- #1

Skaiserollz89

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- TL;DR Summary
- I am attempting to model a 4f system in matlab. However, before I do I want to ensure I am understanding the fourier optics involved in doing so.

In my system I am trying to represent two lenses. L1 with focal length f1=910mm and the other lens, L2 with focal length f2=40mm. These lenses are space such that there is a distance of f1+f2 between the lenses. I have a unit amplitude plane wave incident on L1. My goal is to find the resulting irradiance pattern after passage through both lenses.

I think I only need to perform a couple fourier transforms. For L1, I will use the Fraunhofer diffraction integral on the incoming field u_in(x,y) with z=f1. This results in the transform field U_in(fx,fy) at f1. From here I'm not sure what to do. For lens L2 do I need to do an inverse version of the Fraunhofer diffraction integral to get out of frequency space while simultaneously accounting for the focal length of the 2nd lens f2? Any advice would be much appreciated!

I think I only need to perform a couple fourier transforms. For L1, I will use the Fraunhofer diffraction integral on the incoming field u_in(x,y) with z=f1. This results in the transform field U_in(fx,fy) at f1. From here I'm not sure what to do. For lens L2 do I need to do an inverse version of the Fraunhofer diffraction integral to get out of frequency space while simultaneously accounting for the focal length of the 2nd lens f2? Any advice would be much appreciated!