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      • Department of Electrical and Electronics Engineering
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      Fractional Fourier transform as a tool for analyzing beam propagation and spherical mirror resonators

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      Author(s)
      Özaktaş, Haldun M.
      Mendlovic, D.
      Date
      1994
      Source Title
      Optics Letters
      Print ISSN
      0146-9592
      Publisher
      Optical Society of America
      Volume
      19
      Issue
      21
      Pages
      1678 - 1680
      Language
      English
      Type
      Article
      Item Usage Stats
      210
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      Abstract
      The complex amplitude distributions on two spherical reference surfaces of given curvature and spacing are simply related by a fractional Fourier transform. The order of the fractional Fourier transform is proportional to the Gouy phase shift between the two surfaces. This result provides new insight into wave propagation and spherical mirror resonators as well as the possibility of exploiting the fractional Fourier transform as a mathematical tool in analyzing such systems.
      Keywords
      Eigenvalues
      Fourier transforms
      Mirrors
      Phase shift
      Resonators
      Surfaces
      Complex amplitude distribution
      Fractional fourier transforms
      Fraunhofer diffraction
      Hermite gaussian functions
      Spherical mirror resonators
      Light propagation
      Eigenfunctions
      Permalink
      http://hdl.handle.net/11693/13642
      Published Version (Please cite this version)
      http://dx.doi.org/10.1364/OL.19.001678
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      • Department of Electrical and Electronics Engineering 4012
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