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Luminance for Lambertian Surfaces Formula

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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. Check FAQs

L v = \frac{E v}{π}

L_v - Luminance?E_v - Illumination Intensity?π - Archimedes' constant?

Luminance for Lambertian Surfaces Example

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Here is how the Luminance for Lambertian Surfaces equation looks like with Values.

Here is how the Luminance for Lambertian Surfaces equation looks like with Units.

Here is how the Luminance for Lambertian Surfaces equation looks like.

0.3247 = \frac{1.02}{3.1416}

0.3247cd*sr/m² = \frac{1.02lx}{3.1416}

0.3247 = \frac{1.02}{3.1416}

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Luminance for Lambertian Surfaces Solution

Follow our step by step solution on how to calculate Luminance for Lambertian Surfaces?

FIRST Step Consider the formula

L v = \frac{E v}{π}

Next Step Substitute values of Variables

∴

L v = \frac{1.02lx}{π}

Next Step Substitute values of Constants

∴

L v = \frac{1.02lx}{3.1416}

Next Step Prepare to Evaluate

∴

L v = \frac{1.02}{3.1416}

Next Step Evaluate

∴

L v = 0.324676083907466lx

Next Step Convert to Output's Unit

∴

L v = 0.324676083907466cd*sr/m²

LAST Step Rounding Answer

∴

L v = 0.3247cd*sr/m²

Luminance for Lambertian Surfaces Formula Elements

Variables

Constants

Luminance

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.

Symbol: L_v

Measurement: IlluminanceUnit: cd*sr/m²

Note: Value can be positive or negative.

Formulas to find Luminance

Illumination Intensity

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.

Symbol: E_v

Measurement: IlluminanceUnit: lx

Note: Value can be positive or negative.

Formulas to find Illumination Intensity

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Luminance

Go Inverse Square Law

L v = \frac{I t}{d^{2}}

Other formulas in Methods of Lighting category

Go Specific Consumption

S.C. = \frac{2 \cdot P in}{CP}

Go Utilization Factor of Electrical Energy

UF = \frac{L r}{L e}

Go Luminous Intensity

I v = \frac{Lm}{ω}

Go Beer-Lambert Law

I t = I o \cdot \exp (- β \cdot c \cdot x)

How to Evaluate Luminance for Lambertian Surfaces?

Luminance for Lambertian Surfaces evaluator uses Luminance = Illumination Intensity/pi to evaluate 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 evaluate Luminance for Lambertian Surfaces using this online evaluator? To use this online evaluator for Luminance for Lambertian Surfaces, enter Illumination Intensity (E_v) and hit the calculate button.

FAQs on Luminance for Lambertian Surfaces

What is the formula to find Luminance for Lambertian Surfaces?

The formula of Luminance for Lambertian Surfaces is expressed as Luminance = Illumination Intensity/pi. Here is an example- 0.324676 = 1.02/pi.

How to calculate Luminance for Lambertian Surfaces?

With Illumination Intensity (E_v) we can find Luminance for Lambertian Surfaces using the formula - Luminance = Illumination Intensity/pi. This formula also uses Archimedes' constant .

What are the other ways to Calculate Luminance?

Here are the different ways to Calculate Luminance-

Luminance=Intensity of Transmitted Light/Distance^2

Can the Luminance for Lambertian Surfaces be negative?

Yes, the Luminance for Lambertian Surfaces, measured in Illuminance can be negative.

Which unit is used to measure Luminance for Lambertian Surfaces?

Luminance for Lambertian Surfaces is usually measured using the Candela Steradian per Sq Meter[cd*sr/m²] for Illuminance. Lux[cd*sr/m²] are the few other units in which Luminance for Lambertian Surfaces can be measured.

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