One-dimensional $\mathcal{PT}$-symmetric acoustic heterostructure

doi:10.1088/1674-1056/ac90b3

中国物理B ›› 2022, Vol. 31 ›› Issue (12): 124301-124301.doi: 10.1088/1674-1056/ac90b3

One-dimensional $\mathcal{PT}$-symmetric acoustic heterostructure

Hai-Xiao Zhang(张海啸)^1,2, Wei Xiong(熊威)¹, Ying Cheng(程营)^1,3,†, and Xiao-Jun Liu(刘晓峻)^1,3,‡

1 Department of Physics, MOE Key Laboratory of Modern Acoustics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China;
2 School of Electrical and Information Engineering, Changzhou Institute of Technology, Changzhou 213032, China;
3 State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China

收稿日期:2022-08-05 修回日期:2022-09-08 接受日期:2022-09-09 出版日期:2022-11-11 发布日期:2022-11-19
通讯作者: Ying Cheng, Xiao-Jun Liu E-mail:chengying@nju.edu.cn;liuxiaojun@nju.edu.cn
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2017YFA0303702) and the National Natural Science Foundation of China (Grant Nos. 12225408, 12074183, 11922407, 11904035, 11834008, and 11874215).

One-dimensional $\mathcal{PT}$-symmetric acoustic heterostructure

Hai-Xiao Zhang(张海啸)^1,2, Wei Xiong(熊威)¹, Ying Cheng(程营)^1,3,†, and Xiao-Jun Liu(刘晓峻)^1,3,‡

1 Department of Physics, MOE Key Laboratory of Modern Acoustics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China;
2 School of Electrical and Information Engineering, Changzhou Institute of Technology, Changzhou 213032, China;
3 State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, China

Received:2022-08-05 Revised:2022-09-08 Accepted:2022-09-09 Online:2022-11-11 Published:2022-11-19
Contact: Ying Cheng, Xiao-Jun Liu E-mail:chengying@nju.edu.cn;liuxiaojun@nju.edu.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2017YFA0303702) and the National Natural Science Foundation of China (Grant Nos. 12225408, 12074183, 11922407, 11904035, 11834008, and 11874215).

摘要/Abstract

摘要： The explorations of parity-time ($\mathcal{PT}$)-symmetric acoustics have resided at the frontier in physics, and the pre-existing accessing of exceptional points typically depends on Fabry-Perot resonances of the coupling interlayer sandwiched between balanced gain and loss components. Nevertheless, the concise $\mathcal{PT}$-symmetric acoustic heterostructure, eliminating extra interactions caused by the interlayer, has not been researched in depth. Here we derive the generalized unitary relation for one-dimensional (1D) $\mathcal{PT}$-symmetric heterostructure of arbitrary complexity, and demonstrate four disparate patterns of anisotropic transmission resonances (ATRs) accompanied by corresponding spontaneous phase transitions. As a special case of ATR, the occasional bidirectional transmission resonance reconsolidates the ATR frequencies that split when waves incident from opposite directions, whose spatial profiles distinguish from a unitary structure. The derived theoretical relation can serve as a predominant signature for the presence of $\mathcal{PT}$ symmetry and $\mathcal{PT}$-symmetry-breaking transition, which may provide substantial support for the development of prototype devices with asymmetric acoustic responses.

关键词: acoustic $\mathcal{PT}$-symmetric heterostructure, anisotropic transmission resonance, occasional bidirectional transmission resonance

Abstract: The explorations of parity-time ($\mathcal{PT}$)-symmetric acoustics have resided at the frontier in physics, and the pre-existing accessing of exceptional points typically depends on Fabry-Perot resonances of the coupling interlayer sandwiched between balanced gain and loss components. Nevertheless, the concise $\mathcal{PT}$-symmetric acoustic heterostructure, eliminating extra interactions caused by the interlayer, has not been researched in depth. Here we derive the generalized unitary relation for one-dimensional (1D) $\mathcal{PT}$-symmetric heterostructure of arbitrary complexity, and demonstrate four disparate patterns of anisotropic transmission resonances (ATRs) accompanied by corresponding spontaneous phase transitions. As a special case of ATR, the occasional bidirectional transmission resonance reconsolidates the ATR frequencies that split when waves incident from opposite directions, whose spatial profiles distinguish from a unitary structure. The derived theoretical relation can serve as a predominant signature for the presence of $\mathcal{PT}$ symmetry and $\mathcal{PT}$-symmetry-breaking transition, which may provide substantial support for the development of prototype devices with asymmetric acoustic responses.

Key words: acoustic $\mathcal{PT}$-symmetric heterostructure, anisotropic transmission resonance, occasional bidirectional transmission resonance

中图分类号: (General linear acoustics)

43.20.+g

43.35.+d (Ultrasonics, quantum acoustics, and physical effects of sound) 43.20.El (Reflection, refraction, diffraction of acoustic waves) 43.20.Fn (Scattering of acoustic waves)

Hai-Xiao Zhang(张海啸), Wei Xiong(熊威), Ying Cheng(程营), and Xiao-Jun Liu(刘晓峻). One-dimensional $\mathcal{PT}$-symmetric acoustic heterostructure[J]. 中国物理B, 2022, 31(12): 124301-124301.

Hai-Xiao Zhang(张海啸), Wei Xiong(熊威), Ying Cheng(程营), and Xiao-Jun Liu(刘晓峻). One-dimensional $\mathcal{PT}$-symmetric acoustic heterostructure[J]. Chin. Phys. B, 2022, 31(12): 124301-124301.

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One-dimensional $\mathcal{PT}$-symmetric acoustic heterostructure

One-dimensional $\mathcal{PT}$-symmetric acoustic heterostructure

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