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The unstructured support operator method and its application in waveguide problems
Author(s) -
Liu Yuan A.,
Chew Weng Cho
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.21027
Subject(s) - spurious relationship , eigenvalues and eigenvectors , operator (biology) , scalar (mathematics) , microwave , waveguide , divergence (linguistics) , computer science , mathematics , algorithm , mathematical optimization , physics , telecommunications , quantum mechanics , geometry , biochemistry , chemistry , linguistics , philosophy , repressor , machine learning , transcription factor , gene
This paper extends the unstructured support operator method (SOM) into waveguide problems. The discrete operators derived in SOM satisfy the identities and theorems of scalar and vector calculus in discrete form. The algorithm derived here contains no spurious modes because the divergence‐free condition guarantees no spurious charge. The paper presents good results for typical waveguide problems on the nonorthogonal, nonsmooth, and unstructured grids. The Arnoldi method solves the generalized eigenvalue problem with great efficiency. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 46: 495–500, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21027