Every Fourier optical system is equivalent to consecutive fractional-Fourier-domain filtering
Date
1996-06-10Source Title
Applied Optics
Print ISSN
1559-128X
Electronic ISSN
2155-3165
Publisher
Optical Society of America
Volume
35
Issue
17
Pages
3167 - 3170
Language
English
Type
ArticleItem Usage Stats
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Abstract
We consider optical systems composed of an arbitrary number of lenses and filters, separated by arbitrary distances, under the standard approximations of Fourier optics. We show that every such system is equivalent to (i) consecutive filtering operations in several fractional Fourier domains and (ii) consecutive filtering operations alternately in the space and the frequency domains.