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

[Gifty01]

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.

 

[anuttarasammyak]

I think not shapes but area of aperture matters for amount of energy going through.

 

[Gifty01]

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.

 

[anuttarasammyak]

Mathematics of Fresnel diffraction,
https://en.wikipedia.org/wiki/Fresnel_diffraction
could be helpful though it seems much complicated to apply for various figures.

 

[Nik_2213]

IIRC, one of the planet-finder telescopes used different aperture shapes to get variations in diffraction patterns that resolved 'below limit' separations...