Convergence Analysis of the Cauer Ladder Network Method using Eigenfunction Expansion

The Cauer ladder network (CLN) method is a model order reduction technique applicable to quasi-static electromagnetic field analysis. In this study, we derive an explicit formula for determining the error of the truncated transfer function and its upper bounds using the eigenvalues of Green's o...

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Bibliographic Details
Published in2022 IEEE 20th Biennial Conference on Electromagnetic Field Computation (CEFC) pp. 1 - 2
Main Authors Nagamine, H., Hiruma, S., Mifune, T., Matsuo, T.
Format Conference Proceeding
LanguageEnglish
Published IEEE 24.10.2022
Subjects
Analytical models
Convergence
Eigenvalues and eigenfunctions
Electromagnetic fields
Green's function
Green's function methods
Krylov subspace methods
model order reduction
Padé approximation
Transfer functions
Upper bound
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Summary:The Cauer ladder network (CLN) method is a model order reduction technique applicable to quasi-static electromagnetic field analysis. In this study, we derive an explicit formula for determining the error of the truncated transfer function and its upper bounds using the eigenvalues of Green's operator and the orthogonal polynomials associated with the basis functions for the CLN method.
DOI:10.1109/CEFC55061.2022.9940892