Conical diffraction by multilayer gratings: A recursive integral equation approach
Applications of Mathematics (2013)
- Volume: 58, Issue: 3, page 279-307
- ISSN: 0862-7940
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topSchmidt, Gunther. "Conical diffraction by multilayer gratings: A recursive integral equation approach." Applications of Mathematics 58.3 (2013): 279-307. <http://eudml.org/doc/252481>.
@article{Schmidt2013,
abstract = {The paper is devoted to an integral equation algorithm for studying the scattering of plane waves by multilayer diffraction gratings under oblique incidence. The scattering problem is described by a system of Helmholtz equations with piecewise constant coefficients in $\mathbb \{R\}^2$ coupled by special transmission conditions at the interfaces between different layers. Boundary integral methods lead to a system of singular integral equations, containing at least two equations for each interface. To deal with an arbitrary number of material layers we present the extension of a recursive procedure developed by Maystre for normal incidence, which transforms the problem to a sequence of equations with $2 \times 2$ operator matrices on each interface. Necessary and sufficient conditions for the applicability of the algorithm are derived.},
author = {Schmidt, Gunther},
journal = {Applications of Mathematics},
keywords = {diffraction; periodic structure; multilayer grating; singular integral formulation; recursive algorithm; diffraction; periodic structure; multilayer grating; singular integral formulation; recursive algorithm},
language = {eng},
number = {3},
pages = {279-307},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Conical diffraction by multilayer gratings: A recursive integral equation approach},
url = {http://eudml.org/doc/252481},
volume = {58},
year = {2013},
}
TY - JOUR
AU - Schmidt, Gunther
TI - Conical diffraction by multilayer gratings: A recursive integral equation approach
JO - Applications of Mathematics
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 3
SP - 279
EP - 307
AB - The paper is devoted to an integral equation algorithm for studying the scattering of plane waves by multilayer diffraction gratings under oblique incidence. The scattering problem is described by a system of Helmholtz equations with piecewise constant coefficients in $\mathbb {R}^2$ coupled by special transmission conditions at the interfaces between different layers. Boundary integral methods lead to a system of singular integral equations, containing at least two equations for each interface. To deal with an arbitrary number of material layers we present the extension of a recursive procedure developed by Maystre for normal incidence, which transforms the problem to a sequence of equations with $2 \times 2$ operator matrices on each interface. Necessary and sufficient conditions for the applicability of the algorithm are derived.
LA - eng
KW - diffraction; periodic structure; multilayer grating; singular integral formulation; recursive algorithm; diffraction; periodic structure; multilayer grating; singular integral formulation; recursive algorithm
UR - http://eudml.org/doc/252481
ER -
References
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