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Fast and accurate mode‐spectrum analysis of waveguide structures using a new set of edge‐conditioned basis functions
Author(s) -
Damaschke John M.,
Amari Smain,
Bornemann Jens
Publication year - 1998
Publication title -
international journal of rf and microwave computer‐aided engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.335
H-Index - 39
eISSN - 1099-047X
pISSN - 1096-4290
DOI - 10.1002/(sici)1099-047x(199805)8:3<215::aid-mmce5>3.0.co;2-i
Subject(s) - basis function , waveguide , basis (linear algebra) , modal analysis , modal , field (mathematics) , eigenfunction , mathematical analysis , optics , mathematics , microwave , matching (statistics) , algorithm , physics , geometry , eigenvalues and eigenvectors , acoustics , computer science , telecommunications , materials science , statistics , quantum mechanics , polymer chemistry , pure mathematics , vibration
A new set of edge‐conditioned basis functions is used to determine the modal characteristics of a large variety of nonstandard waveguide structures. Since the electromagnetic field includes the proper edge conditions at metallic corners and since the new basis functions are readily Fourier transformed, a considerable reduction in computational effort with respect to standard modal field‐matching techniques is observed. Similar to procedures involving other known sets of applicable basis functions, the analysis achieves a higher reliability level, as it completely avoids relative convergence phenomena. The method is demonstrated at the examples of several waveguide structures, such as the L‐shape, T‐shape, and cross‐iris‐shape waveguides; the rectangular coaxial waveguide; and the ridged circular waveguide. Results for the cut‐off wave numbers of TE and TM modes are shown to be in excellent agreement with those from standard modal field‐matching techniques and previously published data. © 1998 John Wiley & Sons, Inc. Int J RF and Microwave CAE 8: 215–225, 1998.