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      Phase-space window and degrees of freedom of optical systems with multiple apertures

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      Author
      Haldun M. Özaktaş
      Oktem, F. S.
      Date
      2013
      Source Title
      Journal of the Optical Society of America A: Optics and Image Science, and Vision
      Print ISSN
      1084-7529
      Publisher
      Optical Society of America.
      Volume
      30
      Issue
      4
      Pages
      682 - 690
      Language
      English
      Type
      Article
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      95
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      Abstract
      We show how to explicitly determine the space-frequency window (phase-space window) for optical systems consisting of an arbitrary sequence of lenses and apertures separated by arbitrary lengths of free space. If the space-frequency support of a signal lies completely within this window, the signal passes without information loss. When it does not, the parts that lie within the window pass and the parts that lie outside of the window are blocked, a result that is valid to a good degree of approximation for many systems of practical interest. Also, the maximum number of degrees of freedom that can pass through the system is given by the area of its space-frequency window. These intuitive results provide insight and guidance into the behavior and design of systems involving multiple apertures and can help minimize information loss.
      Keywords
      Mechanics
      Phase space methods
      Degree of approximation
      Free spaces
      Information loss
      Multiple apertures
      Number of degrees of freedom
      Phase spaces
      Signal pass
      Space-frequency
      Optical systems
      Permalink
      http://hdl.handle.net/11693/21126
      Published Version (Please cite this version)
      http://dx.doi.org/10.1364/JOSAA.30.000682
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      • Department of Electrical and Electronics Engineering 3524
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