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Optimization of the electromagnetic scattering problem based on the topological derivative method

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Autor(es):
Pita Ruiz, Julian L. [1, 2] ; Amad, Alan A. S. [3] ; Gabrielli, Lucas H. [1, 2] ; Novotny, Antonio Andre [4]
Número total de Autores: 4
Afiliação do(s) autor(es):
[1] Univ Estadual Campinas, Sch Elect & Comp Engn, Campinas, SP - Brazil
[2] Univ Estadual Campinas, Photon Res Ctr, Campinas, SP - Brazil
[3] Swansea Univ, Coll Engn, Zienkiewicz Ctr Computat Engn, Bay Campus, Swansea, W Glam - Wales
[4] Lab Nacl Comp Cient, Petropolis, RJ - Brazil
Número total de Afiliações: 4
Tipo de documento: Artigo Científico
Fonte: Optics Express; v. 27, n. 23, p. 33586-33605, NOV 11 2019.
Citações Web of Science: 0
Resumo

A new optimization method based on the topological derivative concept is developed for the electromagnetic design problem. Essentially, the purpose of the topological derivative method is to measure the sensitivity of a given shape functional with respect to a singular domain perturbation, so that it has applications in many relevant fields such as shape and topology optimization for imaging processing, inverse problems, and design of metamaterials. The topological derivative is rigorously derived for the electromagnetic scattering problem and used as gradient descent direction to find local optima for the design of electromagnetic devices. We demonstrate that the resulting topology design algorithm is remarkably simple and efficient and naturally leads to binary designs, while depending only on the solution of the conventional finite element formulation fir electrodynamics. Finally, several numerical experiments in two and three spatial dimensions are presented to illustrate the performance of the proposed formulation. (C) 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement (AU)

Processo FAPESP: 15/24517-8 - Fotônica para internet de nova geração
Beneficiário:Hugo Enrique Hernández Figueroa
Linha de fomento: Auxílio à Pesquisa - Temático
Processo FAPESP: 16/19270-6 - Acopladores multimodo para fotônica integrada
Beneficiário:Lucas Heitzmann Gabrielli
Linha de fomento: Auxílio à Pesquisa - Apoio a Jovens Pesquisadores
Processo FAPESP: 18/25339-4 - Dispositivos fotônicos integrados
Beneficiário:Newton Cesario Frateschi
Linha de fomento: Auxílio à Pesquisa - Temático