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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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Bulgakov, E. N.
Formation of bound states in the continuum for a quantum dot with variable width / E. . Bulgakov, A. . Sadreev // Phys. Rev. B. - 2011. - Vol. 83, Is. 23. - Ст. 235321, DOI 10.1103/PhysRevB.83.235321. - Cited References: 61 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
NUCLEAR REACTIONS
   RADIATION-FIELD
   UNIFIED THEORY
   WAVE-GUIDE
   TRANSMISSION
   SCATTERING
   BILLIARDS
   ELECTRON
Аннотация: We consider mechanisms of formation of the bound states in the continuum in open rectangular quantum dots with variable width. Because of symmetry there might be bound states in the continuum (BSCs) embedded into one, two, and three continua because of the symmetry of system. These BSCs arise for selected values of the width. We show numerically that the BSCs can be excited for transmission of wave packets if the quantum dot width is varied in time and reaches these selected values of dot width. Moreover, we consider numerically a decay process of different eigenstates in the closed quantum dot to show that some of them trap in the BSC after the quantum dot is opened.

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Держатели документа:
[Bulgakov, Evgeny
Sadreev, Almas] LV Kirenskii Inst Phys, RU-660036 Krasnoyarsk, Russia
[Bulgakov, Evgeny] Siberian State Aerosp Univ, Krasnoyarsk, Russia
ИФ СО РАН
Kirensky Institute of Physics, RU-660036, Krasnoyarsk, Russian Federation
Siberian State Aerospace University, Krasnoyarsk Rabochii, 31, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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Maksimov, D. N.
Statistics of nodal points of in-plane random waves in elastic media / D. N. Maksimov, A. F. Sadreev // Phys. Rev. E. - 2008. - Vol. 77, Is. 5. - Ст. 56204, DOI 10.1103/PhysRevE.77.056204. - Cited References: 39 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
PHASE SINGULARITIES
   SPECTRAL STATISTICS
   FIELDS
   BILLIARDS
   PATTERNS
Кл.слова (ненормированные):
Chaotic systems -- Correlation methods -- Navier Stokes equations -- Random processes -- Statistics -- Elastic media -- In-plane random waves -- Navier-Cauchy equations -- Nodal points (NP) -- Electromagnetic waves
Аннотация: We consider the nodal points (NPs) u=0 and v=0 of the in-plane vectorial displacements u=(u,v) which obey the Navier-Cauchy equation. Similar to the Berry conjecture of quantum chaos, we present the in-plane eigenstates of chaotic billiards as the real part of the superposition of longitudinal and transverse plane waves with random phases. By an average over random phases we derive the mean density and correlation function of NPs. Consequently we consider the distribution of the nearest distances between NPs.

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Держатели документа:
[Maksimov, Dmitrii N.
Sadreev, Almas F.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Institute of Physics, Academy of Sciences, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Максимов, Дмитрий Николаевич
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Chaotic waveguide-based resonators for microlasers / J. A. Mendez-Bermudez [et al.] // Phys. Rev. B. - 2003. - Vol. 67, Is. 16. - Ст. 161104, DOI 10.1103/PhysRevB.67.161104. - Cited References: 33 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
QUANTUM-CLASSICAL CORRESPONDENCE
   MORPHOLOGY-DEPENDENT RESONANCES
   DIRECTIONAL EMISSION
   OPTICAL CAVITIES
   MICRODISK LASERS
   WAVE CHAOS
   DROPLETS
   PRECESSION
   BILLIARDS
   STATES
Аннотация: We propose the construction of highly directional emission microlasers using two-dimensional high-index semiconductor waveguides as open resonators. The prototype waveguide is formed by two collinear leads connected to a cavity of certain shape. The proposed lasing mechanism requires that the shape of the cavity yield mixed chaotic ray dynamics so as to have the approplate (phase space) resonance islands. These islands allow, via Heisenberg's uncertainty principle, the appearance of quasibound states (QBSs) which, in turn, propitiate the lasing mechanism. The energy values of the QBSs are found through the solution of the Helmholtz equation. We use classical ray dynamics to predict the direction and intensity of the lasing produced by such open resonators for typical values of the index of refraction.

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Держатели документа:
Univ Autonoma Puebla, Inst Fis, Puebla 72570, Mexico
Univ Hradec Kralove, Dept Phys, Hradec Kralove, Czech Republic
Acad Sci Czech Republ, Inst Phys, Prague, Czech Republic
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Mendez-Bermudez, J. A.; Luna-Acosta, G. A.; Seba, P.; Pichugin, K. N.; Пичугин, Константин Николаевич
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Bound states in the continuum in open Aharonov-Bohm rings / E. N. Bulgakov [et al.] // JETP Letters. - 2006. - Vol. 84, Is. 8. - P. 430-435, DOI 10.1134/S0021364006200057. - Cited References: 33 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
WAVE-GUIDE
   QUANTUM
   TRANSMISSION
   SCATTERING
   BILLIARDS
   ELECTRON
Аннотация: Using the formalism of the effective Hamiltonian, we consider bound states in a continuum (BIC). They are nonhermitian effective Hamiltonian eigenstates that have real eigenvalues. It is shown that BICs are orthogonal to open channels of the leads, i.e., disconnected from the continuum. As a result, BICs can be superposed to a transport solution with an arbitrary coefficient and exist in a propagation band. The one-dimensional Aharonov-Bohm rings that are opened by attaching single-channel leads to them allow exact consideration of BICs. BICs occur at discrete values of the energy and magnetic flux; however, it's realization strongly depends on the way to the BIC point.

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Держатели документа:
Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
ИФ СО РАН
Institute of Physics, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Max-Planck-Institut fur Physik Komplexer Systeme, D-01187 Dresden, Germany

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Rotter, I.
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Bulgakov, E. N.
Phase rigidity and avoided level crossings in the complex energy plane / E. N. Bulgakov, I. . Rotter, A. F. Sadreev // Phys. Rev. E. - 2006. - Vol. 74, Is. 5. - Ст. 56204, DOI 10.1103/PhysRevE.74.056204. - Cited References: 40 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
OPEN QUANTUM-SYSTEMS
   FANO RESONANCES
   S-MATRIX
   DOT
   CONTINUUM
   TRANSMISSION
   COHERENCE
   TRANSPORT
   BILLIARDS
   PROBE
Кл.слова (ненормированные):
Eigenvalues and eigenfunctions -- Hamiltonians -- Resonance -- Rigidity -- Semiconductor quantum dots -- Biorthogonal eigenfunctions -- Open quantum system -- Phase rigidity -- Quantum theory
Аннотация: We consider the effective Hamiltonian of an open quantum system, its biorthogonal eigenfunctions phi(lambda), and define the value r(lambda)=(phi(lambda)parallel to phi(lambda))/ that characterizes the phase rigidity of the eigenfunctions phi(lambda). In the scenario with avoided level crossings, r(lambda) varies between 1 and 0 due to the mutual influence of neighboring resonances. The variation of r(lambda) is an internal property of an open quantum system. In the literature, the phase rigidity rho of the scattering wave function Psi(E)(C) is considered. Since Psi(E)(C) can be represented in the interior of the system by the phi(lambda), the phase rigidity rho of the Psi(E)(C) is related to the r(lambda) and therefore also to the mutual influence of neighboring resonances. As a consequence, the reduction of the phase rigidity rho to values smaller than 1 should be considered, at least partly, as an internal property of an open quantum system in the overlapping regime. The relation to measurable values such as the transmission through a quantum dot, follows from the fact that the transmission is, in any case, resonant at energies that are determined by the real part of the eigenvalues of the effective Hamiltonian. We illustrate the relation between phase rigidity rho and transmission numerically for small open cavities.

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Держатели документа:
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
ИФ СО РАН
Max-Planck-Institut fur Physik Komplexer Systeme, D-01187 Dresden, Germany
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation
Department of Physics and Measurement, Technology Linkoping University, S-581 83 Linkoping, Sweden

Доп.точки доступа:
Rotter, I.; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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Bulgakov, E. N.
Spectroscopic properties of large open quantum-chaotic cavities with and without separated time scales / E. N. Bulgakov, I. . Rotter // Phys. Rev. E. - 2006. - Vol. 73, Is. 6. - Ст. 66222, DOI 10.1103/PhysRevE.73.066222. - Cited References: 24 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
HELMHOLTZ EQUATION
   SYSTEMS
   DYNAMICS
   STATES
   TRANSMISSION
   BILLIARDS
Кл.слова (ненормированные):
Hamiltonians -- Numerical analysis -- Phase control -- Quantum theory -- Spectroscopic analysis -- Wave transmission -- Bunimovich cavity -- Hamiltonian formalism -- Phase rigidity -- Quantum-chaotic cavities -- Cavity resonators
Аннотация: The spectroscopic properties of an open large Bunimovich cavity are studied numerically in the framework of the effective Hamiltonian formalism. The cavity is opened by attaching two leads to it in four different ways. In some cases, the transmission takes place via standing waves with an intensity that closely follows the profile of the resonances. In other cases, short-lived and long-lived resonance states coexist. The short-lived states cause traveling waves in the transmission while the long-lived ones generate superposed fluctuations. The traveling waves oscillate as a function of energy. They are not localized in the interior of the large chaotic cavity. In all considered cases, the phase rigidity fluctuates with energy. It is mostly near to its maximum value and agrees well with the theoretical value for the two-channel case.

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Держатели документа:
Kirensky Inst Phys, Krasnoyarsk 660036, Russia
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
ИФ СО РАН
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation
Max Planck Institute for the Physics of Complex Systems, D-01187 Dresden, Germany

Доп.точки доступа:
Rotter, I.; Булгаков, Евгений Николаевич
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