Degrees of freedom of optical systems and signals with applications to sampling and system simulation

Date
2013
Advisor
Instructor
Source Title
Imaging and Applied Optics
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Electronic ISSN
Publisher
Optical Society of America
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Pages
Language
English
Type
Conference Paper
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Abstract

We study the degrees of freedom of optical systems and signals based on space-frequency (phase space) analysis. At the heart of this study is the relationship of the linear canonical transform domains to the space-frequency plane. Based on this relationship, we discuss how to explicitly quantify the degrees of freedom of first-order optical systems with multiple apertures, and give conditions for lossless transfer. Moreover, we focus on the degrees of freedom of signals in relation to the space-frequency support and provide a sub-Nyquist sampling approach to represent signals with arbitrary space-frequency support. Implications for simulating optical systems are also discussed. © 2013 Optical Society of America.

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Keywords
Degrees of freedom (mechanics), Imaging systems, Mechanics, Phase space methods, Signal sampling, First-order optical systems, Linear canonical transform, Lossless, Multiple apertures, Space-frequency, Sub-Nyquist sampling, System simulations, Optical systems
Citation
Published Version (Please cite this version)