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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Maksimov D. N., Sadreev A. F., Lyapina A. A., Pilipchuk A. S.
Заглавие : Coupled mode theory for acoustic resonators
Коллективы : Russian Science Foundation [14-12-00266]
Место публикации : Wave Motion: Elsevier Science, 2015. - Vol. 56. - P.52-66. - ISSN 0165, DOI 10.1016/j.wavemoti.2015.02.003. - ISSN 1878433X(eISSN)
Примечания : Cited References:42. - We thank K.N. Pichugin for helpful discussions. The work was supported by grant 14-12-00266 from Russian Science Foundation.
Предметные рубрики: WAVE-GUIDES
TRAPPED MODES
DISCONTINUITIES
TRANSMISSION
BILLIARDS
Ключевые слова (''Своб.индексиров.''): 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lyapina A. A., Maksimov D. N., Pilipchuk A. S., Sadreev A. F.
Заглавие : Bound states in the continuum in open acoustic resonators
Место публикации : J. Fluid Mech. - 2015. - Vol. 780. - P.370-387. - ISSN 0022-1120, DOI 10.1017/jfm.2015.480
Примечания : Cited References: 48. - This work has been supported by Russian Science Foundation through grant 14-12-00266.
Предметные рубрики: TRAPPED MODES
FANO RESONANCES
COMPLEX RESONANCES
PARALLEL PLATES
SIDE-BRANCHES
WAVE-GUIDES
ABSORPTION
TRANSPORT
CHANNELS
SYSTEM
Ключевые слова (''Своб.индексиров.''): aeroacoustics--noise control--wave scattering
Аннотация: We consider bound states in the continuum (BSCs) or embedded trapped modes in two- and three-dimensional acoustic axisymmetric duct-cavity structures. We demonstrate numerically that, under variation of the length of the cavity, multiple BSCs occur due to the Friedrich-Wintgen two-mode full destructive interference mechanism. The BSCs are detected by tracing the resonant widths to the points of the collapse of Fano resonances where one of the two resonant modes acquires infinite life-time. It is shown that the approach of the acoustic coupled mode theory cast in the truncated form of a two-mode approximation allows us to analytically predict the BSC frequencies and shape functions to a good accuracy in both two and three dimensions. © 2015 Cambridge University Press.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sadreev A. F., Bulgakov E. N., Rotter I.
Заглавие : Trapping of an electron in the transmission through two quantum dots coupled by a wire
Место публикации : JETP Letters. - 2005. - Vol. 82, Is. 8. - P.498-503. - ISSN 0021-3640, DOI 10.1134/1.2150869
Примечания : Cited References: 32
Предметные рубрики: NUCLEAR REACTIONS
CIRCULAR BENDS
UNIFIED THEORY
WAVE-GUIDES
S-MATRIX
STATES
BILLIARD
SYSTEMS
Аннотация: We consider single-channel transmission through a double quantum dot that consists of two identical single dots coupled by a wire. The numerical solution for the scattering wave function shows that the resonance width of a few of the states may vanish when the width (or length) of the wire and the energy of the incident particle each take a certain value. In such a case, a particle is trapped inside the wire as the numerical visualization of the scattering wave function shows. To understand these numerical results, we explore a simple model with a small number of states, which allows us to consider the problem analytically. If the eigenenergies of the closed system cross the energies of the transmission zeroes, the wire effectively decouples from the rest of the system and traps the particle. (C) 2005 Pleiades Publishing, Inc.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Spin rotation for ballistic electron transmission induced by spin-orbit interaction
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2002. - Vol. 66, Is. 7. - Ст.75331. - ISSN 1098-0121, DOI 10.1103/PhysRevB.66.075331
Примечания : Cited References: 18
Предметные рубрики: 2-DIMENSIONAL ELECTRONS
WAVE-GUIDES
TRANSPORT
Аннотация: We study spin-dependent electron transmission through one- and two-dimensional curved waveguides and quantum dots with account of spin-orbit interaction. We prove that for a transmission through an arbitrary structure there is no spin polarization provided the electron transmits in an isolated energy subband and only two leads are attached to the structure. In particular there is no spin polarization in the one-dimensional wire, for which a spin-dependent solution is found analytically. The solution demonstrates the spin evolution as dependent on a length of wire. The numerical solution for transmission of electrons through the two-dimensional curved waveguides coincides with the solution for the one-dimensional wire if the energy of electron is within the first energy subband. In the vicinity of edges of the energy subbands there are sharp anomalies of spin flipping.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Ponomarev A. V.
Заглавие : Optical chaos in nonlinear photonic crystals
Место публикации : JETP Letters. - 2002. - Vol. 75, Is. 4. - P.174-178. - ISSN 0021-3640, DOI 10.1134/1.1475717
Примечания : Cited References: 34
Предметные рубрики: POLED LITHIUM-NIOBATE
3RD-HARMONIC GENERATION
WAVE-GUIDES
SUPERLATTICES
CHI((2))
Аннотация: We examine the spatial evolution of lightwaves in a nonlinear photonic crystal with a quadratic nonlinearity, when a second harmonic and a sum-frequency generation are simultaneously quasi-phase-matched. We find the conditions for a transition to Hamiltonian chaos for different amplitudes of lightwaves at the crystal boundary. (C) 2002 MAIK "Nauka/ Interperiodica".
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Jauho A. P., Pichugin K. N., Sadreev A. F.
Заглавие : Simulations of interference effects in gated two-dimensional ballistic electron systems
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1999. - Vol. 60, Is. 11. - P8191-8198. - ISSN 0163-1829, DOI 10.1103/PhysRevB.60.8191
Примечания : Cited References: 26
Предметные рубрики: CIRCULAR BENDS
WAVE-GUIDES
QUANTUM
CONDUCTANCE
FLOW
GAS
Аннотация: We present detailed simulations addressing recent electronic interference experiments,where a metallic gate is used to locally modify the Fermi wavelength of the charge carriers. Our numerical calculations are based on a solution of the one-particle Schrodinger equation for a realistic model of the actual sample geometry, including a Poison equation-based determination of the potential due to the gate. The conductance is determined with the multiprobe Landauer-Buttiker formula, and in general we find conductance vs gate voltage characteristics, which closely resemble the experimental traces. A detailed examination based on quantum-mechanical streamlines suggests that the simple one-dimensional semiclassical model often used to describe the experiments has only a limited range of validity, and that certain ''unexpected" periodicities should not be assigned any particular significance, they arise due to the complicated multiple scattering processes occurring in certain sample geometries.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Exner P., Seba P., Sadreev A. F., Streda P., Feher P.
Заглавие : Strength of topologically induced magnetic moments in a quantum device
Место публикации : Phys. Rev. Lett.: AMERICAN PHYSICAL SOC, 1998. - Vol. 80, Is. 8. - P1710-1713. - ISSN 0031-9007, DOI 10.1103/PhysRevLett.80.1710
Примечания : Cited References: 13
Предметные рубрики: WAVE-GUIDES
STATES
FLOW
Аннотация: We consider resonant vortices around nodal points of the wave function describing electron transport through a mesoscopic der-ice. With a suitable choice of the device geometry. the dominating role is played of single vortices with a preferred orientation. To characterize the strength of the resulting magnetic moment, we have introduced a "magnetance," the quantity defined in analogy with the device conductance. Its basic properties and possible experimental detection are discussed. [S0031-9007(97)05255-1].
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