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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sadreev A. F., Pilipchuk A. S.
Заглавие : Bound states in the continuum in zigzag quantum wire enforced by a finger gate
Коллективы : Russian Foundation for Basic Research [14-12-00266]
Место публикации : JETP Letters. - 2015. - Vol. 100, Is. 9. - P.585-590. - ISSN 0021, DOI 10.1134/S0021364014210139. - ISSN 10906487(eISSN)
Примечания : Cited References:41. - This work was supported by the Russian Foundation for Basic Research(project no. 14-12-00266).
Предметные рубрики: WAVE-GUIDE
DOUBLE-BEND
SYSTEMS
TRANSMISSION
RESONANCES
ELECTRON
Аннотация: We consider electron transport in a zigzag quantum wire by the effect of finger gate potential. Using a non-Hermitian effective Hamiltonian, we calculate resonance positions and widths to show that the resonance widths are easily governed by the gate potential. In particular, the resonance width can be enforced to be equal to zero, which leads to an electron localization with the Fermi energy embedded in the propagation band of the wire, i.e., the bound state in the continuum (BSC). We show that, for positive values of the potential, a zigzag wire becomes a Fabry-Perot resonator to give rise to BSC too.
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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) : Sadreev A. F., Maksimov D. N., Pilipchuk A. S.
Заглавие : Gate controlled resonant widths in double-bend waveguides: bound states in the continuum
Коллективы : Russian Science Foundation [14-12-00266]
Место публикации : J. Phys.: Condens. Matter: IOP Publishing, 2015. - Vol. 27, Is. 29. - Ст.295303. - ISSN 0953, DOI 10.1088/0953-8984/27/29/295303. - ISSN 1361648X(eISSN)
Примечания : Cited References:52. - This work is supported by the Russian Science Foundation through Grant No. 14-12-00266. AS is grateful K-F Berggren for discussions.
Предметные рубрики: CIRCULAR BENDS
NUCLEAR REACTIONS
FANO RESONANCES
UNIFIED THEORY
QUANTUM
TRANSMISSION
TRANSPORT
SYSTEMS
Ключевые слова (''Своб.индексиров.''): double-bent waveguide--effective non-hermittian hamiltonian--bound--states in the continuum
Аннотация: We consider quantum transmission through double-bend Pi- and Z-shaped waveguides controlled by the finger gate potential. Using the effective non-Hermitian Hamiltonian approach we explain the resonances in transmission. We show a difference in transmission in the short waveguides that is the result of different chirality in Z and Pi waveguides. We demonstrate that the potential selectively affects the resonant widths resulting in the occurrence of bound states in the continuum.
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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) : Pilipchuk A. S., Sadreev A. F.
Заглавие : Accidental bound states in the continuum in an open Sinai billiard
Место публикации : Phys. Lett. A: Elsevier, 2017. - Vol. 381, Is. 7. - P.720-724. - ISSN 03759601 (ISSN), DOI 10.1016/j.physleta.2016.11.022
Примечания : Cited References: 35. - This work has been supported by Russian Science Foundation through grant 14-12-00266. We acknowledge discussions with D.N. Maksimov.
Ключевые слова (''Своб.индексиров.''): bound states in the continuum--open chaotic sinai billiard
Аннотация: The fundamental mechanism of the bound states in the continuum is the full destructive interference of two resonances when two eigenlevels of the closed system are crossing. There is, however, a wide class of quantum chaotic systems which display only avoided crossings of eigenlevels. As an example of such a system we consider the Sinai billiard coupled with two semi-infinite waveguides. We show that notwithstanding the absence of degeneracy bound states in the continuum occur due to accidental decoupling of the eigenstates of the billiard from the waveguides. © 2016 Elsevier B.V.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sadreev A. F., Pilipchuk A. S., Lyapina A. A.
Заглавие : Tuning of Fano resonances by rotation of continuum: Wave faucet
Коллективы : RFBR [17-02-00440]
Место публикации : Europhys. Lett. - 2017. - Vol. 117, Is. 5. - Ст.50011. - ISSN 0295-5075, DOI 10.1209/0295-5075/117/50011. - ISSN 1286-4854(eISSN)
Примечания : Cited References:35. - This work has been supported by RFBR through Grant 17-02-00440. The authors thank E. N. Bulgakov and D. N. Maksimov for helpful discussions.
Предметные рубрики: BOUND-STATES
TRAPPED MODES
ACOUSTIC RESONANCES
Аннотация: We consider wave transmission in a non-axisymmetric waveguide which consists of cylindrical resonator and two semi-infinite cylindrical waveguides whose axes are shifted relative to each other by azimuthal angle Δϕ. Although rotation by Δϕ does not change the eigenfrequency spectrum of the resonator, it effectively tunes the Fano resonances and respectively gives rise to an analog of a faucet opening and closing wave flux under rotation. Moreover, under the rotation of the waveguide and variation of the length of resonator, numerous events of the Fano resonance collapse occur to argue for the bound states in the continuum. In the nearest vicinity of the bound states scattering wave function with orbital angular momentum shows phase dislocations with giant vortical acoustic flows around.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lyapina A. A., Pilipchuk A. S., Sadreev A. F.
Заглавие : Trapped modes in a non-axisymmetric cylindrical waveguide
Место публикации : J. Sound Vib. - 2018. - Vol. 421. - P.48-60. - ISSN 0022460X (ISSN), DOI 10.1016/j.jsv.2018.01.056
Примечания : Cited References: 52. - This work has been supported by RFBR through Grant 17-02-00440. A.S. acknowledges discussions with E.N. Bulgakov, D.N. Maksimov, H. Schanz, P. Seba, L. Sirko, H.-J. Stöckmann and Shubo Wang.
Ключевые слова (''Своб.индексиров.''): trapped modes--cylindrical non-axisymmetric waveguide--waveguide rotation--wave faucet
Аннотация: We consider acoustic wave transmission in a non-axisymmetric waveguide which consists of a cylindrical resonator and two cylindrical waveguides whose axes are shifted relatively to each other by an azimuthal angle Δφ . Under variation of the resonator's length and fixed Δφ we find bound states in the continuum (trapped modes) due to full destructive interference of resonant modes leaking into the waveguides. Rotation of the waveguide adds complex phases to the coupling strengths of the resonator eigenmodes with the propagating modes of the waveguides tuning Fano resonances to give rise to a wave faucet. Under variation of Δφ with fixed resonator's length we find symmetry protected trapped modes. For Δφ ≠ 0 these trapped modes contribute to the scattering function supporting high vortical acoustic intensity spinning inside the resonator. The waveguide rotation brings an important feature to the scattering and provides an instrument for control of acoustic transmittance and wave trapping.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lyapina A. A., Pilipchuk A. S., Sadreev A. F.
Заглавие : Bound states with orbital angular momentum in the continuum of cylindrical non-axisymmetric waveguide
Место публикации : Ann. Phys. - 2018. - Vol. 396. - P.56-70. - ISSN 00034916 (ISSN), DOI 10.1016/j.aop.2018.05.020
Примечания : Cited References: 28. - This work has been supported by RFBR Grant 17-02-00440 . We thank D.N. Maksimov for discussions.
Ключевые слова (''Своб.индексиров.''): acoustic wave transmission--spinning trapped modes with orbital angular momentum
Аннотация: We consider acoustic wave transmission in a non-axisymmetric waveguide which consists of a cylindrical resonator of radius R and length L and two cylindrical waveguides of radius rR whose axes are shifted relative to the axis of the resonator and relative to each other by azimuthal angle Δϕ. We find multiple bound states in the continuum (trapped modes) with nonzero orbital angular momentum under variation of L due to full destructive interference of resonant modes leaking into waveguides. For Δφ₌π∕2 we find the degenerate bound states in the continuum whose contribution into the scattering wave function is complex and supports giant vortical acoustic intensity spinning inside the resonator.
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Вид документа : Статья из сборника (выпуск монографической серии)
Шифр издания :
Автор(ы) : Sadreev A. F., Pilipchuk A. S., Pilipchuk A. A.
Заглавие : Tuning of fano resonance by waveguide rotation: Wave faucet and bound states in the continuum
Место публикации : Fano Resonances in Optics and Microwaves: Physics and Applications/ ed.: E. Kamenetskii, A. Sadreev, A. Miroshnichenko: Springer, 2018. - Vol. 219. - P.497-525. - (Springer Series in Optical Sciences; Vol. 219). - , DOI 10.1007/978-3-319-99731-5_21
Примечания : Cited References: 52. - This work has been supported by RFBR through Grant 17-02-00440. A. S. acknowledges discussions with E. N. Bulgakov, D. N. Maksimov, H. Schanz, P. Seba, L. Sirko, H.-J. Stöckmann and Shubo Wang.
Аннотация: We consider acoustic wave transmission in a non-axisymmetric waveguide composed of a cylindrical resonator of radius R and length L and two cylindrical waveguides of radius rR. The center lines of the waveguides are shifted relative to the center line of the resonator by a distance r0 and relative to each other by an azimuthal angle Δϕ. Under variation of L and fixed Δϕ we find bound states in the continuum (trapped modes) due to full destructive interference of resonant modes leaking into waveguides. Rotation by the angle Δϕ brings complex phases into the coupling strengths of the resonator eigenmodes with propagating modes of the waveguides. As the result interference of neighboring resonances strongly depends on rotation of the waveguide introducing novel way for tuning Fano resonances. In turn rotation of the input waveguide strongly affect the acoustic transmission through the resonator imitating a faucet in wave transmission. Under variation of Δϕ and fixed L we find symmetry protected trapped modes. For Δϕ≠0 these trapped modes contribute to the scattering function supporting high vortical acoustic intensity spinning inside the resonator.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pilipchuk A. S., Pilipchuk A. A., Sadreev A. F.
Заглавие : Multi-channel bound states in the continuum in coaxial cylindrical waveguide
Коллективы : Russian Foundation for Basic Research (RFBR)Russian Foundation for Basic Research (RFBR) [18-32-00234]
Место публикации : Phys. Scr. - 2019. - Vol. 94, Is. 11. - Ст.115004. - ISSN 0031-8949, DOI 10.1088/1402-4896/ab1e9b. - ISSN 1402-4896(eISSN)
Примечания : Cited References: 22. - The reported study was funded by Russian Foundation for Basic Research (RFBR) according to the research project 18-32-00234.
Предметные рубрики: TRAPPED MODES
ACOUSTIC RESONANCES
PARALLEL PLATES
Аннотация: Bound states in the continuum (BICs) or embedded trapped modes are widely studied in different physical systems. The studies are restricted to a single open scattering channel. In the present paper we consider BICs embedded into several continua in a cylindrical resonator opened by two coaxially attached cylindrical waveguides with different radii. We demonstrate that engineering the BICs requires a degeneracy of three eigenmodeds of the closed resonator. That is achieved by variation of both the length and the radius of the resonator.
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