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An improved finite‐difference procedure for electromagnetic eigenvalue problems
Author(s) -
Junker Gregory P.,
Gordon Richard K.
Publication year - 1998
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/(sici)1098-2760(19980605)18:2<86::aid-mop2>3.0.co;2-d
Subject(s) - helmholtz equation , eigenvalues and eigenvectors , finite difference method , finite difference time domain method , microwave , finite difference , boundary value problem , helmholtz free energy , dirichlet distribution , mathematical analysis , mathematics , boundary (topology) , waveguide , computer science , physics , optics , telecommunications , quantum mechanics
A finite‐difference procedure which requires the use of virtual and duplicate nodes is presented. This procedure incorporates the Neumann and Dirichlet boundary conditions into the two‐dimensional Helmholtz equation. Comparisons made with analytic solutions for waveguide modes indicate that robust solutions can be obtained with a low mesh density. © 1998 John Wiley & Sons, Inc. Microwave Opt Technol Lett 18: 86–90, 1998.