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Systematic and efficient root finder for computing the modal spectrum of planar layered waveguides
Author(s) -
RodríguezBerral Raúl,
Mesa Francisco,
Medina Francisco
Publication year - 2004
Publication title -
international journal of rf and microwave computer‐aided engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.335
H-Index - 39
eISSN - 1099-047X
pISSN - 1096-4290
DOI - 10.1002/mmce.10120
Subject(s) - planar , isotropy , waveguide , robustness (evolution) , modal , microwave , permittivity , dielectric , optics , wavenumber , mathematical analysis , mathematics , computer science , physics , materials science , telecommunications , optoelectronics , biochemistry , chemistry , computer graphics (images) , polymer chemistry , gene
An efficient and systematic strategy to find the propagation constants of real, complex, and leaky modes of covered and uncovered planar multilayered isotropic/uniaxial waveguides is presented. This strategy first builds up a pole‐free characteristic function and then makes use of a root‐searching scheme based on an integral nature method to search for its zeros. For uncovered waveguides, the branch points of the characteristic function can be removed by introducing the upper half‐space vertical wavenumber as the working variable. Examples of the efficiency, reliability, and robustness of the presented technique are given for both covered and uncovered waveguides, which sets up this technique as a very convenient CAD tool. The method is also applied to study a new and interesting problem: the evolution of the modes of a grounded dielectric waveguide when increasing the permittivity of the upper semi‐infinite medium. © 2003 Wiley Periodicals, Inc. Int J RF and Microwave CAE 14, 73–83, 2004