## Understanding the Photometric Light Measurement Units

There are two sets of light intensity measurement units:
The Photometric units measure the intensity of visible light** as it is perceived by the human eye, and the Radiometric units measure the intensity of electromagnetic radiation***, which is the broader physical phenomenon of light, including the whole spectrum of radiation beyond visible light** (like x-rays and infrared radiation for example).

Light intensity is generally measured in three ways:

1. The directional intensity received from a light source as it is measured from a point in space. i.e Luminance in Photometric units or Radiance in Radiometric units.

2. The total light intensity output a light source emits to all directions i.e Luminous Flux in Photometric units or Radiant Flux in Radiometric units.

3. The amount of light intensity received by a surface from all directions i.e Illuminance in Photometric units or Irradiance in Radiometric units.

Similarly to the way measurement of kinetic power is based on the power of an ideal horse, the Photometric measurement units base the scale of light intensity on the light emitted by an ideal candle.

Luminance (Candela):
When measured from any point in space, the Luminance of an ideal candle seen from that point is measured as 1Candela‘ i.e. 1CD‘.
> In 3D rendering, a photometric IES file describes a light source’s light beam pattern by listing the Luminance or CD of the light source in different directions.

For light emitting surfaces like LCD screens Luminance is measured as Candelas per 1 square meter of surface i.e. CD/m2. Typical LCD computer monitors for instance, have a Luminance of about 250 CD/m2. imagine your computer screen displaying pure white and extended to an area of 1m x 1m, the light intensity perceived from it would be as if about 250 candles were spread on the whole area.

Luminous Flux (Lumen):
The amount of light emitted by an ideal candle through 1 solid angleSteradian‘**** conic beam distribution is measured as 1Lumen‘ or 1lm‘. the total Luminous Flux of the candle in all directions is 4 x PI lumens i.e 12.56 lumens which is simply the whole surface area of the unit sphere.
> The total amount of light produced by different kind of light bulbs is usually specified by Luminous Flux measurement i.e how many Lumens does the light source output.
> If sn optical reflector is placed next to a light source, focusing all it’s light output to a narrow direction, it wont change the light source’s Luminous Flux (Lumen) output, but since the same Luminous Flux will be focused to a narrower beam, it will have a higher Luminance (CD) measured from that direction, and therefore surfaces at that direction will be receive a brighter Illumination (Lux) (see below).

Illuminance (Lux):
A 1 m2 (meter squared) area surface, receiving illumination of 1 lumen has a measured Illuminance of 1 lux or 1 lx. Illuminance is measured by how many lumens a surface receives per square meter.
> In photography, the amount of Illuminance at which a surface is lit is important for determining the proper photographic exposure for the picture.

The inverse-square law:
As a light beam travels through space it’s distribution covers a larger and larger area, therefore it’s energy per area is reduced. the light energy a candle emits through 1 solid angle steradian, in a distance of 1 meter will cover an area of 1 meter squared, therefore the area of 1 meter squared will receive 1 lumen of light energy and will be illuminated with an illuminance of 1 lux. as that 1 lumen of light energy travels another 1 meter further, to a distance of 2 meters from the candle, it spreads and covers an area of 4 meter squared. each square meter of the 4 now receives just 1/4 of a lumen, so it’s illuminated by only 1/4 lux. as that 1 lumen of light energy travels another 1 meter further, to a distance of 3 meters from the candle, it spreads and covers an area of 9 meter squared. each square meter of the 9 now receives just 1/9 of a lumen, so it’s illuminated by only 1/9 lux. after a distance of 4 meters, the same 1 lumen on light energy will be spread on an area of 16 meter squared, so each square meter will be illuminated by 1/16 lux. you can already see the emerging pattern, the illumination intensity is inversely proportional to the square of the distance to the light source. This phenomenon is referred to as ‘The inverse-square law‘, and in practical terms it means that surface illumination is greatly influenced by it’s distance from the light source.

Notes:

* Radiometric units measure light intensity using Watt light energy units.
note that this isn’t the Watt measurement units of electric consumption we’re used to for classifying electric light sources with, but a Watt measurement of the actual energy in the light itself.

** Electromagnetic radiation of wave lengths that stimulate the human eye.

*** Also referred to as ‘light‘ in physics.

**** A ‘Steradian‘, also referred to as ‘square radian’ is a measurement unit of 3D conic span or ‘solid angle’. a solid angle of 1 Steradian beginning at the center of a unit sphere covers exactly an area of 1 squared on the surface of the sphere. (the whole surface area of the sphere being 4 PI). The Steradian can be thought of as the Radian’s 3 dimensional ‘cousin’.

Related posts:
IES lighting in CG
Fresnel reflections

## Realistic Spotlights for Blender & Cycles

Software:
Blender 2.79 | Cycles Renderer

There’s currently no built-in support for IES light sources in Blender & Cycles.
We already know that Blender 2.8 will have the feature built into it (which is great news!), and there’s an addon that provides the functionality, but I wasn’t satisfied with it’s workflow, not being integrated well into Cycles.
So I decided to develop a custom Cycles shader (node group) that will provide realistic IES like spotlights in a convenient customizable way.

The ShaderÂ I developed is calledÂ CG-Lion Spotlight Presets Pack 1.0 andÂ is available for purchase on Blender Market.
It doesn’t load external IES files, but instead has a pre-configured library of 20 spotlights shapes, and also provides features that are not available in IES lighting like tweaking the spotlight beam focus, adding a chromatic dolor dispersion effect, and producing a correctly bright surface at the light source.

## IES Lighting in CG

IES stands for Illuminating Engineering Society, it is the organization responsible for creating and maintaining industrial standards for design and manufacturing of artificial light sources.

In 3D rendering, an IES file or “photo-metric file” is a text file containing a photometric description of a light source’s beam spread , pattern and intensity, allowing for faithful depiction of the light source in 3D renders.
Most modern 3D rendering software support IES lights, that is allow loading IES files into the software and lighting the 3D scene using the light source described in the IES file.

Lighting manufacturers make measurements of their light fixture model’s physical light output and create IES files available for download on their websites.
This allows architects, lighting designers, and interior designers to download the files and realistically visualize the light sources effect on their projects.

CG artists use IES lights to add realistic spotlight beam patterns to their renderings and animations, such that can’t be created using regular simple 3D light sources.

Examples of IES lights rendered with V-Ray for 3ds max:

## Maya – Setting the V-Ray Sun direction according to location, date and time

Software:
Maya 2018 | V-Ray 3.6

To set the VRaySun photometric light source diretion according to the location in the world, the date and the time:

1. Select the VRaySun parent node – ‘VRayGeoSun1Transform‘ and rotate it so its Z axis points to the architectural plan’s south.
2. Select the VRaySun node – ‘VRayGeoSun1‘ and in its attributes un-check Manual Position.
This will make the location / date / time parameters accessible.
3. Set the GMT zone of you architectural project’s location in the world, the Date and time.
* haven’t found how to set daylight saving time….

## Cycles Area Light pleasant surprise

Software:
Blender 2.79

One of the features I would really like added to the Cycles Renderer is a photo-metric workflow.
That is the ability to set light sources intensity using real-world photo-metric units, load IES photo-metric data, have a physical daylight system, and set photographic camera exposure and white-balance for the output image.

While Cycles currently doesn’t have a fully functional photo-metric workflow,
It is equipped with some important basic ingredients needed for the development of such a workflow.

One Of these features is the Black-Body color conversion node that allows specifying color by Kelvin color temperature,
Another is the procedural Sky texture featuring Hosek / Wilkie and Preetham physical sky models, that can also be controlled according to global position, date and time with this addon.

Recently I’ve had a pleasant surprize finding out that Cycles actually has another important feature for a photometric workflow, and that is that Cycles Area Lights maintain a fixed general light output (‘Luminous Flux’) while area is changed and changes specular intensity correctly to so that the smaller the light source area, the greater its brightness (as it should physically be).
* This in difference to the way a mesh light with an emission shader behaves where the light output is per area and therefore increases or decreases when changing the shape and size of the surface.

This makes designing light sources with a fixed total output of light yet different shape, and therefore different specular reflection, shading, shadow softnessÂ possible,
And is in itself a valuable feature in realistic light source design.
* Especially coupled with setting the light color using Kelvin color temperature (Black-body node)
The only thing missing is the an ability to specify the total output of the light source in Lumens (lm) units.

I have encountered a mentioning of Cycles having a physical scale conversion ratio here:

http://www.3d-wolf.com/camera.html

Marco Pavanello, the developer of the Blender ‘Real Camera Addon‘ wrote:
“In Blender the Emission Node Strength is measured in W/m^2”
I haven’t had the time yet to seriously find out how that should be translated to intensity in lumens..
* ItÂ  should be noted that both the Cycles Area light and mesh light use the Emission shader as there source for intensity / color settings, but differently,
You can see in the demonstrations below that for a light source of the same surface area a significantly larger strength value is needed to produce roughly the same light output as the light mesh and this is probably due to the output being internally divided by surface area which is in fact the subject of this post.

Here are some renders to illustrate the point, and the diffrent behavior of light mesh (mesh with an Emission shader)
I’ve added a rough glare effect that depends on float color intensity to illustrate the way the specular highlight intensity increases as the area of the ligt source gets smaller while overall light output is the same:

Cycles Mesh Light using an Emission Shader with different sizes and strength changes to compensate

## Daylight system for Blender

Software:
Blender 2.78

Found a simple and effective sun positioning addon for Blender,