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Self‐adaptive fast frequency sweep for the finite element analysis of waveguide modes
Author(s) -
Schultschik A.,
Farle O.,
Konkel Y.,
DyczijEdlinger R.
Publication year - 2011
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2010rs004638
Subject(s) - finite element method , sweep frequency response analysis , computation , modal , waveguide , convergence (economics) , modal analysis , reduction (mathematics) , bisection method , model order reduction , rate of convergence , computer science , mathematics , algorithm , acoustics , physics , optics , geometry , telecommunications , materials science , projection (relational algebra) , channel (broadcasting) , polymer chemistry , economics , thermodynamics , economic growth
This paper presents a self‐adaptive frequency sweep technique for the modal analysis of inhomogeneous electromagnetic waveguides over wide frequency bands. It rests on a multipoint order reduction approach for the finite element method and employs an adaptive scheme based on successive bisection to control the error in the propagation constants of the considered modes. The suggested approach is highly accurate and significantly faster than full finite element computations. Numerical examples are presented to validate the new method and to demonstrate the exponential convergence rate of the reduced‐order model.