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      Closed-form Green's functions for general sources and stratified media

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      Author(s)
      Dural, G.
      Aksun, M. I.
      Date
      1995-07
      Source Title
      IEEE Transactions on Microwave Theory and Techniques
      Print ISSN
      0018-9480
      Electronic ISSN
      1557-9670
      Publisher
      Institute of Electrical and Electronics Engineers
      Volume
      43
      Issue
      7
      Pages
      1545 - 1552
      Language
      English
      Type
      Article
      Item Usage Stats
      231
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      352
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      Abstract
      The closed-form Green's functions of the vector and scalar potentials in the spatial domain are presented for the sources of horizontal electric, magnetic, and vertical electric, magnetic dipoles embedded in general, multilayer, planar media. First, the spectral domain Green's functions in an arbitrary layer are derived analytically from the Green's functions in the source layer by using a recursive algorithm. Then, the spatial domain Green's functions are obtained by adding the contributions of the direct terms, surface waves, and complex images approximated by the Generalized Pencil of Functions Method (GPOF). In the derivations, the main emphasis is to put these closed-form representations in a suitable form for the solution of the mixed potential integral equation (MPIE) by the method of moments in a general three-dimensional geometry. The contributions of this paper are: 1) providing the complete set of closed-form Green's functions in spectral and spatial domains for general stratified media; 2) using the GPOF method, which is more robust and less noise sensitive, in the derivation of the closed-form spatial domain Green's functions; and 3) casting the closed-form Green's functions in a form to provide efficient applications of the method of moments.
      Keywords
      Green's function methods
      Magnetic domains
      Moment methods
      Magnetic multilayers
      Magnetic analysis
      Algorithm design and analysis
      Surface waves
      Integral equations
      Geometry
      Nonhomogeneous media
      Permalink
      http://hdl.handle.net/11693/10756
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/22.392913
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      • Department of Electrical and Electronics Engineering 4016
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