Enter the quantity of light emitted (lumens) and the light intensity (lumen/m^2) into the Optical Distance Calculator. The calculator will evaluate and display the Optical Distance. 

Optical Distance Formula

The following formula is used to calculate the Optical Distance. 

D = SQRT (Q / E)

  • Where D is the Optical Distance (m)
  • Q is the quantity of light emitted (lumens) 
  • E is the light intensity (lumen/m^2) 

How to Calculate Optical Distance?

The following example problems outline how to calculate Optical Distance.

Example Problem #1:

  1. First, determine the quantity of light emitted (lumens). 
    • The quantity of light emitted (lumens) is given as: 50.
  2. Next, determine the light intensity (lumen/m^2). 
    • The light intensity (lumen/m^2) is provided as: 20.
  3. Finally, calculate the Optical Distance using the equation above: 

D = SQRT (Q / E)

The values given above are inserted into the equation below and the solution is calculated:

D = SQRT (50 / 20) = 1.581 (m)


Example Problem #2: 

For this problem, the variables needed are provided below:

quantity of light emitted (lumens) = 70

light intensity (lumen/m^2) = 50

This example problem is a test of your knowledge on the subject. Use the calculator above to check your answer. 

D = SQRT (Q / E) = ?