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

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Discussion Overview

The discussion revolves around the effects of different aperture shapes (circle, triangle, square) on encircled energy after diffraction, with a focus on how these shapes influence diffraction patterns and energy distribution. The scope includes theoretical considerations and experimental observations related to optics and diffraction phenomena.

Discussion Character

  • Exploratory
  • Technical explanation
  • Experimental/applied

Main Points Raised

  • One participant inquires whether the encircled energy for different aperture shapes will vary due to differing diffraction patterns.
  • Another participant suggests that the area of the aperture, rather than its shape, is the critical factor affecting the amount of energy transmitted.
  • A participant shares observations of the center of gravity (COG) of diffraction spots on a camera sensor, noting that the COG behaves differently at the edges for different shapes.
  • A reference to the mathematics of Fresnel diffraction is provided, with a note that applying it to various shapes may be complex.
  • Another participant recalls that a planet-finder telescope utilized different aperture shapes to achieve variations in diffraction patterns, which allowed for resolving separations below conventional limits.

Areas of Agreement / Disagreement

Participants express differing views on whether the shape or the area of the aperture is more significant in determining encircled energy. Observations regarding the behavior of COG also indicate variability, suggesting that the discussion remains unresolved.

Contextual Notes

The discussion includes assumptions about the relationship between aperture shape and diffraction patterns, as well as potential complexities in applying mathematical models to different geometries. Specific mathematical steps or definitions are not fully explored.

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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