Luminance for Lambertian Surfaces Calculator

✖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.ⓘ Illumination Intensity [E_v]

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✖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.ⓘ Luminance for Lambertian Surfaces [L_v]

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Luminance for Lambertian Surfaces

Formula

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

Example

`"0.324676cd*sr/m²"="1.02lx"/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 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

L_v = E_v/pi --> 1.02/pi

Evaluating ... ...

L_v = 0.324676083907466

STEP 3: Convert Result to Output's Unit

0.324676083907466 Lux -->0.324676083907466 Candela Steradian per Sq Meter (Check conversion here)

FINAL ANSWER

0.324676083907466 ≈ 0.324676 Candela Steradian per Sq Meter <-- Luminance

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Utilization of Electrical Energy » Illumination » Methods of Lighting » Luminance for Lambertian Surfaces

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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

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

< 16 Advanced Illumination Calculators

Beer-Lambert Law

Go 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

Go 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

Go Refracted Angle = arcsinh((Refractive Index of Medium 1*sin(Incident Angle))/(Refractive Index of Medium 2))

Incident Angle using Snell's Law

Go Incident Angle = arcsinh((Refractive Index of Medium 2*sin(Refracted Angle))/(Refractive Index of Medium 1))

Intensity of Light Transmitted

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

Illumination by Lambert Cosine Law

Go Illumination Intensity = (Luminous Intensity*cos(Illumination Angle))/(Length of Illumination^2)

Number of Floodlighting Units

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

Lambert's Cosine Law

Go Illuminance at Angle of Incidence = Illumination Intensity*cos(Incident Angle)

Spectral Transmission Factor

Go Spectral Transmission Factor = Transmitted Spectral Emission/Spectral Irradiation

Spectral Reflection Factor

Go Spectral Reflection Factor = Reflected Spectral Emission/Spectral Irradiation

Utilization Factor of Electrical Energy

Go Utilization Factor = Lumen Reaching Working Plane/Lumen Emitting from Source

Spectral Luminous Efficacy

Go Spectral Luminous Efficacy = Maximum Sensitivity*Photopic Efficiency Value

Inverse Square Law

Go Luminance = Intensity of Transmitted Light/Distance^2

Specific Consumption

Go Specific Consumption = (2*Input Power)/Candle Power

Luminance for Lambertian Surfaces

Go Luminance = Illumination Intensity/pi

Luminous Intensity

Go Luminous Intensity = Lumen/Solid Angle

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 -> 0.324676 = 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 L_v = E_v/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 (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.

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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