Theory of complex-coordinate transformation acoustics for non-Hermitian metamaterials

doi:10.1088/1674-1056/acc3fc

Abstract Transformation acoustics (TA) has emerged as a powerful tool for designing several intriguing conceptual devices, which can manipulate acoustic waves in a flexible manner, yet their applications are limited in Hermitian materials. In this work, we propose the theory of complex-coordinate transformation acoustics (CCTA) and verify the effectiveness in realizing acoustic non-Hermitian metamaterials. Especially, we apply this theory for the first time to the design of acoustic parity-time (PT) and antisymmetric parity-time (APT) metamaterials and demonstrate two distinctive examples. First, we use this method to obtain the exceptional points (EPs) of the PT/APT system and observe the spontaneous phase transition of the scattering matrix in the transformation parameter space. Second, by selecting the Jacobian matrix's constitutive parameters, the PT/APT-symmetric system can also be configured to approach the zero and pole of the scattering matrix, behaving as an acoustic coherent perfect absorber and equivalent laser. We envision our proposed CCTA-based paradigm to open the way for exploring the non-Hermitian physics and finding application in the design of acoustic functional devices such as absorbers and amplifiers whose material parameters are hard to realize by using the conventional transformation method.

Keywords: complex-coordinate transformation acoustics acoustic non-Hermitian metamaterials exceptional points acoustic coherent perfect absorber and equivalent laser

Received: 26 January 2023
Revised: 05 March 2023
Accepted manuscript online: 14 March 2023

PACS:	43.20.+g	(General linear acoustics)
	43.28.+h	(Aeroacoustics and atmospheric sound)
	43.35.+d	(Ultrasonics, quantum acoustics, and physical effects of sound)
	43.38.+n	(Transduction; acoustical devices for the generation and reproduction of sound)

Fund: Project supported by the National Key Research and Development Program of China (Grant No. 2022YFA1404402), the National Natural Science Foundation of China (Grant Nos. 12174190, 11634006, 12074286, and 81127901), the High-Performance Computing Center of Collaborative Innovation Center of Advanced Microstructures, and the the Priority Academic Program Development of Jiangsu Higher Education Institutions.

Corresponding Authors: Bin Liang
E-mail: liangbin@nju.edu.cn

Cite this article:

Hao-Xiang Li(李澔翔), Yang Tan(谭杨), Jing Yang(杨京), and Bin Liang(梁彬) Theory of complex-coordinate transformation acoustics for non-Hermitian metamaterials 2023 Chin. Phys. B 32 094301

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Theory of complex-coordinate transformation acoustics for non-Hermitian metamaterials

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