Joseph W. Goodman's official Solutions Manual for the third edition of " Introduction to Fourier Optics
In the preface of the manual, Goodman specifically highlights several landmark problems for their exceptional value in teaching fundamental physical concepts: Joseph W
The third edition contains approximately 130 problems across 10 chapters. They fall into four major categories: A common problem asks: “Using a 2D FFT,
Beyond generic search engines, the following sources are most reliable for : The CTF, $H(f_x, f_y)$, is equal to the
The third edition includes new problems on sampled apertures and digital Fourier transforms (Chapter 9). A common problem asks: “Using a 2D FFT, compute the Fraunhofer pattern of a hexagonal aperture. Compare with the analytical Fourier transform.”
). In Fourier optics, these are typically in cycles per millimeter.
The CTF, $H(f_x, f_y)$, is equal to the pupil function mapped into frequency coordinates. $$ H(f_x, f_y) = P(\lambda d_i f_x, \lambda d_i f_y) $$ Where $d_i$ is the image distance. The cutoff frequency occurs when the argument is $\pm w/2$. $$ \lambda d_i f_cutoff = \fracw2 \implies f_cutoff = \fracw2 \lambda d_i $$