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      Derivation of Closed-Form Green’s Functions for a General Microstrip Geometry

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      Author(s)
      Aksun, M.I.
      Mittra, R.
      Date
      1992
      Source Title
      IEEE Transactions on Microwave Theory and Techniques
      Print ISSN
      189480
      Volume
      40
      Issue
      11
      Pages
      2055 - 2062
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      The derivation of the closed-form spatial domain Green’s functions for the vector and scalar potentials is presented for a microstrip geometry with a substrate and a super-state, whose thicknesses can be arbitrary. The spatial domain Green’s functions for printed circuits are typically expressed as Sommerfeld integrals, that are inverse Hankel transform of the corresponding spectral domain Green’s functions, and are quite time-consuming to evaluate. Closed-form representations of these Green’s functions in the spatial domains can only be obtained if the integrands are approximated by a linear combination of functions that are analytically integrable. In this paper, we show we can accomplish this by approximating the spectral domain Green’s functions in terms of complex exponentials by using the least square Prony’s method. © 1992 IEEE
      Keywords
      Boundary value problems
      Integral equations
      Mathematical transformations
      Printed circuits
      Spectrum analysis
      Closed-form Green's functions
      Hankel transforms
      Sommerfeld integrals
      Microstrip devices
      Permalink
      http://hdl.handle.net/11693/26156
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/22.168763
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      • Department of Electrical and Electronics Engineering 4011
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