Title :
Fast Numerical Computation of Green´s Functions for Unbounded Planar Stratified Media With a Finite-Difference Technique and Gaussian Spectral Rules
Author :
Polimeridis, Athanasios G. ; Yioultsis, Traianos V. ; Tsiboukis, Theodoros D.
Author_Institution :
Dept. of Electr. & Comput. Eng., Aristotle Univ. of Thessaloniki
Abstract :
A computational methodology for the calculation of Green´s functions for unbounded planar stratified media is proposed in this paper. Unlike several techniques that are based on analytical calculations in the spectral domain, this one is based on a previously proposed finite-difference discretization of the corresponding one-dimensional differential equation and the resulting spectral matrix problem. A smart approximation of the radiation boundary condition, based on the mathematical methodology of Gaussian spectral rules and the associated construction of an optimal nonuniform grid in the unbounded space, succeeds in maintaining the tridiagonal nature of the matrix spectral problem, providing a highly efficient means of computing the desired multilayer Green´s function
Keywords :
Green´s function methods; electromagnetic wave propagation; finite difference methods; 1D differential equation; Gaussian spectral rules; Greens functions; finite-difference discretization; finite-difference technique; optimal nonuniform grid; radiation boundary condition; spectral matrix problem; unbounded planar stratified media; unbounded space; Boundary conditions; Circuit analysis computing; Differential equations; Finite difference methods; Green´s function methods; Grid computing; Magnetic analysis; Microwave theory and techniques; Nonhomogeneous media; Transmission line matrix methods; Finite-difference technique; Gaussian spectral rules; Green´s functions; stratified media;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2006.886919
