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      On the evaluation of spatial domain MoM matrix entries containing closed form Green's functions

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      Author(s)
      Kinayman, Noyan,
      Mittra, R.
      Aksun, M. I.
      Date
      1997-07
      Source Title
      IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
      Publisher
      IEEE
      Pages
      2346 - 2349
      Language
      English
      Type
      Conference Paper
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      Abstract
      The method of moments (MoM) is widely-used for the solution of mixed potential integral equations (MPIE) arising in the analysis of planar stratified geometries. However, the application of this technique in the spatial domain poses some difficulties since the associated spatial-domain Green's functions for these geometries are improper oscillatory integrals, known as Sommerfeld integrals, that are very computationally-intensive to evaluate. It is possible to eliminate the time-consuming task of computing these integrals by using closed form versions of the spatial domain Green's functions and the time required to evaluate the reaction integrals in the MoM matrix can be reduced considerably. Furthermore, the reaction integrals resulting from the application of the MoM can also be evaluated analytically by using piecewise linear basis and testing functions (Alatan et al., 1996). Hence, an efficient EM simulation algorithm can be developed by using the closed form Green's functions in the MoM formulation that involves no numerical integration. However, despite the time-saving realized from the analytical evaluation of the reaction integrals with the closed-form Green's functions, the need for further reducing the matrix fill-time is not obviated for many problems. Thus the objective of this paper is to present a hybrid technique for the evaluation of the MoM reaction integrals in a numerically-efficient manner that further reduces the time needed for their computation. A microstrip patch antenna is used as an example.
      Keywords
      Electric impedance
      Estimation
      Green's function
      Integral equations
      Matrix algebra
      Vectors
      Mixed potential integral equations (MPIE)
      Microstrip antennas
      Permalink
      http://hdl.handle.net/11693/27714
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      • Department of Computer Engineering 1435
      • Department of Electrical and Electronics Engineering 3702
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