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A hybrid fast converging series expansion for the 2D Green's function of a multilayered medium
Author(s) -
Rogier Hendrik
Publication year - 2005
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.20747
Subject(s) - floquet theory , formalism (music) , modal , series (stratigraphy) , microwave , series expansion , slab , convergence (economics) , rate of convergence , mathematical analysis , mathematics , physics , materials science , telecommunications , engineering , quantum mechanics , nonlinear system , art , musical , paleontology , channel (broadcasting) , geophysics , polymer chemistry , economics , visual arts , biology , economic growth
A new formalism combining modal expansions based on perfectly matched layers (PMLs) and on Floquet modes is proposed to derive a fast‐converging series expansion for the 2D Green's function of layered media. The PML‐based modal expansion is obtained by terminating the waveguide, formed by the layered medium, with PMLs. The convergence of this series is improved by adding an expansion of Floquet modes corresponding to an auxiliary periodic problem. The period of this auxiliary problem acts as a parameter, the convergence rate of both series allowing to be controlled. The formalism is applied to a dielectric‐slab waveguide to illustrate the improved convergence and the efficiency of the new approach. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 45: 130–134, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20747