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Self-consistent adjoint analysis for topology optimization of electromagnetic waves

Deng, Yongbo; Korvink, Jan G.

Abstract (englisch):
In topology optimization of electromagnetic waves, the Gâteaux differentiability of the conjugate operator to the complex field variable results in the complexity of the adjoint sensitivity, which evolves the original real-valued design variable to be complex during the iterative solution procedure. Therefore, the self-inconsistency of the adjoint sensitivity is presented. To enforce the self-consistency, the real part operator has been used to extract the real part of the sensitivity to keep the real-value property of the design variable. However, this enforced self-consistency can cause the problem that the derived structural topology has unreasonable dependence on the phase of the incident wave. To solve this problem, this paper focuses on the self-consistent adjoint analysis of the topology optimization problems for electromagnetic waves. This self-consistent adjoint analysis is implemented by splitting the complex variables of the wave equations into the corresponding real parts and imaginary parts, sequentially substituting the split complex variables into the wave equations with deriving the coupled equations equivalent to th ... mehr


Zugehörige Institution(en) am KIT Institut für Mikrostrukturtechnik (IMT)
Publikationstyp Zeitschriftenaufsatz
Jahr 2018
Sprache Englisch
Identifikator ISSN: 0021-9991, 1090-2716
KITopen ID: 1000080140
HGF-Programm 43.22.01; LK 01
Erschienen in Journal of computational physics
URLs https://www.sciencedirect.com/science/article/pii/S002199911830055X
Schlagworte Topology optimization; Self-consistent adjoint sensitivity; Electromagnetic wave; Perfectly matched layers
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