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      • Department of Electrical and Electronics Engineering
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      Degrees of freedom of optical systems and signals with applications to sampling and system simulation

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      Author
      Oktem F.S.
      Özaktaş, Haldun M.
      Date
      2013
      Source Title
      Imaging and Applied Optics
      Publisher
      Optical Society of America
      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.
      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/11693/28026
      Published Version (Please cite this version)
      https://doi.org/10.1364/ISA.2013.ITu1E.1
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      • Department of Electrical and Electronics Engineering 3608
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