Macro-Modeling of Electromagnetic Domains Exhibiting Geometric and Material Uncertainty

Authors

  • Juan S. Ochoa Department of Electrical and Computer Engineering University of Illinois, Urbana, IL, 61801, U.S.A.
  • Andreas C. Cangellaris Department of Electrical and Computer Engineering University of Illinois, Urbana, IL, 61801, U.S.A.

Keywords:

Macro-Modeling of Electromagnetic Domains Exhibiting Geometric and Material Uncertainty

Abstract

A methodology is presented for the development of stochastic electromagnetic macromodels for domains exhibiting geometric and material uncertainty. Focusing on the case of domains exhibiting geometric/material invariance along one of the axes of the reference coordinate system, the methodology makes use of the theory of polynomial chaos expansion and the concept of a global impedance/admittance matrix relationship defined over a circular surface enclosing the crosssectional geometry of the domain of interest. The result is a stochastic global impedance/admittance matrix, defined on the enclosing circular surface, whose elements are truncated polynomial chaos expansions over the random space defined by the independent random variables that parameterize the geometric and material uncertainty inside the domain. Use is made of sparse Smolyak grids to reduce the computational cost of constructing the stochastic macro-model. Numerical examples are used to demonstrate some of the attributes of the proposed stochastic macro-models to the numerical solution of electromagnetic scattering problems by an ensemble of cylindrical targets exhibiting uncertainty in their shape and relative positioning.

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Author Biographies

Juan S. Ochoa, Department of Electrical and Computer Engineering University of Illinois, Urbana, IL, 61801, U.S.A.

Juan S. Ochoareceived his B.S.
degrees (summa cum laude) in
Physics and Electrical Engineering
in 2008 from the University San
Francisco, at Quito, Ecuador. In
2008, he joined the University of
Illinois at Urbana-Champaign,
where he got his M.Sc. inElectri-
cal Engineering in 2010. He recently completed an in-
ternship at Intel asa signal integrity engineer in the
summer of 2011.
Juan is currently working towards his Ph.D. in
Electrical Engineering at the University of Illinois and
his research interests include computational electro-
magnetics, stochastic MOR, sparse grid methods,met-
amaterials and electromagnetic scattering.

Andreas C. Cangellaris, Department of Electrical and Computer Engineering University of Illinois, Urbana, IL, 61801, U.S.A.

Andreas C. Cangellaris is the M.
E. Van Valkenburg Professor of
Electrical and Computer Engineer-
ing at the University of Illinois,
Urbana-Champaign. He received
his Diploma in Electrical Engineer-
ing (1981) from the Aristotle Uni-
versity of Thessaloniki, Greece,
and the M.S. (1983), and Ph.D. (1985) degrees in Elec-
trical Engineering from the University of California,
Berkeley. Prior to joining the University of Illinois,
Professor Cangellaris was on the facultyof the Depart-
ment of Electrical and Computer Engineering at the
University of Arizona from 1987-1997.
His research interests are in the area of applied and
computational electromagnetics. He is a Fellow of
IEEE, the recipient of the Alexander von Humboldt
Research Award in 2005, and the recipient of the 2012
IEEE MTT-S Distinguished Educator Award.
Professor Cangellaris is the co-founder of the IEEE
Topical Meeting on Electrical Performance of Electron-
ic Packaging. He serves currently as editor of the IEEE
Press Series on Electromagnetic Wave Theory.

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Published

2022-05-02

How to Cite

[1]
J. S. . Ochoa and A. C. . Cangellaris, “Macro-Modeling of Electromagnetic Domains Exhibiting Geometric and Material Uncertainty”, ACES Journal, vol. 27, no. 2, pp. 80–87, May 2022.

Issue

2012: Vol 27 Iss 2

Section

Articles