Find the Fourier transform of the function:

Find the point spread function of the system.

Fourier optics is a branch of optics that uses the Fourier transform to analyze and understand the behavior of light as it passes through optical systems. The third edition of "Introduction to Fourier Optics" by Joseph W. Goodman is a comprehensive textbook that provides a detailed introduction to the subject. The book covers a wide range of topics, from the basics of Fourier analysis to the application of Fourier optics in modern optical systems.

An optical system has an impulse response given by:

A coherent imaging system has a pupil function given by: