Luminance for Lambertian Surfaces Calculator

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✖Illumination Intensity is defined as the number of lumens, falling on the surface, per unit area.ⓘ Illumination Intensity [E_v]

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✖Luminance describes the amount of light that is emitted from, passed through, or reflected off an object. It is measured using candela per square meter.ⓘ Luminance for Lambertian Surfaces [L_v]

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Formula

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Luminance for Lambertian Surfaces

Formula

`"L"_{"v"} = "E"_{"v"}/pi`

Example

`"0.254648cd*sr/m²"="0.8lx"/pi`

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Luminance for Lambertian Surfaces Solution

STEP 0: Pre-Calculation Summary

Formula Used

Luminance = Illumination Intensity/pi
L_v = E_v/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 describes the amount of light that is emitted from, passed through, or reflected off an object. It is measured using candela per square meter.
Illumination Intensity - (Measured in Lux) - Illumination Intensity is defined as the number of lumens, falling on the surface, per unit area.

STEP 1: Convert Input(s) to Base Unit

Illumination Intensity: 0.8 Lux --> 0.8 Lux No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_v = E_v/pi --> 0.8/pi

Evaluating ... ...

L_v = 0.254647908947033

STEP 3: Convert Result to Output's Unit

0.254647908947033 Lux -->0.254647908947033 Candela Steradian per Sq Meter (Check conversion here)

FINAL ANSWER

0.254647908947033 Candela Steradian per Sq Meter <-- Luminance

(Calculation completed in 00.015 seconds)

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Created by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

Aman Dhussawat has created this Calculator and 10+ more calculators!

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Chandigarh University (CU), Punjab

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< 7 Methods of Lighting Calculators

Number of Lamps Required for Illumination

Go Number of Lamp = (Illumination Intensity*Area of Illumination)/(Luminous Flux*Utilization Factor*Maintenance Factor)

Intensity of Light Transmitted

Go Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption Coefficient*Path Length)

Number of Floodlighting Units

Go Number of Floodlighting Units = (Area to be Lighted*Illumination Intensity)/(0.7*Lumen Flux)

Spectral Transmission Factor

Go Spectral Transmission Factor = Transmitted Spectral Emission/Spectral Irradiation

Spectral Reflection Factor

Go Spectral Reflection Factor = Reflected Spectral Emission/Spectral Irradiation

Spectral Luminous Efficacy

Go Spectral Luminous Efficacy = Maximum Sensitivity*Photopic Efficiency Value

Luminance for Lambertian Surfaces

Go Luminance = Illumination Intensity/pi

Luminance for Lambertian Surfaces Formula

Luminance = Illumination Intensity/pi
L_v = E_v/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 L_v 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 (E_v) and hit the calculate button. Here is how the Luminance for Lambertian Surfaces calculation can be explained with given input values -> 0.254648 = 0.8/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 L_v = E_v/pi or Luminance = Illumination Intensity/pi. Illumination Intensity is defined as the number of lumens, falling on the surface, per unit area.

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 (E_v). 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.

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