Low-order macromodels of planar waveguides exhibiting geometric, material, and layout uncertainty

Aosheng Rong; Andreas C Cangellaris

doi:10.1109/MWSYM.2012.6259577

Low-order macromodels of planar waveguides exhibiting geometric, material, and layout uncertainty

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

A methodology is presented for the development of low-order macromodels of planar waveguides exhibiting uncertainty in the cross-sectional geometry of the conducting strips, the insulating material in which the waveguide is immersed, and in the waveguide layout. The proposed methodology makes use of stochastic collocation and the ideas of polynomial chaos expansion to capture the uncertainty in geometric parameters in the matrix representation of a finite-element/finite-difference model of the waveguide. Subsequently, a Laguerre-based, model order reduction process is used to generate a stochastic model of dimension significantly smaller than that of the original one. The accuracy of the proposed method is demonstrated through its application to the transient simulation of broadband signal transmission in a multi-conductor planar interconnect.

Original language	English (US)
Title of host publication	IMS 2012 - 2012 IEEE MTT-S International Microwave Symposium
DOIs	https://doi.org/10.1109/MWSYM.2012.6259577
State	Published - Oct 3 2012
Event	2012 IEEE MTT-S International Microwave Symposium, IMS 2012 - Montreal, QC, Canada Duration: Jun 17 2012 → Jun 22 2012

Publication series

Name	IEEE MTT-S International Microwave Symposium Digest
ISSN (Print)	0149-645X

Other

Other	2012 IEEE MTT-S International Microwave Symposium, IMS 2012
Country	Canada
City	Montreal, QC
Period	6/17/12 → 6/22/12

Keywords

Finite element method
Model order reduction
Multiconductor transmission lines
Planar waveguides
Statistical modeling
Transient simulation

ASJC Scopus subject areas

Radiation
Condensed Matter Physics
Electrical and Electronic Engineering

Access to Document

10.1109/MWSYM.2012.6259577

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Cite this

Rong, A & Cangellaris, AC 2012, Low-order macromodels of planar waveguides exhibiting geometric, material, and layout uncertainty. in IMS 2012 - 2012 IEEE MTT-S International Microwave Symposium., 6259577, IEEE MTT-S International Microwave Symposium Digest, 2012 IEEE MTT-S International Microwave Symposium, IMS 2012, Montreal, QC, Canada, 6/17/12. https://doi.org/10.1109/MWSYM.2012.6259577

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N2 - A methodology is presented for the development of low-order macromodels of planar waveguides exhibiting uncertainty in the cross-sectional geometry of the conducting strips, the insulating material in which the waveguide is immersed, and in the waveguide layout. The proposed methodology makes use of stochastic collocation and the ideas of polynomial chaos expansion to capture the uncertainty in geometric parameters in the matrix representation of a finite-element/finite-difference model of the waveguide. Subsequently, a Laguerre-based, model order reduction process is used to generate a stochastic model of dimension significantly smaller than that of the original one. The accuracy of the proposed method is demonstrated through its application to the transient simulation of broadband signal transmission in a multi-conductor planar interconnect.

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