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

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Different aperture shapes, including circles, triangles, and squares, all measuring 300um in diameter, may produce varying encircled energy due to their distinct diffraction patterns. The area of the aperture is considered significant for the amount of energy transmitted, but the center of gravity (COG) of the diffraction spots shows different behaviors at the edges for each shape. The mathematics of Fresnel diffraction could provide insights, although applying it to various figures may be complex. Additionally, some telescopes have utilized different aperture shapes to achieve unique diffraction patterns that enhance resolution. Understanding these differences is crucial for optimizing optical systems.
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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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