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    Coupled mode theory for acoustic resonators / D. N. Maksimov [et al.] // Wave Motion. - 2015. - Vol. 56. - P. 52-66, DOI 10.1016/j.wavemoti.2015.02.003. - Cited References:42. - We thank K.N. Pichugin for helpful discussions. The work was supported by grant 14-12-00266 from Russian Science Foundation. . - ISSN 0165. - ISSN 1878-433X
   Перевод заглавия: Теория связанных мод для акустических резонаторов
Рубрики:
WAVE-GUIDES
   TRAPPED MODES
   DISCONTINUITIES
   TRANSMISSION
   BILLIARDS
Кл.слова (ненормированные):
Coupled mode theory -- Non-Hermitian Hamiltonian -- Acoustic resonator -- s-matrix
Аннотация: We develop the effective non-Hermitian Hamiltonian approach for open systems with Neumann boundary conditions. The approach can be used for calculating the scattering matrix and the scattering function in open resonator–waveguide systems. In higher than one dimension the method represents acoustic coupled mode theory in which the scattering solution within an open resonator is found in the form of expansion over the eigenmodes of the closed resonator decoupled from the waveguides. The problem of finding the transmission spectra is reduced to solving a set of linear equations with a non-Hermitian matrix whose anti-Hermitian term accounts for coupling between the resonator eigenmodes and the scattering channels of the waveguides. Numerical applications to acoustic two-, and three-dimensional resonator–waveguide problems are considered.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660080, Russia

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Lyapina, A. A.; Ляпина, Алина Андреевна; Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Russian Science Foundation [14-12-00266]
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Nesterov, A. I.
Geometric phases and quantum phase transitions in open systems / A. I. Nesterov, S. G. Ovchinnikov // Phys. Rev. E. - 2008. - Vol. 78, Is. 1. - Ст. 15202, DOI 10.1103/PhysRevE.78.015202. - Cited References: 29 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
POINTS
DEGENERACIES
Кл.слова (ненормированные):
Chlorine compounds -- Electron tunneling -- Ferromagnetism -- Ising model -- Magnetic fields -- Magnetism -- Open systems -- Quantum electronics -- Quantum optics -- Sedimentation -- Effective Hamiltonian -- Eigenvalues -- First orders -- Geometric phase -- Geometric phases -- Ground-state -- Hermitian -- One-dimensional -- Open quantum systems -- Quantum phase transition -- Quantum phase transitions -- Transverse-magnetic fields -- Phase transitions
Аннотация: The relationship is established between quantum phase transitions and complex geometric phases for open quantum systems governed by a non-Hermitian effective Hamiltonian with accidental crossing of the eigenvalues. In particular, the geometric phase associated with the ground state of the one-dimensional dissipative Ising model in a transverse magnetic field is evaluated, and it is demonstrated that the related quantum phase transition is of the first order.

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Держатели документа:
[Nesterov, Alexander I.] Univ Guadalajara, CUCEI, Dept Fis, Guadalajara 44420, Jalisco, Mexico
[Ovchinnikov, S. G.] SB RAS, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
[Ovchinnikov, S. G.] Siberian Fed Univ, Krasnoyarsk 660041, Russia
ИФ СО РАН
Departamento de Fisica, CUCEI, Universidad de Guadalajara, Av. Revolucion 1500, Guadalajara, Codigo Postal 44420, Jalisco, Mexico
L. V. Kirensky Institute of Physics, SB, RAS, 660036 Krasnoyarsk, Russian Federation
Siberian Federal University, 660041, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Ovchinnikov, S. G.; Овчинников, Сергей Геннадьевич
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Pilipchuk, A. S.
Bound states in the continuum in open spherical resonator / A. S. Pilipchuk, A. A. Pilipchuk, A. F. Sadreev // Phys. Scr. - 2020. - Vol. 95, Is. 8. - Ст. 085002, DOI 10.1088/1402-4896/ab99fb. - Cited References: 33 . - ISSN 0031-8949
Кл.слова (ненормированные):
Bound states in the continuum -- effective non-Hermitian Hamiltonian -- acoustic resonator -- trapped modes
Аннотация: We consider the bound states in the continuum (BICs) or embedded trapped modes in an open spherical acoustic resonator. The eigenfrequencies of closed resonator are 2l+1-fold degenerated, where l is the orbital index. An attachment of two cylindrical waveguides lifts this degeneracy and transforms the eigenfrequencies into resonances whose real parts depend on the position of the waveguides. When the waveguides are angled by θ ≠ π, variation over that angle gives rise to avoided crossings of resonant modes with different l to result in the Friedrich-Wintgen BICs. For θ = π there might be only the symmetry protected BICs. When three waveguides are connected to the spherical resonator the Friedrich-Wintgen BICs occur due to the avoided crossings of resonant modes with the same l but different azimuthal indices -l ≤ m ≤ l.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Pilipchuk, A. A.; Пилипчук, Алина Андреевна; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Пилипчук, Артем Сергеевич
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Sadreev, A. F.
Interference traps waves in an open system: bound states in the continuum / A. F. Sadreev // Rep. Prog. Phys. - 2021. - Vol. 84, Is. 5. - Ст. 055901, DOI 10.1088/1361-6633/abefb9. - Cited References: 154. - The work was partially supported by Russian Foundation for Basic Research Projects No. 19-02-00055 . - ISSN 0034-4885. - ISSN 1361-6633

РУБ Physics, Multidisciplinary
Рубрики:
FANO RESONANCES
   2ND-HARMONIC GENERATION
   QUANTUM-SYSTEMS
   UNIFIED THEORY
Кл.слова (ненормированные):
bound states in the continuum -- wave localization in one-dimensional wires -- open microwave and acoustic resonators -- effective non Hermitian Hamiltonian
Аннотация: I review the four mechanisms of bound states in the continuum (BICs) in the application of microwave and acoustic cavities open to directional waveguides. The most simple are symmetry-protected BICs, which are localized inside the cavity because of the orthogonality of the eigenmodes to the propagating modes of waveguides. However, the most general and interesting is the Friedrich-Wintgen mechanism, when the BICs are the result of the fully destructive interference of outgoing resonant modes. The third type of BICs, Fabry-Perot BICs, occurs in a double resonator system when each resonator can serve as an ideal mirror. Finally, the accidental BICs can be realized in the open cavities with no symmetry like the open Sinai billiard in which the eigenmode of the resonator can become orthogonal to the continuum of the waveguide accidentally due to a smooth deformation of the eigenmode. We also review the one-dimensional systems in which the BICs occur owing to the fully destructive interference of two waves separated by spin or polarization or by paths in the Aharonov-Bohm rings. We make broad use of the method of effective non-Hermitian Hamiltonian equivalent to the coupled mode theory, which detects BICs by finding zero-width resonances.

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Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Садреев, Алмаз Фаттахович; Russian Foundation for Basic Research Projects [19-02-00055]
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General framework of bound states in the continuum in an open acoustic resonator / L. Huang, B. Jia, A. S. Pilipchuk [et al.] // Phys. Rev. Appl. - 2022. - Vol. 18, Is. 5. - Ст. 054021, DOI 10.1103/PhysRevApplied.18.054021. - Cited References: 47. - L.H. and A.E.M. are supported by the Australian Research Council Discovery Project (Grant No. DP200101353) and the UNSW Scientia Fellowship program. Y.K.C. and D.A.P. are supported by the Australian Research Council Discovery Project (Grant No. DP200101708). B.J., S.H., and Y.L. are supported by the National Natural Science Foundation of China (Grant No. 12074286) and the Shanghai Science and Technology Committee (Grant No. 21JC1405600). A.P., E.B., and A.S. are supported by the Russian Science Foundation (Grant No. 22-12-00070) . - ISSN 2331-7019
Кл.слова (ненормированные):
Acoustic resonators -- Acoustic waveguides -- Bound-states -- Coupled waveguide resonators -- Degenerate modes -- Eigen modes -- General method -- High-Q resonances -- Momentum spaces -- Non-Hermitian Hamiltonians -- Waveguide-resonators -- Waveguide filters
Аннотация: Bound states in the continuum (BICs) provide a viable way of achieving high-Q resonances in both photonics and acoustics. In this work, we propose a general method of constructing Friedrich-Wintgen (FW) BICs and accidental BICs in a coupled acoustic waveguide-resonator system. We demonstrate that FW BICs can be achieved with arbitrary two degenerate resonances in a closed resonator, regardless of whether they have the same or opposite parity. Moreover, their eigenmode profiles can be arbitrarily engineered by adjusting the position of the attached waveguide. This suggests an effective way of continuously switching the nature of the BICs from FW BICs to symmetry-protected BICs or accidental BICs. Also, such BICs are sustained in the coupled waveguide-resonator system with shapes such as rectangles, ellipses, and rhomboids. These interesting phenomena are well explained by the two-level effective non-Hermitian Hamiltonian, where two strongly coupled degenerate modes play a major role in forming such FW BICs. Additionally, we find that such an open system also supports accidental BICs in geometry space instead of momentum space via tuning the position of the attached waveguide, which is attributed to the quenched coupling between the waveguide and eigenmodes of the closed cavity. Finally, we fabricate a series of three-dimensional coupled resonator waveguides and experimentally verify the existence of FW BICs and accidental BICs by measuring the transmission spectra. Our results complement the current BIC library in acoustics and provide nice routes for designing acoustic devices, such as acoustic absorbers, filters, and sensors.

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Держатели документа:
School of Engineering and Information Technology, University of New South Wales, Northcott Drive, Canberra, ACT 2600, Australia
Institute of Acoustics, Tongji University, Shanghai, 200092, China
L. V. Kirensky Institute of Physics, Federal Research Center KSC Siberian Branch, RAN, Krasnoyarsk, 660036, Russian Federation
Department of Electrical and Computer Engineering, Duke University, Durham, NC 27708, United States
Department of Mechanical Engineering, Rowan University, Glassboro, NJ 08028, United States

Доп.точки доступа:
Huang, L.; Jia, B.; Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Chiang, Y.; Huang, S.; Li, J.; Shen, C.; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Deng, F.; Powell, D. A.; Cummer, S. A.; Li, Y.; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Miroshnichenko, A. E.
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Acoustic resonances in non-Hermitian open systems / L. Huang, S. Huang, Ch. Shen [et al.] // Nat. Rev. Phys. - 2024. - Vol. 6, Is. 1. - P. 11-27, DOI 10.1038/s42254-023-00659-z. - Cited References: 288. - L.H. and A.E.M. were supported by the Australian Research Council Discovery Project (DP200101353) and the UNSW Scientia Fellowship programme. S.H. and Y.L. were supported by the Shanghai Science and Technology Committee (grant nos. 21JC1405600). C.S. was supported by the US National Science Foundation under grant no. CMMI-2137749. S.Y., X.N., S.K. and A.A. were supported by the Air Force Office of Scientific Research and Simons Foundation. A.S.P and A.F.S acknowledge the state assignment of Kirensky Institute of Physics. Y.K.C. and D.A.P. were supported by the Australian Research Council Discovery Project (grant no. DP200101708) . - ISSN 2522-5820
Аннотация: Acoustic resonances in open systems, which are usually associated with resonant modes characterized by complex eigenfrequencies, play a fundamental role in manipulating acoustic wave radiation and propagation. Notably, they are accompanied by considerable field enhancement, boosting interactions between waves and matter, and leading to various exciting applications. In the past two decades, acoustic metamaterials have enabled a high degree of control over tailoring acoustic resonances over a range of frequencies. Here, we provide an overview of recent advances in the area of acoustic resonances in non-Hermitian open systems, including Helmholtz resonators, metamaterials and metasurfaces, and discuss their applications in various acoustic devices, including sound absorbers, acoustic sources, vortex beam generation and imaging. We also discuss bound states in the continuum and their applications in boosting acoustic wave–matter interactions, active phononics and non-Hermitian acoustic resonances, including phononic topological insulators and the acoustic skin effect.

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Держатели документа:
The Extreme Optoelectromechanics Laboratory (XXL), School of Physics and Electronic Sciences, East China Normal University, Shanghai, China
Institute of Acoustics, Tongji University, Shanghai, China
Department of Mechanical Engineering, Rowan University, Glassboro, NJ, USA
Photonics Initiative, Advanced Science Research Center, City University of New York, New York, NY, USA
L. V. Kirensky Institute of Physics, Krasnoyarsk, Russia
School of Engineering and Technology, University of New South Wales, Canberra, Australian Capital Territory, Australia
Physics Program, Graduate Center, City University of New York, New York, NY, USA

Доп.точки доступа:
Huang, Lujun; Huang, Sibo; Shen, Chen; Yves, Simon; Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Ni, Xiang; Kim, Seunghwi; Chiang, Yan Kei; Powell, David A.; Zhu, Jie; Cheng, Ya; Li, Yong; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Alu, Andrea; Miroshnichenko, Andrey E.
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