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      • Department of Electrical and Electronics Engineering
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      Relationship between the beam propagation method and linear canonical and fractional Fourier transforms

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      Author(s)
      Koç, Aykut
      Ozaktas, Haldun M.
      Date
      2022
      Source Title
      Applied Optics
      Print ISSN
      1559-128X
      Electronic ISSN
      2155-3165
      Publisher
      Optica
      Volume
      61
      Issue
      34
      Pages
      10275 - 10282
      Language
      English
      Type
      Article
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      Abstract
      The beam propagation method (BPM) can be viewed as a chain of alternating convolutions and multiplications, as filtering operations alternately in the space and frequency domains or as multiplication operations sandwiched between linear canonical or fractional Fourier transforms. These structures provide alternative models of in homogeneous media and potentially allow mathematical tools and algorithms associated with these transforms to be applied to the BPM. As an example, in the case where quadratic approximation is possible, it is shown that the BPM can be represented as a single LCT system, leading to significantly faster computation of the output field.
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      http://hdl.handle.net/11693/111560
      Published Version (Please cite this version)
      https://doi.org/10.1364/AO.472113
      Collections
      • Department of Electrical and Electronics Engineering 4011
      • National Magnetic Resonance Research Center (UMRAM) 301
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