A domain integral equation approach for simulating two dimensional transverse electric scattering in a layered medium with a Gabor frame discretization

We solve the 2D transverse-electrically polarized domain-integral equation in a layered background medium by applying a Gabor frame as a projection method. This algorithm employs both a spatial and a spectral discretization of the electric field and the contrast current in the direction of the layer...

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Bibliographic Details
Published in:Journal of computational physics 2017-09, Vol.345, p.528-542
Main Authors: Dilz, R.J., van Beurden, M.C.
Format: Article
Language:English
Subjects:
Algorithms
Computational physics
Computer simulation
Discretization
Electric fields
Electromagnetic scattering
Electromagnetism
Gabor frame
Green function
Green's functions
Integral equation
Integral equations
Scattering
Spectra
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Summary:We solve the 2D transverse-electrically polarized domain-integral equation in a layered background medium by applying a Gabor frame as a projection method. This algorithm employs both a spatial and a spectral discretization of the electric field and the contrast current in the direction of the layer extent. In the spectral domain we use a representation on the complex plane that avoids the poles and branchcuts found in the Green function. Because of the special choice of the complex-plane path in the spectral domain and because of the choice to use a Gabor frame to represent functions on this path, fast algorithms based on FFTs are available to transform to and from the spectral domain, yielding an O(Nlog⁡N) scaling in computation time.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2017.05.034