Degrees of freedom of optical systems and signals with applications to sampling and system simulation
Author
Oktem F.S.
Özaktaş, Haldun M.
Date
2013Source Title
Imaging and Applied Optics
Publisher
Optical Society of America
Language
English
Type
Conference PaperItem Usage Stats
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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.
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
Permalink
http://hdl.handle.net/11693/28026Published Version (Please cite this version)
https://doi.org/10.1364/ISA.2013.ITu1E.1Collections
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