Undergrad Encircled energy for different aperture shapes (circle, triangle, square)

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SUMMARY

The discussion centers on the impact of different aperture shapes—circle, triangle, and square—on encircled energy after diffraction, specifically for apertures measuring 300um in diameter. Participants agree that while the area of the aperture is crucial for energy transmission, the shape influences the diffraction pattern and consequently the center of gravity (COG) of the resulting spots on a camera sensor. The mathematics of Fresnel diffraction is suggested as a complex but relevant framework for understanding these variations, particularly in applications like planet-finder telescopes that utilize diverse aperture shapes to enhance resolution.

PREREQUISITES
  • Understanding of Fresnel diffraction principles
  • Knowledge of optical aperture shapes and their characteristics
  • Familiarity with center of gravity (COG) calculations in optics
  • Experience with camera sensor behavior in optical systems
NEXT STEPS
  • Study the mathematics of Fresnel diffraction in detail
  • Research the effects of aperture shape on diffraction patterns
  • Explore case studies of planet-finder telescopes and their aperture designs
  • Investigate methods for measuring COG in optical systems
USEFUL FOR

Optical engineers, physicists, and researchers in the field of optics who are interested in the effects of aperture shapes on diffraction and energy distribution.

Gifty01
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TL;DR
Encircled energy
Hi all, I have a system whereby, there are different aperture shapes which are: circle, triangle, square e.t.c. this apertures are all 300um in diameter. I will like to know if the encircled energy calculated for the different apertures after diffraction will be different due to different diffraction pattern. Thanks in advance.
 
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I think not shapes but area of aperture matters for amount of energy going through.
 
I measured the center of gravity (COG) of the different spot position at different distances on the camera sensor after diffraction. but I noticed different behaviour of the COG calculated for the spots. they behaved differently at the edges.
 
IIRC, one of the planet-finder telescopes used different aperture shapes to get variations in diffraction patterns that resolved 'below limit' separations...
 

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