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VOL. 1 | 2018 Chapter 26. Topological Optimization for Photonic and Phononic crystals problems
Mouhamadou Baidy DIA, Ibrahima FAYE, Alassane SY

Editor(s) Hamet SEYDI, Gane Samb LO, Aboubakary DIAKHABY

Abstract

In this paper, we propose a numerical method to study phononic and photonic crystal problems. The proposed method is based on topological optimization tools. In fact, after modeling crystal photonics and phononic problems, we use topological optimization tools to build a numerical method for getting optimal design. Here the optimal design is the one in which all frequencies near the reference frequency corresponding to the reference wave length a can pass.

Information

Published: 1 January 2018
First available in Project Euclid: 26 September 2019

Digital Object Identifier: 10.16929/sbs/2018.100-05-03

Subjects:
Primary: 34H05 , 34k35 , 35J05 , 35P99 , 35Q60 , 49Q10

Keywords: crystals phononic and photonic , eigenvalue , numerical simulations , topological gradient , topological optimization

Rights: Copyright © 2018 The Statistics and Probability African Society

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