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      Evaluation of the validity of the scalar approximation in optical wave propagation using a systems approach and an accurate digital electromagnetic model

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      Author(s)
      Kulce, O.
      Onural, L.
      Özaktaş, Haldun M.
      Date
      2016
      Source Title
      Journal of Modern Optics
      Print ISSN
      0950-0340
      Publisher
      Taylor and Francis Ltd.
      Volume
      63
      Issue
      21
      Pages
      2382 - 2391
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      The cause and amount of error arising from the use of the scalar approximation in monochromatic optical wave propagation are discussed using a signals and systems formulation. Based on Gauss’s Law, the longitudinal component of an electric field is computed from the transverse components by passing the latter through a two input single output linear shift-invariant system. The system is analytically characterized both in the space and frequency domains. For propagating waves, the large response for the frequencies near the limiting wave number indicates the small angle requirement for the validity of the scalar approximation. Also, a discrete simulator is developed to compute the longitudinal component from the transverse components for monochromatic propagating electric fields. The simulator output helps to evaluate the validity of the scalar approximation when the system output cannot be analytically calculated. © 2016 Informa UK Limited, trading as Taylor & Francis Group.
      Keywords
      Computation of the longitudinal component
      Digital simulator
      Electromagnetic wave propagation
      Error in the scalar optics approximation
      Fourier optics
      Signals and systems model
      Permalink
      http://hdl.handle.net/11693/36622
      Published Version (Please cite this version)
      http://dx.doi.org/10.1080/09500340.2016.1204473
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      • Department of Electrical and Electronics Engineering 4011
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