Numerical solution of optimal design problems for binary gratings

DOI10.1006/JCPH.1998.6071zbMath0922.65055OpenAlexW2028237637MaRDI QIDQ1276208

Gunther Schmidt, Johannes Elschner

Publication date: 17 January 1999

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1998.6071

zbMATH Keywords

convergencefinite element methodnumerical examplesHelmholtz equationnonlocal boundary conditionsdiffractionperiodic structuresoptimal design problemstransmission problemsminimization algorithmsboundary integral representationsbinary gratingsstrongly elliptic variational formulations

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Newton-type methods (49M15) PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

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