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Structural and Multidisciplinary Optimization

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18-03-2016 | RESEARCH PAPER

Designing meta material slabs exhibiting negative refraction using topology optimization

Authors: Rasmus E. Christiansen, Ole Sigmund

Published in: Structural and Multidisciplinary Optimization | Issue 3/2016

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Abstract

This paper proposes a topology optimization based approach for designing meta materials exhibiting a desired negative refraction with high transmission at a given angle of incidence and frequency. The approach considers a finite slab of meta material consisting of axis-symmetric designable unit cells subjected to an exterior field. The unit cell is designed to achieve the desired properties based on tailoring the response of the meta material slab under the exterior field. The approach is directly applicable to physical problems modeled by the Helmholtz equation, such as acoustic, elastic and electromagnetic wave problems. Acoustic meta materials with unit cell size on the order of half the wave length are considered as examples. Optimized designs are presented and their performance under varying frequency and angle of incidence is investigated.

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¹ Note that the proposed formulation does not allow 𝜃 ₁=0^o due to the formulation relying on (21).

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Title: Designing meta material slabs exhibiting negative refraction using topology optimization
Authors: Rasmus E. Christiansen
Ole Sigmund
Publication date: 18-03-2016
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 3/2016
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-016-1411-8

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