• Title/Summary/Keyword: Deformed Integration Path

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A Study on the Optimum Integration Path for the Analytic Evaluation of the Sommerfeld Integrals (Sommerfeld 적분의 해석적 계산을 위한 최적 적분경로에 관한 연구)

  • Lee, Y.S.;Kim, U.J.;Ko, J.W.;Cho, Y.K.
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2003.11a
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    • pp.64-68
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    • 2003
  • For the purpose of the efficient derivation of the closed-form Green's functions by which MoM matrix elements can be analytically evaluated, the optimum approximation path which is deformed from the Sommerfeld integration path on the complex $k_{\rho}$-plane is proposed based upon the steepest descent method and three level approximation procedure.

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An Optimum Choice of Approximation Path for Derivation of New Class of Closed-Form Green's Functions (새로운 형태의 Closed-Form 그린함수의 유도를 위한 근사 경로의 최적선택)

  • Lee Young-Soon;Kim Eui-Jung
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.16 no.4 s.95
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    • pp.418-426
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    • 2005
  • Based upon three level approximation and the steepest descent path(SDP) method, we consider an optimum choice of approximation path for derivation of new class of closed-flrm Green's functions which can lead to the analytic evaluation of MoM(Method of Moment) matrix elements. It is observed that the present method can give more accurate evaluation of the spatial Green's functions than the previous method, even without the advance investigation of the spectral functions, over a wide frequency range. In order to check the validity of the present method, some numerical results are presented.