Diffraction from a wavelet point of view
Author(s)
Date
1993-06-01Source Title
Optics Letters
Print ISSN
0146-9592
Publisher
Optical Society of America
Volume
18
Issue
11
Pages
846 - 848
Language
English
Type
ArticleItem Usage Stats
187
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views
210
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downloads
Abstract
The system impulse response representing the Fresnel diffraction is shown to form a wavelet family of functions.
The scale parameter of the wavelet family represents the depth (distance). This observation relates the
diffraction-holography-related studies and the wavelet theory. The results may be used in various optical
applications such as designing robust volume optical elements for optical signal processing and finding new
formulations for optical inverse problems. The results also extend the wavelet concept to the nonbandpass family
of functions with the implication of new applications in signal processing. The presented wavelet structure, for
example, is a tool for space-depth analysis.
Keywords
DiffractionFourier transforms
Signal processing
Fresnel diffraction
Space-depth analysis
Wavelet concept
Wavelet family of functions
Diffraction