Degrees of freedom of optical systems and signals with applications to sampling and system simulation
Özaktaş, Haldun M.
Imaging and Applied Optics
Optical Society of America
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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.
KeywordsDegrees of freedom (mechanics)
Phase space methods
First-order optical systems
Linear canonical transform
Published Version (Please cite this version)https://doi.org/10.1364/ISA.2013.ITu1E.1
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