Simulating Fourier Optics Using Mathematica® by Joseph W Goodman

Simulating Fourier Optics Using Mathematica® by Joseph W Goodman

This book introduces the reader to many aspects of Fourier optics, using Mathematica as a simulation tool. A brief discussion of Mathematica's symbolic and numerical computation capabilities is introduced. Starting from the wave equation, several simulations of Fresnel and Fraunhofer diffraction problems are treated symbolically. Diffraction by an arbitrary linear optical system using ABCD matrices includes several symbolic examples. Recognizing that many diffraction problems cannot be solved symbolically, the discrete Fourier transform (DFT) is introduced and used to calculate many diffraction problems numerically. Three different numerical methods are used: numerical convolution, the Fresnel transform, and the Fresnel transfer function, with examples for each. Simulations of imaging with both coherent and incoherent light are covered both symbolically and numerically. Simulations of Gabor holography, Leith–Upatnieks holography, and phase-stepping holography are treated numerically. Finally, simulations of spatial filtering by manipulating the Fourier spectrum of an object are presented.

SKU	Unavailable
ISBN 13	9781510682368
ISBN 10	1510682368
Title	Simulating Fourier Optics Using Mathematica®
Author	Joseph W Goodman
Series	Press Monographs
Condition	Unavailable
Binding Type	Paperback
Publisher	SPIE Press
Year published	2024-10-21
Number of pages	110
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.