Estimates in first order approximations to electromagnetic boundary integral equations on stochastic surfaces

B.L. Michielsen, O.O. Sy, M.C. Beurden, van

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Abstract

In this paper, we address the problem of computing estimates of the variability of "observables." Observables are measurable quantities which are defined as the integral of an appropriately chosen electromagnetic field against a (current-) distribution. The latter is obtained by solving a boundary value problem. In the case of an uncertain boundary geometry, the current distribution underlying the observable computation is a stochastic distribution whereas the field evaluated on this distribution to define the observable remains deterministic. The result is a stochastic observable of which the variance provides an interesting measure of the spreading of its values. Here, we develop a technique for explicitly computing the covariance operator of the stochastic distribution corresponding to the boundary value problem with uncertain geometry. The variance of observables can be computed directly from this operator as a bilinear form evaluated on the field defining the observable.
Original languageEnglish
Title of host publication2013 International Conference on Electromagnetics in Advanced Applications (ICEAA '13), September 9-13, 2013, Torino,, Italy
Place of PublicationTorino
Pages1135-1138
DOIs
Publication statusPublished - 2013
Event15th International Conference on Electromagnetics in Advanced Applications (ICEAA 2013) - Torino, Italy
Duration: 9 Sep 201313 Sep 2013
Conference number: 15

Conference

Conference15th International Conference on Electromagnetics in Advanced Applications (ICEAA 2013)
Abbreviated titleICEAA 2013
CountryItaly
CityTorino
Period9/09/1313/09/13

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