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Analysis of cutoff wavelength of elliptical waveguide by regularized meshless method
Author(s) -
Song Rencheng,
Chen Xudong
Publication year - 2012
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.843
Subject(s) - cutoff , discretization , cutoff frequency , wavelength , eccentricity (behavior) , waveguide , interpolation (computer graphics) , boundary value problem , mathematics , mathematical analysis , physics , optics , algorithm , classical mechanics , quantum mechanics , motion (physics) , political science , law
SUMMARY In this paper, the regularized meshless method (RMM) combined with the determinant rule is taken to analyze the cutoff wavelength of elliptical waveguide with arbitrary eccentricity. First, an improved desingularization technique of subtracting and adding back is introduced for RMM to discretize this problem. Then, the novel local minimum finding technique on the basis of Chebfun is applied to extract the cutoff wavelength from the determinant of the interpolation matrix of RMM. The numerical examples show that the RMM obtains consistent results with the conventional method of fundamental solutions but has advantage of well‐conditioning and no fictitious boundary. Our method provides another highly effective and stable candidate to solve the cutoff wavelength of elliptical waveguide. Copyright © 2012 John Wiley & Sons, Ltd.