Material optimization in transverse electromagnetic scattering applications

Beitrag in einer Fachzeitschrift
(Originalarbeit)


Details zur Publikation

Autorinnen und Autoren: Semmler J, Pflug L, Stingl M
Zeitschrift: SIAM Journal on Scientific Computing
Verlag: Society for Industrial and Applied Mathematics Publications
Jahr der Veröffentlichung: 2018
Band: 40
Heftnummer: 1
Seitenbereich: B85-B109
ISSN: 1064-8275


Abstract

A class of algorithms for the solution of discrete material optimization problems in electromagnetic applications is discussed. The idea behind the algorithm is similar to that of the sequential programming. However, in each major iteration a model is established on the basis of an appropriately parametrized material tensor. The resulting nonlinear parametrization is treated on the level of the sub-problem, for which, globally optimal solutions can be computed due to the block separability of the model. Although global optimization of non-convex design problems is generally prohibitive,
a well chosen combination of analytic solutions along with standard global optimization techniques leads to a very efficient algorithm for most relevant material parametrizations. A global convergence result for the overall algorithm is established. The effectiveness of the approach in terms of both computation time and solution quality is demonstrated by numerical examples, including the optimal design of cloaking layers for a nano-particle and the identification of multiple materials with different optical properties in a matrix.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Pflug, Lukas Dr.
Professur für Angewandte Mathematik (Kontinuierliche Optimierung)
Semmler, Johannes
Lehrstuhl für Angewandte Mathematik
Stingl, Michael Prof. Dr.
Professur für Angewandte Mathematik (Kontinuierliche Optimierung)


Zusätzliche Organisationseinheit(en)
Exzellenz-Cluster Engineering of Advanced Materials


Forschungsbereiche

C Photonic and Optical Materials
Exzellenz-Cluster Engineering of Advanced Materials
A3 Multiscale Modeling and Simulation
Exzellenz-Cluster Engineering of Advanced Materials


Zitierweisen

APA:
Semmler, J., Pflug, L., & Stingl, M. (2018). Material optimization in transverse electromagnetic scattering applications. SIAM Journal on Scientific Computing, 40(1), B85-B109. https://dx.doi.org/10.1137/17M1127569

MLA:
Semmler, Johannes, Lukas Pflug, and Michael Stingl. "Material optimization in transverse electromagnetic scattering applications." SIAM Journal on Scientific Computing 40.1 (2018): B85-B109.

BibTeX: 

Zuletzt aktualisiert 2019-14-03 um 11:18