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On the application of symmetry conditions and the convergence rate of modal series in the MOM‐based integral equation analysis of laterally shielded multilayered media
Author(s) -
Golestanirad Laleh,
Mattes Michael,
Mosig Juan R.
Publication year - 2010
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.24868
Subject(s) - method of moments (probability theory) , shielded cable , symmetry (geometry) , integral equation , microwave , convergence (economics) , series (stratigraphy) , coaxial cable , matrix (chemical analysis) , electronic engineering , rate of convergence , mathematical analysis , computer science , engineering , mathematics , electrical engineering , telecommunications , geometry , materials science , paleontology , statistics , channel (broadcasting) , estimator , cable gland , economics , biology , economic growth , composite material
Integral equation (IE) formulations solved by the Method of Moments (MoM) have been used successfully to address a vast variety of electromagnetic problems. Printed circuits embedded partially or totally in laterally bounded multilayered media such as microwave filters or planar antennas and their associated distribution networks are most efficiently treated by this technique. In the case that the structure as well as the excitation hold some symmetry requirements, simplifications may be applied on the problem leading to a considerable improvement in the reduction of computational time and the usage of resources. In this article, we have developed formulations providing theoretical background for applying different types of symmetry conditions in the framework of the MoM‐based IE technique applied to printed circuits embedded in shielded multilayered media fed by coaxial lines. Additionally, a comprehensive convergence study has been performed to analyze the effect of mesh resolution and different aspect‐ratios of the rectangular shield on the convergence rate of modal series representing the elements of the MoM matrix. Benefits of applying symmetry simplifications have been pointed out as well. © 2009 Wiley Periodicals, Inc. Microwave Opt Technol Lett 52: 221–226, 2010; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24868