Title :
Modified perturbation theory for wideband finite-element model order reduction in eigen-problems
Author :
Lee, Shih-Hao ; Wu, Ruey-Beei
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Abstract :
Modified perturbation theory based on high order Taylor series expansion and congruence transformation is applied to the finite-element model order reduction to accelerate the analysis of waveguide eigen-mode problems. The limit of Taylor series by poles is overcome and the bandwidth of a single-point reduced-order model is greatly improved. Without transforming a Taylor series to a Pade rational function, as in an AWE process, this method is more stable and has a wider bandwidth.
Keywords :
eigenvalues and eigenfunctions; finite element analysis; microstrip lines; perturbation theory; reduced order systems; series (mathematics); AWE process; Pade rational function; Taylor series expansion; Taylor series limit; bandwidth improvement; congruence transformation; finite element methods; microstrip; microwave waveguides; model order reduction; modified perturbation theory; numerical analysis; waveguide eigen-mode problem analysis; Bandwidth; Electromagnetic waveguides; Finite element methods; Frequency; Optical waveguides; Reduced order systems; Taylor series; Transmission line matrix methods; Waveguide theory; Wideband;
Conference_Titel :
Microwave Symposium Digest, 2004 IEEE MTT-S International
Print_ISBN :
0-7803-8331-1
DOI :
10.1109/MWSYM.2004.1338836
