Wave propagation in a 1D slab with stochastic properties

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Abstract

Wave propagation in and through a 1-dimensional dielectric slab with stochastic properties is studied as a simplified example of a broader class of wave propagation in random media. This problem can be formulated in terms of a 1-dimensional domain-integral equation in the frequency domain. For a deterministic setup, the integral equation admits an efficient matrix-vector product, owing to the properties of the Green's function and the local field-material interactions. However, when the slab has stochastic permittivity, the problem becomes nonlinear with respect to the parameters that describe the stochastic nature of the problem, which makes the full characterization of the solution to the problem more intricate. Instead of resorting to a sampling approach, like Monte-Carlo methods or stochastic collocation, the possibilities of applying intrusive polynomial chaos are investigated and the implications for the corresponding numerical scheme are addressed, as well as the conditioning and efficiency of the scheme.
Original languageEnglish
Title of host publicationAn integral approach to electromagnetic scattering : a workshop on recent developments in theory and applications (INT13), 12 November 2013, Amsterdam, The Netherlands
Publication statusPublished - 2013
Eventconference; INT 13; 2013-11-12; 2013-11-12 -
Duration: 12 Nov 201312 Nov 2013

Conference

Conferenceconference; INT 13; 2013-11-12; 2013-11-12
Period12/11/1312/11/13
OtherINT 13

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