Perfectly Matched Layers for Diffraction Gratings in Inhomogeneous Media. Stability and Error Estimates

Autor:	Victor Kalvin
Rok vydání:	2011
Předmět:	Numerical Analysis Computational Mathematics Perfectly matched layer Surface wave Scattering Applied Mathematics Mathematical analysis Grating Refractive index Diffraction grating Electromagnetic radiation Eigenvalues and eigenvectors Mathematics
Zdroj:	SIAM Journal on Numerical Analysis. 49:309-330
ISSN:	1095-7170 0036-1429
DOI:	10.1137/08073442x
Popis:	We study the scattering of acoustic or electromagnetic waves at diffraction gratings in inhomogeneous media. The refractive index stabilizes to 1 as the distance to the grating increases. Outgoing solutions are characterized by means of the limiting absorption principle. We prove the unique solvability of the problem with perfectly matched layer of finite length. Further, we show that solutions of the latter problem approximate outgoing solutions of the original problem with an error that exponentially tends to zero as the length of perfectly matched layer tends to infinity. Contribution of eigenvalues and resonances to the error of approximation is clarified.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::153ad39cfb78a06605bc2cf9a3c0e316 https://doi.org/10.1137/08073442x Zobrazit plný text záznamu Plný text ve formátu PDF