Domain decomposition for quasi-periodic scattering by layered media via robust boundary-integral equations at all frequencies
Document Type
Article
Publication Date
1-1-2019
Abstract
We develop a non-overlapping domain decomposition method (DDM) for scalar wave scattering by periodic layered media. Our approach relies on robust boundary-integral equation formulations of Robin-to-Robin (RtR) maps throughout the frequency spectrum, including cutoff (or Wood) frequencies. We overcome the obstacle of non-convergent quasi-periodic Green functions at these frequencies by incorporating newly introduced shifted Green functions. Using the latter in the definition of quasi-periodic boundary-integral operators leads to rigorously stable computations of RtR operators. We develop Nyström discretizations of the RtR maps that rely on trigonometric interpolation, singularity resolution, and fast convergent windowed quasi-periodic Green functions. We solve the tridiagonal DDM system via recursive Schur complements and establish rigorously that this procedure is always completed successfully. We present a variety of numerical results concerning Wood frequencies in two and three dimensions as well as large numbers of layers.
Identifier
85071856411 (Scopus)
Publication Title
Communications in Computational Physics
External Full Text Location
https://doi.org/10.4208/cicp.OA-2018-0021
e-ISSN
19917120
ISSN
18152406
First Page
265
Last Page
310
Issue
1
Volume
26
Grant
0807325
Fund Ref
National Science Foundation
Recommended Citation
Pérez-Arancibia, Carlos; Shipman, Stephen P.; Turc, Catalin; and Venakides, Stephanos, "Domain decomposition for quasi-periodic scattering by layered media via robust boundary-integral equations at all frequencies" (2019). Faculty Publications. 8051.
https://digitalcommons.njit.edu/fac_pubs/8051