Just as temporal frequency represents cycles per second (Hz) in signals, spatial frequency represents cycles per millimeter in an image.
Covers how light propagates through free space. Problems here often require calculating diffraction patterns of apertures (slits, rectangular, circular).
. If a problem mentions a "far-field" pattern, jump straight to the FT. 3. Computational Fourier Optics (Chapter 5) Just as temporal frequency represents cycles per second
Fg(x,y)=Fg1(x)⋅Fg2(y)script cap F the set g of open paren x comma y close paren end-set equals script cap F the set g sub 1 of x end-set center dot script cap F the set g sub 2 of y end-set
): Models lenses and circular apertures. Transforms into a Besinc (Jinc) function involving first-order Bessel functions. Comb Function ( Computational Fourier Optics (Chapter 5) Fg(x
Problems here focus on linearity, space-invariance, and coordinate transformations.
If you are currently stuck on a specific problem from the textbook, let me know: Which and problem number are you working on? What specific formula or step is causing the bottleneck? and coordinate transformations.
Mastering Fourier Optics: A Guide to Third Edition Problem Solutions
Characterized by the Optical Transfer Function (OTF) and Modulation Transfer Function (MTF).
Convert physical apertures into mathematical functions (Rect, Circ, Gaus).
4. Wavefront Reconstruction and Spatial Filtering (Chapter 7 & 8)