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Analysis of higher order TM modes for pentagonal waveguides
Author(s) -
Chen R. S.,
Lei Mo,
Tsang K. F.,
Daoxiang Wang
Publication year - 2001
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.1374
Subject(s) - helmholtz equation , mathematical analysis , wavenumber , helmholtz free energy , mathematics , galerkin method , eigenvalues and eigenvectors , scalar (mathematics) , boundary value problem , waveguide , cutoff , microwave , basis function , matrix (chemical analysis) , physics , geometry , optics , quantum mechanics , materials science , nonlinear system , composite material
In this paper, the Ritz variational method is proposed to analyze the characteristics of the higher order TM modes for pentagonal waveguides. A series of functions are used as basis function to satisfy the boundary condition of the pentagonal waveguide metal wall. Then the scalar Helmholtz equation is satisfied using the Galerkin technique, and a linear matrix equation is obtained. The zeros of the matrix determinant are solved for the cutoff wavenumbers. The cutoff wavenumber of the first‐order mode is compared with those of the literature and a good agreement is found between them. © 2001 John Wiley & Sons, Inc. Microwave Opt Technol Lett 31, 115–118, 2001.