Shape optimization of optical microscale inclusions

DOI10.1137/23M158262XzbMATH Open1543.35227MaRDI QIDQ6573173

Manaswinee Bezbaruah, Winnifried Wollner, Matthias Maier

Publication date: 16 July 2024

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

shape optimizationtime-harmonic Maxwell's equationsinverse homogenizationadjoint formulationplasmonic crystals

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Optimization of shapes other than minimal surfaces (49Q10) Homogenization in optics and electromagnetic theory (78M40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDE constrained optimization (numerical aspects) (49M41)

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