Journal Article10.1109/usnc-ursi52151.2023.10237509
Single Source Volume-Surface Integral Equations for Scattering on Nonuniform Structures
Cedric Münger,Kristof Cools +1 more
- 23 Jul 2023
pp 1827-1828
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TL;DR: Single source volume-surface integral equations for scattering on nonuniform structures provide a well-conditioned and efficient method for solving scattering problems.
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Abstract: This contribution introduces a single source formulation for the scattering of time harmonic electromagnetic waves by a nonuniform, penetrable region. The method is constructed from the combination of volume-surface integral equations with the single source method. In contrast to an additive multi-trace formulation, a multi-trace single source formulation combines the equation in a multiplicative fashion. The single source method requires fewer unknowns. Additionally, it is well-conditioned.
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Citations
Coupled Boundary and Volume Integral Equations for Electromagnetic Scattering
Ignacio Labarca-Figueroa,Ralf Hiptmair +1 more
TL;DR: Coupled boundary and volume integral equations for electromagnetic scattering are derived and discretized using a Galerkin approach. The new formulation includes layer and volume potentials and allows for efficient numerical implementation.
References
Multitrace boundary integral equations
Xavier Claeys,Ralf Hiptmair,Carlos Jerez-Hanckes +2 more
- 16 Jan 2013
42
Internally Combined Volume-Surface Integral Equation for EM Analysis of Inhomogeneous Negative Permittivity Plasma Scatterers
TL;DR: A well-conditioned internally combined volume-surface integral equation (ICVSIE) for analyzing electromagnetic scattering from perfect electrically conducting (PEC) surfaces coated with negative permittivity plasmas is presented in this paper.
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Multi-trace, Single Source
Kristof Cools
- 28 Aug 2021
TL;DR: In this paper, an integral equation based domain decomposition method for the modeling of scattering of time harmonic electromagnetic waves by a penetrable obstacle is introduced, which is a single source method constructed from the gap idea that lies at the heart of the global multi-trace formulation.
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