A Novel Implementation of Discrete Complex Image Method for Layered Medium Green's Function

A novel implementation of discrete complex image method (DCIM) based on the Sommmerfeld branch cut is pro posed to accurately capture the far-field behavior of the layered medium Green's function as a complement to the traditional DCIM. By contour deformation, the Green's function can be naturally decomposed into branch-cut integration (radiation modes) and pole contributions (guided modes). For branch-cut integration, matrix pencil method is applied, and the alternative Sommerfeld identity in terms of kz integration is utilized to get a closed-form solution. The guided modes are accounted for with a pole-searching algorithm. Both one-branch-cut and two-branch-cut cases are studied. Several numerical results are presented to validate this method.

[1]  A. Cangellaris,et al.  Novel closed-form Green's function in shielded planar layered media , 2000 .

[2]  M. I. Aksun,et al.  Discrete Complex Image Method With Spatial Error Criterion , 2011, IEEE Transactions on Microwave Theory and Techniques.

[3]  T. Sarkar,et al.  Using the matrix pencil method to estimate the parameters of a sum of complex exponentials , 1995 .

[4]  K. Michalski,et al.  Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media. I. Theory , 1990 .

[5]  Weng Cho Chew,et al.  Fast inhomogeneous plane wave algorithm for electromagnetic solutions in layered medium structures: Two‐dimensional case , 2000 .

[6]  Mengtao Yuan,et al.  A direct discrete complex image method from the closed-form Green's functions in multilayered media , 2006, IEEE Transactions on Microwave Theory and Techniques.

[7]  W. Chew.  Waves and Fields in Inhomogeneous Media , 1990 .

[8]  M. I. Aksun,et al.  Closed-Form Green's Functions in Planar Layered Media for All Ranges and Materials , 2010, IEEE Transactions on Microwave Theory and Techniques.

[9]  Jian-Ming Jin,et al.  Discrete complex image method for Green's functions of general multilayer media , 2000 .

[10]  G. Y. Delisle,et al.  Discrete image theory for horizontal electric dipoles in a multilayered medium , 1988 .

[11]  M. I. Aksun.  A robust approach for the derivation of closed-form Green's functions , 1996 .

[12]  W. Chew,et al.  A Matrix-Friendly Formulation of Layered Medium Green's Function , 2006, IEEE Antennas and Wireless Propagation Letters.

[13]  T. Tsiboukis,et al.  A Robust Method for the Computation of Green's Functions in Stratified Media , 2007, IEEE Transactions on Antennas and Propagation.

[14]  R. Boix,et al.  Closed-Form Expressions of Multilayered Planar Green's Functions That Account for the Continuous Spectrum in the Far Field , 2008, IEEE Transactions on Microwave Theory and Techniques.