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A geometry optimization framework for photonic crystal design

A geometry optimization framework for photonic crystal design
A geometry optimization framework for photonic crystal design
The performance of photonic crystal devices can depend strongly on their geometry. Alas, their fundamental physics offers relatively little by way of pointers in terms of optimum shapes, so numerical design search techniques must be used in an attempt to determine high performance layouts. We discuss strategies for solving this type of optimization problem, the main challenge of which is the conflict between the enormous size of the space of potentially useful designs and the relatively high computational cost of evaluating the performance of putative shapes. The optimization technique proposed here operates over increasing levels of fidelity, both in terms of the resolution of its non-parametric shape definition and in terms of the resolution of the numerical analysis of the performance of putative designs. This is a generic method, potentially applicable to any type of electromagnetic device shape design problem. We also consider a methodology for assessing the robustness of the optima generated through this process, investigating the impact of manufacturing errors on their performance. As an illustration, we apply this technology to the design of a two-dimensional photonic crystal structure; the result features a large complete band gap structure and a topology that is different from previously published designs.

topology optimization, evolutionary algorithms, photonic crystals, band gaps
1569-4410
25-35
Hart, E.E.
d4df69be-0324-4f86-b84d-1644b7eea603
Sobester, A.
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Djidjeli, K.
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Molinari, M.
47944a31-9242-4dcf-a527-40309e104fbf
Thomas, K.S.
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Cox, S.J.
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Hart, E.E.
d4df69be-0324-4f86-b84d-1644b7eea603
Sobester, A.
096857b0-cad6-45ae-9ae6-e66b8cc5d81b
Djidjeli, K.
94ac4002-4170-495b-a443-74fde3b92998
Molinari, M.
47944a31-9242-4dcf-a527-40309e104fbf
Thomas, K.S.
b107015f-c7d9-42cc-b87b-207c49e5369a
Cox, S.J.
0e62aaed-24ad-4a74-b996-f606e40e5c55

Hart, E.E., Sobester, A., Djidjeli, K., Molinari, M., Thomas, K.S. and Cox, S.J. (2012) A geometry optimization framework for photonic crystal design. Photonics and Nanostructures - Fundamentals and Applications, 10 (1), 25-35. (doi:10.1016/j.photonics.2011.06.005).

Record type: Article

Abstract

The performance of photonic crystal devices can depend strongly on their geometry. Alas, their fundamental physics offers relatively little by way of pointers in terms of optimum shapes, so numerical design search techniques must be used in an attempt to determine high performance layouts. We discuss strategies for solving this type of optimization problem, the main challenge of which is the conflict between the enormous size of the space of potentially useful designs and the relatively high computational cost of evaluating the performance of putative shapes. The optimization technique proposed here operates over increasing levels of fidelity, both in terms of the resolution of its non-parametric shape definition and in terms of the resolution of the numerical analysis of the performance of putative designs. This is a generic method, potentially applicable to any type of electromagnetic device shape design problem. We also consider a methodology for assessing the robustness of the optima generated through this process, investigating the impact of manufacturing errors on their performance. As an illustration, we apply this technology to the design of a two-dimensional photonic crystal structure; the result features a large complete band gap structure and a topology that is different from previously published designs.

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Published date: January 2012
Keywords: topology optimization, evolutionary algorithms, photonic crystals, band gaps
Organisations: Computational Engineering and Design, Engineering Science Unit

Identifiers

Local EPrints ID: 192175
URI: http://eprints.soton.ac.uk/id/eprint/192175
ISSN: 1569-4410
PURE UUID: 6740e18a-2201-4fa2-a1f7-487ec0d75513
ORCID for A. Sobester: ORCID iD orcid.org/0000-0002-8997-4375

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Date deposited: 30 Jun 2011 10:46
Last modified: 20 Jul 2019 01:03

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Contributors

Author: E.E. Hart
Author: A. Sobester ORCID iD
Author: K. Djidjeli
Author: M. Molinari
Author: K.S. Thomas
Author: S.J. Cox

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