Enter the optical power that propagates away from the grating and the optical power incident on the grating into the calculator to determine the Diffraction Efficiency. 

Diffraction Efficiency Formula

The following formula is used to calculate the Diffraction Efficiency. 

Ediff = Pm / Pinc *100
  • Where Ediff is the Diffraction Efficiency (%)
  • Pm is the optical power that propagates away from grating 
  • Pinc is the optical power incident on the grating 

To calculate the diffraction efficiency, divide the optical power that propagates away from the grating by the incident power on the grating, then multiply by 100.

How to Calculate Diffraction Efficiency?

The following two example problems outline how to calculate the Diffraction Efficiency.

Example Problem #1:

  1. First, determine the optical power that propagates away from grating. In this example, the optical power that propagates away from grating is given as 50.
  2. Next, determine the optical power incident on the grating. For this problem, the optical power incident on the grating is given as 70.
  3. Finally, calculate the Diffraction Efficiency using the equation above: 

Ediff = Pm / Pinc *100

Inserting the values from above and solving the equation: 

Ediff =50 / 70 *100 = 71.14 (%)


FAQ

What is Diffraction Efficiency?

Diffraction Efficiency refers to the percentage of optical power that is diffracted by a grating compared to the total incident optical power on the grating. It is a measure of how effectively a grating can diffract light.

Why is calculating Diffraction Efficiency important?

Calculating Diffraction Efficiency is crucial in the design and analysis of optical systems, such as lasers and spectrometers, where the efficiency of light diffraction can significantly impact the system’s performance.

Can Diffraction Efficiency exceed 100%?

No, Diffraction Efficiency cannot exceed 100%. A value of 100% would imply that all the incident optical power is diffracted by the grating, which is the maximum possible efficiency. Values above 100% are not physically meaningful in this context.