Gout(fX,fY)=Gin(fX,fY)â‹…H(fX,fY)cap G sub out end-sub open paren f sub cap X comma f sub cap Y close paren equals cap G sub in end-sub open paren f sub cap X comma f sub cap Y close paren center dot cap H open paren f sub cap X comma f sub cap Y close paren acts as the Optical Transfer Function (OTF). 2. Step-by-Step Problem Solving Methodologies
A lens Fourier-transforms amplitude function f(x,y) in the front focal plane to amplitude function F(u,v) in the back focal plane. SPIE Digital Library introduction to fourier optics goodman solutions work
Problems in this domain require determining how well a system images an object under different lighting conditions: SPIE Digital Library Problems in this domain require
approximations. The work involves determining when it is mathematically "safe" to simplify a complex wave integral based on the distance from an aperture. Frequency Analysis of Imaging Systems : Goodman introduces the Optical Transfer Function (OTF) Modulation Transfer Function (MTF) v) in the back focal plane.
To understand "how the solutions work," let us look at three classic problem archetypes from the book (specifically Chapters 4-6).