimer lamps should be comparable.

The goal, of course, is to provide sufficient UV-C irradiance that the desired log reduction is achieved within an allotted time. With this in mind, it is useful to calculate the expected irradiance versus distance for the 222-nm microplasma excimer lamp (FIG. 3).

Figure 3 – Irradiance from 25 cm2 microplasma lamp versus distance.

It should be noted that the excimer lamp is an area source, and so the inverse square law does not apply in the near-field, or a distance of less than 10 inches. It was also assumed that the lamp has a Lambertian (i.e., cosine) radiant intensity distribution.

This plot is useful in that the irradiance versus distance values will give us a sanity check for the next phase of the design. For example, if we have a requirement for 90 percent virus reduction in 20 seconds, we would need an irradiance of 1,000 μW/cm2, requiring a distance of less than two inches from the lamp. Even if the lamp produced the maximum reported output of 25 μW/cm2, the maximum distance would still be less than five inches.

Doorway Disinfection

A possible design of obvious interest is to place the excimer lamps in the frame of a doorway or entry portal, much like an airport security scanner. Anyone passing through the doorway can – in theory – be disinfected.

In theory … the goal here is not to design a specific disinfection system, but to consider the factors that go into its design. What we learn from this exercise can be used to guide engineering design for commercially-realizable disinfection systems. Conceptually then, we want a system wherein a person walks into the doorway, does a complete 360-degree turn, then continues on after being disinfected by the (presumably) safe 222-nm UV-C radiation.

The doorway shown in Figure 4 has an opening 50 inches wide by 80 inches high. It has four microplasma lamps mounted at 30 inches and 60 inches above the floor, and a fifth lamp mounted overhead. The pseudocolor heat map shows the far-UV irradiance due to these lamps.

Figure 4 – Proposed doorway disinfection system.

It is in general difficult to obtain UV-C reflectance data for most materials. A report published four decades ago summarized the results of studies done between the 1920s and 1940s, but very little information has been published since then (Ullrich and Evans 1976). Still, there is sufficient data available to model the system shown in Figure 3 (Cader and Jankowski 1998 and Nagy 1964):

  • The reflectance of human skin to UV-C radiation is less than one percent.
  • The reflectance of oil-based paints is 5 to 10 percent.
  • The reflectance of white cotton is about 30 percent.
  • The reflectance of etched aluminum is 88 percent.

Given this, we can place a virtual mannequin inside the doorway, rotate it through 90 degrees, and measure the predicted far-UV irradiance at selected target points (FIG. 5). The results are shown in Table 2 and Figure 6.

Figure 5 – Irradiance target points.
Target0.0°22.5°45.0°67.5°90.0°Average
1 – Forehead2.013.185.447.257.965.17
2 – Chest0.102.164.686.637.314.18
3 – Abdomen0.011.884.446.537.374.05
4 – Ear8.306.483.430.000.663.77
5 -Shoulder8.429.967.102.831.265.91
6 – Hand24.9412.423.290.010.008.13
7 – Calf3.904.262.770.900.922.55
8 – Back (cervix)0.141.574.718.199.314.78
9 – Back (thorax)0.000.504.838.3710.504.84
10 – Back (thorax0.001.223.856.977.584.00
Table 2 – Target irradiance values (μW/cm2).
FIG. 6A – 0.0 degrees rotation
FIG. 6B – 22.5 degrees rotation
FIG. 6C – 45.0 degrees rotation
FIG. 6D – 67.5 degrees rotation
FIG. 6E – 90.0 degrees rotation

The design certainly has a few shortcomings, although we could have expected them from Figure 2. If the goal is to achieve a 90% reduction in pathogens (99.9% is preferable), we would need a far-UV dose of 20 mJ/cm2. With a minimum irradiance value of 2.55 μW/cm2, we would need therefore an exposure time of over two hours!

It gets worse, however. The UV-C doses required to achieve a given reduction in pathogens are determined by irradiating cultures in Petri dishes and test tubes. Disinfecting surfaces in the real world typically requires larger – sometimes much larger – doses. Increasing the number of excimer lamps would of course increase the average irradiance, but this approach has its limits. The American Conference of Governmental Industrial Hygienists recommends a maximum exposure of 3.0 mJ/cm2 of broadband (200 nm – 315 nm) ultraviolet radiation per 8-hour workday, and specifies a spectral weighting function to assess ultraviolet hazards for skin and eye (ACGIH 2013). For 222-nm radiation, the weight factor is 0.12, meaning that a maximum exposure of 25 mJ/cm2 is recommended. At 1,000 μW/cm2, a 30-second exposure would exceed the recommended daily limit. This would be a concern not only for the person being irradiated, but also for any service personnel standing near the doorway for extended periods of time.

It must be acknowledged that the ACGIH spectral weighting function is based on medical studies of photokeratitis and erythema performed prior to 1991, and so do not take recent studies of far-UV exposure into account. Nevertheless, until such time as the spectral weighting function is revised, it remains a standard for UV-C exposure limits.

One issue that will need to be addressed is that krypton-chlorine lamps emit about three percent of their radiation in the region of 230 to 260 nm, as can be seen in Figure 2. There is evidence that far-UV exposure can cause erythema in persons with phototypes I and II skin, and also patients taking photosensitizing drugs (e.g., Woods 2015 and Saadati 2016). This reaction is likely due to the residual UV-C radiation, but it can presumably be blocked by suitably doped fused quartz filters.

There is also a fundamental flaw in this design: the SARS-CoV-2 virus that causes COVID-19 appears to be spread primarily through aerosols generated by coughing, sneezing, and even talking. Even if the doorway disinfection system were capable of properly disinfecting surfaces, it would have no effect on an infected person walking through it.

Security Theater

The unfortunate conclusion is that using microplasma excimer lamps in doorway disinfection systems fails by several orders of magnitude. From an engineering perspective, this is an undesirable outcome. However, we should not be surprised to see such systems in common use in the near future. We have lived with airport security full-body scanners for years. It is widely acknowledged these devices are an example of security theater – the practice of investing in countermeasures intended to provide the feeling of improved security while doing nothing or little to achieve it. Doorway disinfection systems – with the associated annoyance of having to pause for 20 seconds or so before entering a building – may become just as common in our daily lives.

More Research Required

None of the above should be construed as a criticism of far-UV excimer lamps for room disinfection. Based on the evidence to date, they appear to be safer and equally as effective as low-pressure mercury-vapor discharge lamps for upper-room air disinfection and surface disinfection in unoccupied spaces. However, more research is required to determine whether the existing ACGIH dose recommendations for far-UV radiation can be exceeded.

References

ACGIH. 2013. Ultraviolet Radiation: TLV(R) Physical Agents 7th Edition Documentation. American Conference of Governmental Industrial Hygienists.

Buonanno, M., et al. 2017. “Germicidal Efficacy and Mammalian Skin Safety of 222-nm UV Light,” Radiation Research 187(4):483-491. DOI: 0.1667/RR0010CC.1.

Cader, A., and J. Jankowski. 1998. “Reflection of Ultraviolet Radiation from Human Skin Types,” Health Physics 74(2):169-172.

IUVA. Undated. Fluence (UV Dose) Required to Achieve Incremental Log Inactivation of Bacteria, Protozoa, Viruses, and Algae. International Ultraviolet Association: https://www.iuvanews.com/stories/pdf/archives/180301_UVSensitivityReview_full.pdf.

Nagy, R. 1964. “Application and Measurement of Ultraviolet Radiation,” American Industrial Hygiene Association Journal 25:274-281.

Narla, S., et al. 2020. “The Importance of the Minimum Dosage Necessary for UV-C Decontamination of N95 Respirators During the COVID-19 Pandemic,” Photodermatology, Photoimmunology & Photomedicine. DOI: 10.1111/phpp.12562.

Saadati, S. 2016. Study of Ultraviolet C Light Penetration and Damage in Skin. Department of Radiophysics, Sahlgrenska University Hospital.  Gothenburg, Sweden.

Ullrich, O. A., and R. M. Evans. 1976. Ultraviolet Reflectance of Paints. American Welding Society.

Welch, D., et al. 2018. “Far-UVC Light: A New Tool to Control the Spread of Airborne-Mediated Microbial Diseases,” Scientific Reports 8:2752. DOI: 10.1038/s41598-018-21058-w.

Wells, W., and M. Wells. 1936. “Air-borne Infection,” J. American Medical Association 107:1069:1703.

Woods J. A., et al. 2015. “The Effect of 222-nm UVC Phototesting on Healthy Volunteer Skin: A Pilot Study,” Photodermatology, Photoimmunology & Photomedicine 31(3):159- 166.

Climate-based Annual Daylight Modelling for Greenhouses with Supplemental Electric Lighting

Climate-based Annual Daylight Modelling for Greenhouses with Supplemental Electric Lighting

This is a preprint of a paper presented by the author at the International Society for Horticultural Lighting (ISHS)’s GreenSys 2019 conference in Angers, France in June 2019, and scheduled for publication in Acta Horticulturae .

Abstract

Recent advances in LED-based luminaire design have enabled greenhouse operators to temporally control both the photon flux density (PFD) and spectral irradiance incident upon the plant canopy. However, it is difficult to predict the performance and benefits of these luminaires without knowledge of the time-varying PFD and spectral irradiance due to daylight. We have addressed this problem with the development of horticultural lighting design software that incorporates validated climate-based annual daylighting calculations, physically-based modelling of glazing and light diffusion materials, modelling of spectral reflectance from greenhouse crops and surrounding surfaces, and accurate simulation of optical radiation distribution within the greenhouses from direct sunlight, diffuse daylight, and supplemental electric light sources. These measurements can be used to determine daylight availability, monthly Daily Light Integrals, automated shade and energy curtain deployment schedules, and projected electrical energy costs, all in advance of building the physical structures.

Introduction

Since their commercial introduction in 1964, high-pressure sodium (HPS) lamps have been a mainstay of supplemental electric lighting in greenhouses. With their fixed light outputs and spectral power distributions (SPDs), however, there has been little incentive or opportunity for commercial greenhouse operators with experiment with different “light recipes” for optimum plant growth and health.  Rather, the luminaires are typically turned on at dusk and operated until the desired Daily Light Integral (DLI) for the crop or ornamental plats is achieved.

The introduction of light-emitting diodes (LEDs) for horticultural lighting has completely changed this situation. Many luminaire manufacturers are now offering products with separate SPD settings for promoting vegetative growth and blooming. Some manufacturers are going further by including, in addition to the ubiquitous 450 nm blue and 660 nm red LEDs, ultraviolet-A, green and “white light” LEDs with different correlated color temperatures (CCTs), and also 735 nm far-red LEDs. Going further still, a few products can be dimmed in response to inputs from daylight sensors, and it likely that future products will enable computer control of their SPDs beyond simple “veg” and “bloom” settings.

Together, these studies indicate that successful light recipes may involve daily dynamic changes in both the photon flux density (PFD) and SPDs delivered to crops and ornamentals in greenhouses. However, there is a problem. Most of these studies have been conducted in controlled environment growth chambers.  It is often difficult to translate such laboratory research to greenhouse environments (e.g., Annunziata et al., 2017). Even if light recipes for a given crop or ornamental are developed in a research greenhouse, it is difficult to ensure that all of the requirements are met in commercial greenhouses. Certainly, such simple metrics as DLI are not enough.

GREENHOUSE MODELLING

Modelling a greenhouse begins with its most important element: glazing.

Glazing

For the purposes of daylighting, glazing materials have three important optical properties:

Fresnel transmittance.

The optical transmittance of transparent glass and rigid plastic panels (collectively dielectric materials) depends on the angle of incidence q of the incoming light (Figure 1). At normal incidence (i.e., q = 0 degrees), each surface reflects about 4 percent of the light. A single pane has two surfaces, and so the maximum possible transmittance is 92 percent. Double-pane and triple-pane insulated glass panels correspondingly have maximum possible transmittances of 85 percent and 78 percent respectively


What is more important is that the transmittance decreases with increasing angle of incidence, as determined by the “Fresnel equations” (e.g., Ashdown, 2019). This is clearly evident when reflections of the Sun from windows are viewed at grazing angles. Anti-reflection (AR) coatings can improve the transmittance somewhat at normal incidence, but the Fresnel transmittance still dominates at large incidence angles.

Figure 1. The transmittance of transparent glazing depends on the angle of incidence q and the number of panes.

It is also important to note that Figure 1 applies to daylight with a specific angle of incidence. Looking at the graph, it is evident that the transmittance of direct sunlight through the greenhouse glazing panels will depend on the solar position (azimuth and altitude), the building orientation, and the roof panel slope. The solar position varies throughout the day and year, of course, and so any transmittance calculations need to be performed on an hourly basis.

What is less evident is that daylight is comprised of both direct sunlight and diffuse daylight. On a clear summer day at noon, the ratio of direct sunlight to diffuse daylight incident on a surface facing the sun may be 20:1 or so; on an overcast day, there is no direct sunlight. In addition, the amount of daylight diffusely reflected from the ground and incident on vertical surfaces is typically 20 percent or so. The graph shown in Figure 1 is therefore instructive but not useful for calculation purposes.

Diffusion.

There is growing evidence that plants use diffuse light more effectively than direct sunlight (e.g., Li and Yang, 2015). Particularly for shade-tolerant plants, translucent glazing results in more even spatial distribution of photosynthetic photon flux (PPFD) within the greenhouse, and also reduces its temporal variation on clear days.

Of course, the analytic modelling method for diffusion materials can also be used to represent greenhouse shade cloth, paint materials, and condensation on otherwise non-diffusing glazing.

Spectral transmittance.

The spectral range of photobiologically active radiation (PBAR) is generally assumed to be 280 nm to 800 nm (ASABE, 2017). This includes ultraviolet-B (280 nm to 315 nm) and ultraviolet-A (315 nm to 400 nm). However, soda-lime glass is opaque to ultraviolet radiation below approximately 320 nm, and so UV-B radiation, while shown to be beneficial to field-grown plants, is not a consideration in greenhouses. Similarly, low-density polyethylene (LDPE) used as an agricultural film for polytunnels, is opaque below 350 nm (Cadena and Acosta, 2014), while polycarbonate is opaque below 390 nm.

Given this, it is reasonable to model spectral irradiance inside greenhouses and polytunnels from 350 nm to 800 nm, where the spectral transmittance of soda-lime glass, LDPE, and polycarbonate is basically constant.

Greenhouse Structure

For most greenhouse designs, the purpose of the greenhouse structure is to support the glazing and possibly fan housings and motorized shades. From the perspective of climate-based daylight modelling, it is the size, position, and orientation of the glazing panels (or film for polytunnels) that is most important.

 While there are many custom greenhouse designs, almost all commercial greenhouses can be classified as having arch, Gothic, Venlo, or sawtooth roofs, while polytunnels can be classified as having either arch or Gothic hoops (Figure 2).

Gothic Tunnel

Figure 2. Four different greenhouse roof styles and two different polytunnel hoop styles determine how direct sunlight and diffuse daylight are transmitted through the roof panels.

While not directly related to daylight modelling, it would clearly be a time-consuming exercise for a typical user (for example, a greenhouse or horticultural luminaire manufacturer) to design and model an entire greenhouse with all the side posts, rafters, support columns, purlins, and cross ties. Fortunately, the simplicity of the framework makes it possible to use parametric design techniques, where the software generates the entire greenhouse structure from a few user-specified parameters. This can include the dimensions and spacing of tables, the placement of horticultural luminaires as supplemental electric lighting, and the specification of motorized shades.

A computer-aided drafting (CAD) model as shown in Figure 3 and needed for the daylighting calculations can be generated from the user-specified parameters in a fraction of a second. Due to the modular nature of greenhouses, even greenhouses as large as hundreds of thousands of square meters can be generated in the same amount of time.

Figure 3. Automatically-generated CAD model of a Venlo greenhouse.

Horticultural Luminaires

For over a century, architectural luminaires have been modeled as point light sources with angular luminous intensity distributions (Figure 4). For more than thirty years, the laboratory measurements have been reported using formatted text files that lighting design software programs can read.

To address this issue, an international standard was developed with specific support for horticultural lighting. Currently published in the United States (IES, 2018) and Italy (UNI, 2019), it is being developed for publication as a worldwide ISO standard. Its features include:

  1. Photon intensity distribution (measured in µmol ´ sr-1 ´ sec-1)
  2. Total photon flux (measured in µmol ´ sec-1)
  3. Spectral power distribution (measured in watts ´ nm-1)
  4. Channel multiplier

If the luminaire allows the LED color intensities to be individually controlled, these can be represented by a “channel multiplier” for each color that represents the channel dimmer setting when the luminaire’s optical characteristics were measured.

Figure 4. Luminaire photon intensity distribution.

Horticultural luminaire manufacturers currently report photosynthetic photon intensity distributions (or a multiplier to convert from lumens to photon flux). However, future light recipes will require more information than this. Accordingly, the spectral range is specified for the photon measurements (minimum and maximum wavelengths) so that it is possible to represent ultraviolet (280 nm – 400 nm), photosynthetic (400 nm – 700 nm), and far-red (700 nm – 800 nm) photon intensity and flux values (ASABE, 2017).

Weather Data

To calculate the daylight incident on a greenhouse, the software needs to know the building’s latitude, longitude, and compass (orientation). With this, it is possible to locate the nearest weather station for which a Typical Meteorological Year (TMY) weather dataset is available. One example is the collection of EnergyPlus TMY3 datasets, representing over 2,500 locations worldwide, although there are other datasets available that have been derived from combinations of historical weather data and weather satellite observations.

Virtual PAR Sensors

To measure the spatial distribution of PPFD on the plant canopy in the greenhouse, it is necessary to specify a horizontal array of virtual PAR (quantum) sensors. Each sensor will then receive direct sunlight, diffuse daylight, and direct photon flux from the luminaires (if any).

There are no restrictions on the position and orientation of the PAR sensors, so they could also for example be placed between the plant rows and oriented to measure vertical rather than horizontal photon flux, including that reflected from the floor and plant leaves.

Daylight Calculations

Once the greenhouse has been modeled and a weather dataset appropriate for the location obtained, the climate-based annual daylight calculations can be performed. Each weather dataset typically has 8,760 hourly records, so there are 4,380 different daylighting scenarios that must be considered.

The daylight calculations occur in two phases. In the first phase, the daylight incident on the exterior of the building is determined. This includes determining:

  • The solar position (altitude and azimuth) for a given time and date;
  • The direct solar irradiance;
  • The spatial distribution of diffuse daylight radiance on the sky dome;
  • The daylight diffusely reflected from the ground; and
  • The daylight SPD.

where the spatial distribution of the diffuse daylight is calculated in accordance with the industry-standard Perez sky model (Perez et al., 1993). The daylight calculation algorithms are detailed elsewhere (Ashdown, 2017).

Daylight SPD

Both direct sunlight and diffuse daylight have SPDs that closely resemble that of a black-body radiator, and so they can be uniquely described by their color temperature, expressed in kelvins (K). Direct sunlight has a color temperature of approximately 5500K, while that of clear blue sky typically ranges from approximately 7500K to 15,000K.

The SPD of daylight with color temperatures greater than 4000K can be calculated using the equations presented in CIE 15:4, Colorimetry (CIE, 2004). For example, the combination of direct sunlight and diffuse daylight on a clear day has a color temperature of approximately 6500K (which is the same white color as a computer display); the corresponding SPD is shown in Figure 6.

For overcast skies, clouds are spectrally neutral and so scatter daylight without changing its SPD. Consequently, a typical overcast sky has a color temperature between 6000K and 6600K (Lee and Hernández-Andréz, 2006). Given this, it is reasonable to assume a color temperature of 5500K for direct sunlight, 10,000K for clear blue sky, and 6500K for overcast sky.

Radiosity calculations

The second phase of the daylight and electric lighting calculations determine the spatial distribution and temporal changes in PPFD within the greenhouse. These calculations use a version of radiative flux transfer equations referred to as the radiosity method, and have been detailed elsewhere (e.g., Ashdown, 1994). Of significance for horticultural lighting design is that even though some 4,380 hourly daylight scenarios must be calculated, the calculation times are on the order of a few seconds to a few minutes, depending on the size of the greenhouse (Ashdown, 2018a).

Automated Shades

Automated shades are a common approach to limit the amount of direct sunlight incident upon the plant canopy. Given this, designated glazing panels in the greenhouse models can be modelled as being both transparent and diffusing (or, for energy curtains, opaque). This has no effect on the daylight or electric lighting calculation times, but it does mean that after the calculations have been completed, the spatial distribution of PPFD within the greenhouse can be accessed on a per-hour basis afterwards with the shades either open or closed.

Virtual Spectroradiometer

Architectural lighting design software models light sources as being “white,” and all surface colors as being combinations of red, green, and blue components. This works well for both lighting calculations and architectural visualizations, but it means that the daylight and luminaire SPDs cannot be represented. (They could, but it would require that the spectral reflectance distributions of all surfaces would need to be known, and greatly increasing the calculation times and memory requirements.)

Fortunately, there are mathematical techniques borrowed from remote satellite imaging that obviate the need for spectral reflectance distributions (e.g., Fairman and Brill, 2004). Instead, given only the red, green and blue components of a color, it is possible to reconstruct a physically plausible SPD. With this, it is possible to implement a virtual spectroradiometer that can be positioned and oriented anywhere in the greenhouse after the lighting calculations have been completed.

Figure 5. Virtual spectroradiometer measuring daylight SPD inside a greenhouse.

RESULTS ANALYSIS

Once the daylight and electric lighting calculations have been completed, the most obvious analyses include calculating the predicted monthly DLIs and predicted electrical energy costs for the proposed buildings. However, new tools introduce new opportunities, and CBDM for greenhouses is no exception.

As one example, shade fabrics are available with a wide range of absorption and diffusion characteristics. By modelling different fabrics in software, it is possible to determine which will offer the best performance for different crops, taking into account the monthly DLIs and peak PPFDs rather than simply calculating an example time and date.

Figure 6. Analytic bidirectional scattering distribution function (BSDF) of diffiuion material.

Automated shades and energy curtains are another example. The calculation results can be used to develop automatic shade deployment schedules in response to changing weather conditions. It may be, for example, that the shades are ineffective – something that can be determined during the design phase rather than after construction.

Yet another example is light pollution. Increasing attention is being paid to the negative aspects of greenhouse lighting at night – light trespass onto neighbouring residential properties, increased sky glow (especially on overcast nights with low cloud cover), and ecological disruption for both animals and plants. Greenhouse lighting design software can be used to model and predict these problems. (As one particular example, roof-mounted energy curtains can potentially result in a 20 percent or more reduction in electrical operating costs due to the light being reflected back down onto the plant canopy.)

Finally, a virtual spectroradiometer is the ideal tool for predicting the spectral distribution of photon flux anywhere in the greenhouse. As light recipes become more sophisticated, such a tool becomes increasingly valuable.

CONCLUSIONS

As stated in the introduction, the goal of this paper has been to report on the development of climate-based daylight modelling software specifically for greenhouses and polytunnels with optional supplemental electric lighting. The focus has been on the horticultural aspects of the software from a user’s perspective, with as few references to computer science and related topics as possible. To do otherwise would have required at least several textbooks worth of material.

The real goal of this paper has been to introduce what is basically a new tool for greenhouse designers, and to explore the issues that it addresses. This paper will hopefully provide the foundation for further conversations between horticulturalists and software developers responsible for such tools.

ACKNOWLEDGEMENTS

The author wishes to thank Peter Socha for his assistance in the research for this paper.

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