Broadband All-angle Negative Refraction by Optimized Phononic Crystals
Abstract All-angle negative refraction (AANR) of phononic crystals and its frequency range are dependent on mechanical properties of constituent materials and their spatial distribution. So far, it is impossible to achieve the maximum operation frequency range of AANR theoretically. In this paper, w...
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2017
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oai:doaj.org-article:844aaf03dc294fbdacbcdaf207ccbd382021-12-02T11:51:03ZBroadband All-angle Negative Refraction by Optimized Phononic Crystals10.1038/s41598-017-07914-12045-2322https://doaj.org/article/844aaf03dc294fbdacbcdaf207ccbd382017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-07914-1https://doaj.org/toc/2045-2322Abstract All-angle negative refraction (AANR) of phononic crystals and its frequency range are dependent on mechanical properties of constituent materials and their spatial distribution. So far, it is impossible to achieve the maximum operation frequency range of AANR theoretically. In this paper, we will present a numerical approach for designing a two-dimensional phononic crystal with broadband AANR without negative index. Through analyzing the mechanism of AANR, a topology optimization problem aiming at broadband AANR is established and solved by bi-directional evolutionary structural optimization method. The optimal steel/air phononic crystal exhibits a record AANR range over 20% and its refractive properties and focusing effects are further investigated. The results demonstrate the multifunctionality of a flat phononic slab including superlensing effect near upper AANR frequencies and self-collimation at lower AANR frequencies.Yang Fan LiFei MengShiwei ZhouMing-Hui LuXiaodong HuangNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-7 (2017) |
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Medicine R Science Q Yang Fan Li Fei Meng Shiwei Zhou Ming-Hui Lu Xiaodong Huang Broadband All-angle Negative Refraction by Optimized Phononic Crystals |
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Abstract All-angle negative refraction (AANR) of phononic crystals and its frequency range are dependent on mechanical properties of constituent materials and their spatial distribution. So far, it is impossible to achieve the maximum operation frequency range of AANR theoretically. In this paper, we will present a numerical approach for designing a two-dimensional phononic crystal with broadband AANR without negative index. Through analyzing the mechanism of AANR, a topology optimization problem aiming at broadband AANR is established and solved by bi-directional evolutionary structural optimization method. The optimal steel/air phononic crystal exhibits a record AANR range over 20% and its refractive properties and focusing effects are further investigated. The results demonstrate the multifunctionality of a flat phononic slab including superlensing effect near upper AANR frequencies and self-collimation at lower AANR frequencies. |
format |
article |
author |
Yang Fan Li Fei Meng Shiwei Zhou Ming-Hui Lu Xiaodong Huang |
author_facet |
Yang Fan Li Fei Meng Shiwei Zhou Ming-Hui Lu Xiaodong Huang |
author_sort |
Yang Fan Li |
title |
Broadband All-angle Negative Refraction by Optimized Phononic Crystals |
title_short |
Broadband All-angle Negative Refraction by Optimized Phononic Crystals |
title_full |
Broadband All-angle Negative Refraction by Optimized Phononic Crystals |
title_fullStr |
Broadband All-angle Negative Refraction by Optimized Phononic Crystals |
title_full_unstemmed |
Broadband All-angle Negative Refraction by Optimized Phononic Crystals |
title_sort |
broadband all-angle negative refraction by optimized phononic crystals |
publisher |
Nature Portfolio |
publishDate |
2017 |
url |
https://doaj.org/article/844aaf03dc294fbdacbcdaf207ccbd38 |
work_keys_str_mv |
AT yangfanli broadbandallanglenegativerefractionbyoptimizedphononiccrystals AT feimeng broadbandallanglenegativerefractionbyoptimizedphononiccrystals AT shiweizhou broadbandallanglenegativerefractionbyoptimizedphononiccrystals AT minghuilu broadbandallanglenegativerefractionbyoptimizedphononiccrystals AT xiaodonghuang broadbandallanglenegativerefractionbyoptimizedphononiccrystals |
_version_ |
1718395174325846016 |