Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/7553
Title: A boundary integral equation for the transmission eigenvalue problem for Maxwell equation
Authors: Cakoni, Fioralba
Ivanyshyn Yaman, Olha
Kress, Rainer
Le Louër, Frédérique
Keywords: Boundary integral equations
Inhomogeneous media
Inverse scattering
Transmission eigenvalues
Issue Date: Mar-2018
Publisher: John Wiley and Sons Inc.
Source: Cakoni, F., Ivanyshyn Yaman, O., Kress, R., and Le Louër, F. (2018). A boundary integral equation for the transmission eigenvalue problem for Maxwell equation. Mathematical Methods in the Applied Sciences, 41(4), 1316-1330. doi:10.1002/mma.4664
Abstract: We propose a new integral equation formulation to characterize and compute transmission eigenvalues in electromagnetic scattering. As opposed to the approach that was recently developed by Cakoni, Haddar and Meng (2015) which relies on a two-by-two system of boundary integral equations, our analysis is based on only one integral equation in terms of the electric-to-magnetic boundary trace operator that results in a simplification of the theory and in a considerable reduction of computational costs. We establish Fredholm properties of the integral operators and their analytic dependence on the wave number. Further, we use the numerical algorithm for analytic nonlinear eigenvalue problems that was recently proposed by Beyn (2012) for the numerical computation of the transmission eigenvalues via this new integral equation.
URI: https://doi.org/10.1002/mma.4664
https://hdl.handle.net/11147/7553
ISSN: 0170-4214
0170-4214
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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