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    Bulgakov, E. N.
    Bloch bound states in the radiation continuum in a periodic array of dielectric rods / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. A. - 2014. - Vol. 90, Is. 5. - Ст. 53801, DOI 10.1103/PhysRevA.90.053801. - Cited References: 35. - The work was supported by the Russian Science Foundation through Grant No. 14-12-00266. We acknowledge discussions with D. N. Maksimov. . - ISSN 1050-2947. - ISSN 1094-1622
   Перевод заглавия: Блоховские связанные состояния в радиационном континууме в периодической цепи диэлеткрических стержней

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
WAVE-GUIDE
   SCATTERING
   CYLINDERS
   CHANNEL
Аннотация: We consider an infinite periodic array of dielectric rods in vacuum with the aim to demonstrate three types of Bloch bound states in the continuum (BSCs): symmetry protected with a zero Bloch vector, embedded in one diffraction channel with nonzero Bloch vector, and embedded in two and three diffraction channels. The first and second types of the BSC exist for a wide range of material parameters of the rods, while the third occurs only at a specific value of the radius of the rods. We show that the second type supports the power flux along the array. In order to find BSCs we put forward an approach based on the expansion over the Hankel functions. We show how the BSC reveals itself in the scattering function when the singular BSC point is approached along a specific path in the parametric space.

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Доп.точки доступа:
Sadreev, E. N.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Russian Science Foundation [14-12-00266]
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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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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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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.
Bound States in Photonic Fabry-Perot Resonator Comprised of Two Nonlinear Off-Channel Defects / E. N. Bulgakov, A. F. Sadreev // JETP Letters. - 2009. - Vol. 90, Is. 12. - P. 744-749, DOI 10.1134/S0021364009240023. - Cited References: 32. - We thank Kostya Pichugin for many helpful discussions. The work was partially supported by the Russian Foundation for Basic Research, project no. 09-02-98005-Siberia. . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
SCATTERING-THEORY
   WAVE-GUIDE
   CONTINUUM
   MODES
Аннотация: Two off-channel nonlinear defects coupled to the photonic waveguide constitute the Fabry-Perot interfer-ometer (FPR). The defects are made from a Kerr-like nonlinear material. For the linear case such a FPR can support the bound states in the form of standing waves between the defects if the distance between them is quantized. For the nonlinear case the bound states appear for arbitrary distance between the defects however for an quantized electromagnetic intensity. For the transmission through FPR we reveal new resonances and show these are a result of coupling of the bound states with incident wave because of nonlinearity of the defects. The resonances are spaced at the eigen frequencies of bound states.

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Держатели документа:
[Bulgakov, E. N.
Sadreev, A. F.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
[Bulgakov, E. N.] Siberian State Aerosp Univ, Krasnoyarsk, Russia
ИФ СО РАН
Institute of Physics, Academy of Sciences, Krasnoyarsk 660036, Russian Federation
Siberian State Aerospace University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Russian Foundation for Basic Research [09-02-98005-Siberia]
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    Bulgakov, E. N.
    Nonlinear response from optical bound states in the continuum / E. N. Bulgakov, D. N. Maksimov // Sci Rep. - 2019. - Vol. 9. - Ст. 7153, DOI 10.1038/s41598-019-43672-y. - Cited References: 48. - This work was supported by Ministry of Education and Science of Russian Federation (state contract N 3.1845.2017/4.6). We appreciate discussions with Ya Yan Lu, Lijun Yuan, Andrey M. Vyunishev, and Ivan V. Timofeev. . - ISSN 2045-2322
   Перевод заглавия: Нелинейный отклик, индуцированный оптическими связанными состояниями в континууме

РУБ Multidisciplinary Sciences
Рубрики:
WAVE-GUIDE
   WAVELENGTH
   RESONANCES
   SILICON
   LIGHT
Аннотация: We consider nonlinear effects in scattering of light by a periodic structure supporting optical bound states in the continuum. In the spectral vicinity of the bound states the scattered electromagnetic field is resonantly enhanced triggering optical bistability. Using coupled mode approach we derive a nonlinear equation for the amplitude of the resonant mode associated with the bound state. We show that such an equation for the isolated resonance can be easily solved yielding bistable solutions which are in quantitative agreement with the full-wave solutions of Maxwell's equations. The coupled mode approach allowed us to cast the the problem into the form of a driven nonlinear oscillator and analyze the onset of bistability under variation of the incident wave. The results presented drastically simplify the analysis nonlinear Maxwell's equations and, thus, can be instrumental in engineering optical response via bound states in the continuum.

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Держатели документа:
Reshetnev Siberian State Univ Sci & Technol, Krasnoyarsk 660037, Russia.
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Krasnoyarsk 660041, Russia.

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Булгаков, Евгений Николаевич; Ministry of Education and Science of Russian Federation [N 3.1845.2017/4.6]
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Maksimov, D. N.
Optical bistability with bound states in the continuum in dielectric gratings / D. N. Maksimov, A. A. Bogdanov, E. N. Bulgakov // Phys. Rev. A. - 2020. - Vol. 102, Is. 3. - Ст. 033511, DOI 10.1103/PhysRevA.102.033511. - Cited References: 53. - This work was financially supported by the Government of the Russian Federation through the ITMO Fellowship and Professorship Program. A.A.B. also acknowledges support by the Ministry of Science and Higher Education of Russian Federation, goszadanie No. 2019-1246 and RFBR (18-32-20205) . - ISSN 2469-9926. - ISSN 2469-9934

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
COUPLED-MODE THEORY
   WAVE-GUIDE
   TRANSITION
   RESONANCE
   ARRAYS
Аннотация: We consider light scattering by dielectric gratings supporting optical bound states in the continuum. Due to the presence of instantaneous Kerr nonlinearity critical field enhancement in the spectral vicinity of the bound state triggers the effect of optical bistability. The onset of bistability is explained theoretically in the framework of the temporal coupled-mode theory. As the central result we cast the problem in the form of a single field-driven nonlinear oscillator. The theoretical results are verified in comparison with numerical simulations.

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Держатели документа:
Siberian Fed Univ, Krasnoyarsk 660041, Russia.
RAS, Fed Res Ctr KSC SB, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
ITMO Univ, Dept Phys & Engn, St Petersburg 191002, Russia.
Reshetnev Siberian State Univ Sci & Technol, Krasnoyarsk 660037, Russia.

Доп.точки доступа:
Bogdanov, A. A.; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Максимов, Дмитрий Николаевич; Government of the Russian Federation through the ITMO Fellowship; Ministry of Science and Higher Education of Russian Federation, goszadanie [2019-1246]; RFBRRussian Foundation for Basic Research (RFBR) [18-32-20205]
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