A Newly Developed Formulation Suitable for Matrix Manipulation of Layered Medium Green's Functions

Based on a recently developed formulation of the dyadic Green's function for layered media (DGLM), this work gives the matrix element representation of the DGLM for general RWG basis functions, including basis functions straddling across different layers and half-RWG basis function attached to an infinite ground plane. It has been rigorously proved that this representation is absent of any undesired line integrals, the same as the popular Michalski-Zheng's formulation of type C. This work also gives the analytical solution for some typical cylindrically symmetric problems, which can be used to validate any formulation for layered medium problems.

[1]  D. Wilton,et al.  Electromagnetic scattering by surfaces of arbitrary shape , 1980 .

[2]  Weng Cho Chew,et al.  Propagation of electromagnetic waves through geological beds in a geophysical probing environment , 1985 .

[3]  Qing Huo Liu,et al.  Singularity subtraction for evaluation of Green's functions for multilayer media , 2006, IEEE Transactions on Microwave Theory and Techniques.

[4]  J. A. Kong,et al.  Electromagnetic fields due to dipole antennas over stratified anisotropic media. , 1972 .

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

[6]  K. Michalski,et al.  Multilayered media Green's functions in integral equation formulations , 1997 .

[7]  Y. Chow,et al.  Spectral Green's functions for multilayer media in a convenient computational form , 1998 .

[8]  N. Fache,et al.  Mixed potential integral equation technique for hybrid microstrip-slotline multilayered circuits using a mixed rectangular-triangular mesh , 1995 .

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

[10]  J. R. Mosig,et al.  Full-wave analysis of antennas containing horizontal and vertical metallizations embedded in planar multilayered media , 2003 .

[11]  W. Chew,et al.  Response of a point source embedded in a layered medium , 2003 .

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

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

[14]  J. Mosig,et al.  Analysis of stacked microstrip patches with a mixed potential integral equation , 1990 .

[15]  Guy A. E. Vandenbosch,et al.  Mixed-potential integral expression formulation of the electric field in a stratified dielectric medium-application to the case of a probe current source , 1992 .

[16]  Krzysztof A. Michalski The mixed-potential electric field integral equation for objects in layered media , 1985 .

[17]  Radiation by arbitrary sources in anisotropic stratified media , 1973 .

[18]  Ahmed A. Kishk,et al.  Application of a new MPIE formulation to the analysis of a dielectric resonator embedded in a multilayered medium coupled to a microstrip circuit , 2001 .

[19]  A. Dreher A new approach to dyadic Green's function in spectral domain , 1995 .

[20]  Weng Cho Chew,et al.  The layered medium Green's function—A new look , 2001 .

[21]  A. Sommerfeld Über die Ausbreitung der Wellen in der drahtlosen Telegraphie , 1909 .

[22]  Krzysztof A. Michalski,et al.  Extrapolation methods for Sommerfeld integral tails , 1998 .

[23]  M. I. Aksun,et al.  Closed-form Green's functions for general sources and stratified media , 1995 .

[24]  Krzysztof A. Michalski,et al.  Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media. II. Implementation and results for contiguous half-spaces , 1990 .

[25]  J. Kong,et al.  Dyadic green’s functions for layered anisotropic medium , 1983 .

[26]  Wei Cai,et al.  Fast calculations of dyadic Green's functions for electromagnetic scattering in a multilayered medium , 2000 .

[27]  J. Kong,et al.  Theory of microwave remote sensing , 1985 .

[28]  L. Brillouin,et al.  Über die Fortpflanzung des Lichtes in dispergierenden Medien , 1914 .

[29]  S. Mahmoud,et al.  Electromagnetic fields of buried sources in stratified anisotropic media , 1979 .

[30]  Allen W. Glisson,et al.  Electromagnetic Scattering by Surface of Arbitrary Shape. , 1980 .