## Luminance for Lambertian Surfaces Solution

STEP 0: Pre-Calculation Summary
Formula Used
Luminance = Illumination Intensity/pi
Lv = Ev/pi
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Luminance - (Measured in Lux) - Luminance refers to the amount of light emitted, reflected, or transmitted by a surface or object per unit area. It measures the brightness or intensity of the light perceived by an observer.
Illumination Intensity - (Measured in Lux) - Illumination intensity refers to the level or strength of light in a given area. It quantifies the amount of light reaching a surface and is typically measured in units such as lux or foot-candles.
STEP 1: Convert Input(s) to Base Unit
Illumination Intensity: 1.02 Lux --> 1.02 Lux No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lv = Ev/pi --> 1.02/pi
Evaluating ... ...
Lv = 0.324676083907466
STEP 3: Convert Result to Output's Unit
0.324676083907466 Lux -->0.324676083907466 Candela Steradian per Sq Meter (Check conversion ​here)
0.324676083907466 0.324676 Candela Steradian per Sq Meter <-- Luminance
(Calculation completed in 00.004 seconds)
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## Credits

Created by Aman Dhussawat
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
Aman Dhussawat has created this Calculator and 50+ more calculators!
Verified by Parminder Singh
Chandigarh University (CU), Punjab
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## < 6 Methods of Lighting Calculators

Intensity of Light Transmitted
Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption Coefficient*Path Length)
Number of Floodlighting Units
Number of Floodlighting Units = (Area to be Lighted*Illumination Intensity)/(0.7*Lumen Flux)
Spectral Transmission Factor
Spectral Transmission Factor = Transmitted Spectral Emission/Spectral Irradiation
Spectral Reflection Factor
Spectral Reflection Factor = Reflected Spectral Emission/Spectral Irradiation
Spectral Luminous Efficacy
Spectral Luminous Efficacy = Maximum Sensitivity*Photopic Efficiency Value
Luminance for Lambertian Surfaces
Luminance = Illumination Intensity/pi

## < 16 Advanced Illumination Calculators

Beer-Lambert Law
Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption per Concentration Coefficient*Concentration of Absorption Material*Path Length)
Fresnel's Law of Reflection
Reflection Loss = (Refractive Index of Medium 2-Refractive Index of Medium 1)^2/(Refractive Index of Medium 2+Refractive Index of Medium 1)^2
Refracted Angle using Snell's Law
Refracted Angle = arcsinh((Refractive Index of Medium 1*sin(Incident Angle))/(Refractive Index of Medium 2))
Incident Angle using Snell's Law
Incident Angle = arcsinh((Refractive Index of Medium 2*sin(Refracted Angle))/(Refractive Index of Medium 1))
Intensity of Light Transmitted
Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption Coefficient*Path Length)
Illumination by Lambert Cosine Law
Illumination Intensity = (Luminous Intensity*cos(Illumination Angle))/(Length of Illumination^2)
Number of Floodlighting Units
Number of Floodlighting Units = (Area to be Lighted*Illumination Intensity)/(0.7*Lumen Flux)
Lambert's Cosine Law
Illuminance at Angle of Incidence = Illumination Intensity*cos(Incident Angle)
Spectral Transmission Factor
Spectral Transmission Factor = Transmitted Spectral Emission/Spectral Irradiation
Spectral Reflection Factor
Spectral Reflection Factor = Reflected Spectral Emission/Spectral Irradiation
Utilization Factor of Electrical Energy
Utilization Factor = Lumen Reaching Working Plane/Lumen Emitting from Source
Spectral Luminous Efficacy
Spectral Luminous Efficacy = Maximum Sensitivity*Photopic Efficiency Value
Inverse Square Law
Luminance = Intensity of Transmitted Light/Distance^2
Specific Consumption
Specific Consumption = (2*Input Power)/Candle Power
Luminance for Lambertian Surfaces
Luminance = Illumination Intensity/pi
Luminous Intensity
Luminous Intensity = Lumen/Solid Angle

## Luminance for Lambertian Surfaces Formula

Luminance = Illumination Intensity/pi
Lv = Ev/pi

## What is meant by Lambertian surface?

The Lambertian diffuse model assumes that light reflected from a rough surface is dependent only on the surface normal and light direction, and therefore a Lambertian surface is equally bright in all directions. This model conflicts with the observed behavior for diffuse surfaces such as the moon.
The Lambertian diffuse model assumes that light reflected from a rough surface is dependent only on the surface normal and light direction, and therefore a Lambertian surface is equally bright in all directions. This model conflicts with the observed behavior for diffuse surfaces such as the moon.

## How to Calculate Luminance for Lambertian Surfaces?

Luminance for Lambertian Surfaces calculator uses Luminance = Illumination Intensity/pi to calculate the Luminance, The Luminance for Lambertian Surfaces formula is defined as the brightness of a Lambertian surface appears uniform from any direction of view; in other words, the luminance of the surface is isotropic. Lambertian surfaces are often referred to as ideal diffusion surfaces. Luminance is denoted by Lv symbol.

How to calculate Luminance for Lambertian Surfaces using this online calculator? To use this online calculator for Luminance for Lambertian Surfaces, enter Illumination Intensity (Ev) and hit the calculate button. Here is how the Luminance for Lambertian Surfaces calculation can be explained with given input values -> 0.324676 = 1.02/pi.

### FAQ

What is Luminance for Lambertian Surfaces?
The Luminance for Lambertian Surfaces formula is defined as the brightness of a Lambertian surface appears uniform from any direction of view; in other words, the luminance of the surface is isotropic. Lambertian surfaces are often referred to as ideal diffusion surfaces and is represented as Lv = Ev/pi or Luminance = Illumination Intensity/pi. Illumination intensity refers to the level or strength of light in a given area. It quantifies the amount of light reaching a surface and is typically measured in units such as lux or foot-candles.
How to calculate Luminance for Lambertian Surfaces?
The Luminance for Lambertian Surfaces formula is defined as the brightness of a Lambertian surface appears uniform from any direction of view; in other words, the luminance of the surface is isotropic. Lambertian surfaces are often referred to as ideal diffusion surfaces is calculated using Luminance = Illumination Intensity/pi. To calculate Luminance for Lambertian Surfaces, you need Illumination Intensity (Ev). With our tool, you need to enter the respective value for Illumination Intensity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Luminance?
In this formula, Luminance uses Illumination Intensity. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Luminance = Intensity of Transmitted Light/Distance^2
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