Fourier Series and Optical Transform Techniques in Contemporary Optics

Fourier Series and Optical Transform Techniques in ContemporaryOptics

An Introduction

For anyone new to Fourier methods, this remarkable book willilluminate the subject like no other currently available. With over280 illustrations generated by computer graphics, it depicts in3-space (rather than the usual 2-space) the many basic functions ofoptical diffraction and imaging. These mind-stretchingvisualizations give the reader an enhanced understanding of bothFourier transform techniques and key principles in optics. At thesame time, the author provides a lucid text that covers wavenotation, the Fourier analysis of signals, the processing of lightin diffraction phenomena and imaging, Zernicke polynomials, Fouriertransforms for Fresnel diffraction, laser beacon adaptive optics,and related topics.

Ideal for self-teaching, this book is highly recommended forworking engineers, technical staff, students of physical optics andsignal analysis, and Fourier novices in all fields. Partial table of contents:

Some of the How and Why of Fourier Analysis.

Fourier Series and Spectra in One-Dimension for Functions of FinitePeriod.

Fourier Series and Spectra for Functions of Infinite Period;
One Dimensional.

Fourier Spectra for Non-Periodic Functions;
One-Dimensional.

The Diffraction of Light and Fourier Transforms in TwoDimensions.

A Brief Summary of Linear Systems Theory Applied to OpticalImaging.

Fourier Optical Transformations by Computer.

Apodization and Super-Resolution, Phase from Shift, and MultipleApertures.

Complex Apertures.

Operations in the Fourier Transform Plane.

Other Interesting and Related Topics.

References.

A Selected Bibliography.

Index. RAYMOND G. WILSON is Associate Professor of Physics at Illinois Wesleyan University. He received his PhD from the Optical Sciences Center of the University of Arizona where his research involved the ionic polishing of fused silica. Fourier Series and Optical Transform Techniques in Contemporary Optics

An Introduction

For anyone new to Fourier methods, this remarkable book will illuminate the subject like no other currently available. With over 280 illustrations generated by computer graphics, it depicts in 3-space (rather than the usual 2-space) the many basic functions of optical diffraction and imaging. These mind-stretching visualizations give the reader an enhanced understanding of both Fourier transform techniques and key principles in optics. At the same time, the author provides a lucid text that covers wave notation, the Fourier analysis of signals, the processing of light in diffraction phenomena and imaging, Zernicke polynomials, Fourier transforms for Fresnel diffraction, laser beacon adaptive optics, and related topics.

Ideal for self-teaching, this book is highly recommended for working engineers, technical staff, students of physical optics and signal analysis, and Fourier novices in all fields.