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Analysis of elliptical waveguides by the method of fundamental solutions
Author(s) -
Young D. L.,
Hu S. P.,
Chen C. W.,
Fan C. M.,
Murugesan K.
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.20695
Subject(s) - helmholtz equation , discretization , singular value decomposition , gravitational singularity , boundary value problem , wavelength , microwave , mathematical analysis , mathematics , method of fundamental solutions , cutoff , helmholtz free energy , optics , physics , algorithm , computer science , boundary element method , singular boundary method , finite element method , telecommunications , quantum mechanics , thermodynamics
The present work describes the application of the method of fundamental solutions (MFS) for the solution of cutoff wavelengths of elliptical waveguides. Since the MFS employs a formulation using boundary values only, the cutoff wavelengths are determined by applying the singular value decomposition (SVD) technique. The use of the MFS to solve the governing (Helmholtz) equation guarantees a solution without singularities, since it does not use discretized points to determine the solution at the interior of the computational domain. The combination of the MFS and SVD techniques has resulted in a simpler and efficient numerical solution procedure, as compared to other schemes. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 44: 552–558, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20695