Fractional Fourier transform as a tool for analyzing beam propagation and spherical mirror resonators
Date
1994
Authors
Advisor
Instructor
Source Title
Optics Letters
Print ISSN
0146-9592
Electronic ISSN
Publisher
Optical Society of America
Volume
19
Issue
21
Pages
1678 - 1680
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Abstract
The complex amplitude distributions on two spherical reference surfaces of given curvature and spacing are simply related by a fractional Fourier transform. The order of the fractional Fourier transform is proportional to the Gouy phase shift between the two surfaces. This result provides new insight into wave propagation and spherical mirror resonators as well as the possibility of exploiting the fractional Fourier transform as a mathematical tool in analyzing such systems.
Course
Other identifiers
Book Title
Keywords
Eigenvalues, Fourier transforms, Mirrors, Phase shift, Resonators, Surfaces, Complex amplitude distribution, Fractional fourier transforms, Fraunhofer diffraction, Hermite gaussian functions, Spherical mirror resonators, Light propagation, Eigenfunctions