Introduction To Fourier Optics Third Edition Problem Solutions May 2026

Find the transfer function of the system.

The point spread function of the system is given by:

Here, we provide solutions to selected problems from the third edition of "Introduction to Fourier Optics". Find the transfer function of the system

H(u) = ∫∞ -∞ h(x) exp(-i2πux) dx = ∫∞ -∞ sinc(x) exp(-i2πux) dx = rect(u)

Find the point spread function of the system. Find the transfer function of the system

PSF(x) = |h(x)|^2 = |∫∞ -∞ P(u) exp(i2πux) du|^2 = |∫∞ -∞ circ(u) exp(i2πux) du|^2 = (2J1(2πx))/(2πx))^2

h(x) = sinc(x)

A coherent imaging system has a pupil function given by: