Transient analysis of distributed electromagnetic systems exhibiting stochastic variability in material parameters

Aosheng Rong; Andreas C Cangellaris

doi:10.1109/URSIGASS.2011.6050399

Transient analysis of distributed electromagnetic systems exhibiting stochastic variability in material parameters

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

Abstract

The mathematical framework of polynomial chaos is used to develop an FDTD-based model for transient electromagnetic wave interaction with stochastic media. Making use of orthogonal polynomials for the expansion of the stochastic material quantities and the unknown electromagnetic fields in the probability space of interest, a model is put forward that, in principle, allows for the direct calculation of the resulting stochastic electromagnetic response through a standard FDTD integration of a deterministic system with state variables the coefficients in the polynomial chaos expansion of the stochastic electric and magnetic field time histories at the nodes of the finite difference grid. The resulting computer model is demonstrated through the transient simulation of electromagnetic wave interactions with inhomogeneous dielectric regions inside two-dimensional parallel-plate waveguides.

Original language	English (US)
Title of host publication	2011 30th URSI General Assembly and Scientific Symposium, URSIGASS 2011
DOIs	https://doi.org/10.1109/URSIGASS.2011.6050399
State	Published - 2011
Event	2011 30th URSI General Assembly and Scientific Symposium, URSIGASS 2011 - Istanbul, Turkey Duration: Aug 13 2011 → Aug 20 2011

Other

Other	2011 30th URSI General Assembly and Scientific Symposium, URSIGASS 2011
Country/Territory	Turkey
City	Istanbul
Period	8/13/11 → 8/20/11

ASJC Scopus subject areas

Computer Networks and Communications
Electrical and Electronic Engineering

Online availability

10.1109/URSIGASS.2011.6050399

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Rong, A & Cangellaris, AC 2011, Transient analysis of distributed electromagnetic systems exhibiting stochastic variability in material parameters. in 2011 30th URSI General Assembly and Scientific Symposium, URSIGASS 2011., 6050399, 2011 30th URSI General Assembly and Scientific Symposium, URSIGASS 2011, Istanbul, Turkey, 8/13/11. https://doi.org/10.1109/URSIGASS.2011.6050399

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abstract = "The mathematical framework of polynomial chaos is used to develop an FDTD-based model for transient electromagnetic wave interaction with stochastic media. Making use of orthogonal polynomials for the expansion of the stochastic material quantities and the unknown electromagnetic fields in the probability space of interest, a model is put forward that, in principle, allows for the direct calculation of the resulting stochastic electromagnetic response through a standard FDTD integration of a deterministic system with state variables the coefficients in the polynomial chaos expansion of the stochastic electric and magnetic field time histories at the nodes of the finite difference grid. The resulting computer model is demonstrated through the transient simulation of electromagnetic wave interactions with inhomogeneous dielectric regions inside two-dimensional parallel-plate waveguides.",

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year = "2011",

doi = "10.1109/URSIGASS.2011.6050399",

language = "English (US)",

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AB - The mathematical framework of polynomial chaos is used to develop an FDTD-based model for transient electromagnetic wave interaction with stochastic media. Making use of orthogonal polynomials for the expansion of the stochastic material quantities and the unknown electromagnetic fields in the probability space of interest, a model is put forward that, in principle, allows for the direct calculation of the resulting stochastic electromagnetic response through a standard FDTD integration of a deterministic system with state variables the coefficients in the polynomial chaos expansion of the stochastic electric and magnetic field time histories at the nodes of the finite difference grid. The resulting computer model is demonstrated through the transient simulation of electromagnetic wave interactions with inhomogeneous dielectric regions inside two-dimensional parallel-plate waveguides.

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Transient analysis of distributed electromagnetic systems exhibiting stochastic variability in material parameters

Abstract

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