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Sadreev, A. F.
Bound states in the continuum in zigzag quantum wire enforced by a finger gate / A. F. Sadreev, A. S. Pilipchuk // JETP Letters. - 2015. - Vol. 100, Is. 9. - P. 585-590, DOI 10.1134/S0021364014210139. - Cited References:41. - This work was supported by the Russian Foundation for Basic Research(project no. 14-12-00266). . - ISSN 0021. - ISSN 1090-6487. -

РУБ Physics, Multidisciplinary
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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Публикация на русском языке Садреев, Алмаз Фаттахович. Связанные состояния в континууме, инициированные потенциалом электрода в зигзагообразной квантовой проволоке [Текст] / А. Ф. Садреев, А. C. Пилипчук // Письма в Журн. эксперим. и теор. физ. - 2014. - Т. 100 Вып. 9-10. - С. 664– 669

Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Siberian Branch, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Krasnoyarsk 660080, Russia.

Доп.точки доступа:
Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Садреев, Алмаз Фаттахович; Russian Foundation for Basic Research [14-12-00266]
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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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    Sadreev, A. F.
    Gate controlled resonant widths in double-bend waveguides: bound states in the continuum / A. F. Sadreev, D. N. Maksimov, A. S. Pilipchuk // J. Phys.: Condens. Matter. - 2015. - Vol. 27, Is. 29. - Ст. 295303, DOI 10.1088/0953-8984/27/29/295303. - 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. . - ISSN 0953. - ISSN 1361-648X
   Перевод заглавия: Управление резонансными ширинами в двух-коленных волноводах: связанные состояния в континууме

РУБ Physics, Condensed Matter
Рубрики:
CIRCULAR BENDS
   NUCLEAR REACTIONS
   FANO RESONANCES
   UNIFIED THEORY
   QUANTUM
   TRANSMISSION
   TRANSPORT
   SYSTEMS
Кл.слова (ненормированные):
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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Держатели документа:
Russian Acad Sci, Siberian Branch, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Krasnoyarsk 660080, Russia.

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Садреев, Алмаз Фаттахович; Russian Science Foundation [14-12-00266]
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    Bound states in the continuum in open acoustic resonators / A. A. Lyapina [et al.] // J. Fluid Mech. - 2015. - Vol. 780. - P. 370-387, DOI 10.1017/jfm.2015.480. - Cited References: 48. - This work has been supported by Russian Science Foundation through grant 14-12-00266. . - ISSN 0022-1120
   Перевод заглавия: Связанное состояние в континууме в открытом акустическом резонаторе

РУБ Mechanics + Physics, Fluids & Plasmas
Рубрики:
TRAPPED MODES
   FANO RESONANCES
   COMPLEX RESONANCES
   PARALLEL PLATES
   SIDE-BRANCHES
   WAVE-GUIDES
   ABSORPTION
   TRANSPORT
   CHANNELS
   SYSTEM
Кл.слова (ненормированные):
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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Держатели документа:
L.V. Kirensky Institute of Physics, Krasnoyarsk, Russian Federation
Siberian Federal University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Lyapina, A. A.; Ляпина, Алина Андреевна; Maksimov, D. N.; Максимов, Дмитрий Николаевич; Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович
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Pilipchuk, A. S.
Accidental bound states in the continuum in an open Sinai billiard / A. S. Pilipchuk, A. F. Sadreev // Phys. Lett. A. - 2017. - Vol. 381, Is. 7. - P. 720-724, DOI 10.1016/j.physleta.2016.11.022. - Cited References: 35. - This work has been supported by Russian Science Foundation through grant 14-12-00266. We acknowledge discussions with D.N. Maksimov. . - ISSN 0375-9601
Кл.слова (ненормированные):
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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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russian Federation
Siberian Federal University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Пилипчук, Артем Сергеевич
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Sadreev, A. F.
Tuning of Fano resonances by rotation of continuum: Wave faucet / A. F. Sadreev, A. S. Pilipchuk, A. A. Lyapina // Europhys. Lett. - 2017. - Vol. 117, Is. 5. - Ст. 50011, DOI 10.1209/0295-5075/117/50011. - 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. . - ISSN 0295-5075. - ISSN 1286-4854

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

Доп.точки доступа:
Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Lyapina, A. A.; Ляпина, Алина Андреевна; Садреев, Алмаз Фаттахович; RFBR [17-02-00440]
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Lyapina, A. A.
Trapped modes in a non-axisymmetric cylindrical waveguide / A. A. Lyapina, A. S. Pilipchuk, A. F. Sadreev // J. Sound Vib. - 2018. - Vol. 421. - P. 48-60, DOI 10.1016/j.jsv.2018.01.056. - 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. . - ISSN 0022-460X
Кл.слова (ненормированные):
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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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Ляпина, Алина Андреевна
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Lyapina, A. A.
Bound states with orbital angular momentum in the continuum of cylindrical non-axisymmetric waveguide / A. A. Lyapina, A. S. Pilipchuk, A. F. Sadreev // Ann. Phys. - 2018. - Vol. 396. - P. 56-70, DOI 10.1016/j.aop.2018.05.020. - Cited References: 28. - This work has been supported by RFBR Grant 17-02-00440 . We thank D.N. Maksimov for discussions. . - ISSN 0003-4916
Кл.слова (ненормированные):
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 r
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Держатели документа:
Kirensky Institute of Physics, Academy of Sciences, Krasnoyarsk, Russian Federation
Siberian Federal University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Ляпина, Алина Андреевна
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Sadreev, A. F.
Tuning of fano resonance by waveguide rotation: Wave faucet and bound states in the continuum / A. Sadreev, A. S. Pilipchuk, A. A. Pilipchuk // 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. - 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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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Kamenetskii, E. \ed.\; Sadreev, A. F. \ed.\; Садреев, Алмаз Фаттахович; Miroshnichenko, A. \ed.\; Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Pilipchuk, A. A.; Пилипчук, Алина Андреевна
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10.

    Pilipchuk, A. S.
    Multi-channel bound states in the continuum in coaxial cylindrical waveguide / A. S. Pilipchuk, A. A. Pilipchuk, A. F. Sadreev // Phys. Scr. - 2019. - Vol. 94, Is. 11. - Ст. 115004, DOI 10.1088/1402-4896/ab1e9b. - Cited References: 22. - The reported study was funded by Russian Foundation for Basic Research (RFBR) according to the research project 18-32-00234. . - ISSN 0031-8949. - ISSN 1402-4896
Рубрики:
TRAPPED MODES
   ACOUSTIC RESONANCES
   PARALLEL PLATES
Кл.слова (ненормированные):
bound states in the continuum -- embedded trapped modes -- cylindrical resonator -- effective Hamiltonian
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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Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Pilipchuk, A. A.; Пилипчук, Алина Андреевна; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Пилипчук, Артем Сергеевич; Russian Foundation for Basic Research (RFBR)Russian Foundation for Basic Research (RFBR) [18-32-00234]
}
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