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Structural and Multidisciplinary Optimization
Erschienen in: Structural and Multidisciplinary Optimization 2/2015

01.08.2015 | RESEARCH PAPER

Sensitivity analysis and optimization of eigenmode localization in continuum systems

verfasst von: Zhengfang Zhang, Weifeng Chen, Xiaoliang Cheng

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 2/2015

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Abstract

A model problem arising from optical design of photonic bandgap structure is investigated. That is, the optimization problem is to find the material inhomogeneity in a domain so that a particular eigenmode governed by the scalar Helmholtz equation is localized. The continuum sensitivity analysis of the objective function including the eigenmode is carried out. The derivative of the objective function with respect to the density function is obtained by the sensitivity problem and the adjoint problem in continuum systems. When the multiplicity of eigenmode happens, our strategy is to select the closest eigenmode to the current eigenmode. Four numerical examples in a square domain are studied, with different weight functions and initial density distributions. The numerical results illustrate the validity of the algorithm based on the continuum sensitivity analysis.
Vorheriger Artikel A variational growth approach to topology optimization
Nächster Artikel Efficient global robust optimization of unconstrained problems affected by parametric uncertainties

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Metadaten
Titel
Sensitivity analysis and optimization of eigenmode localization in continuum systems
verfasst von
Zhengfang Zhang
Weifeng Chen
Xiaoliang Cheng
Publikationsdatum
01.08.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 2/2015
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-015-1235-y

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