| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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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 |
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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.
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Received: 05 August 2022
Revised: 08 September 2022
Accepted manuscript online: 09 September 2022
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PACS:
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43.20.+g
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(General linear acoustics)
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43.35.+d
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(Ultrasonics, quantum acoustics, and physical effects of sound)
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43.20.El
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(Reflection, refraction, diffraction of acoustic waves)
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43.20.Fn
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(Scattering of acoustic waves)
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| Fund: 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). |
Corresponding Authors:
Ying Cheng, Xiao-Jun Liu
E-mail: chengying@nju.edu.cn;liuxiaojun@nju.edu.cn
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Cite this article:
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 2022 Chin. Phys. B 31 124301
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