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   В37
   Б 90

    Булгаков, Евгений Николаевич.
    Квантовый транспорт в микроструктурах под воздействием переменного поля и спин-орбитального взаимодействия [Рукопись] : дис. на соиск. уч. степени д-ра физ.-мат. наук : 01.04.07 / Е. Н. Булгаков ; Рос. акад. наук, Сиб. отд-ние, Ин-т физики им. Л.В. Киренского. - Красноярск, 2008. - 309 с. - Библиогр.: 266 назв. -

ГРНТИ

29.19.22

29.19.24

29.19.37

ББК В373я031

Держатели документа:
Библиотека Института физики им. Л. В. Киренского СО РАН
Доп.точки доступа:
Bulgakov, E. N.; Российская академия наукСибирское отделение РАН; Институт физики им. Л.В. Киренского Сибирского отделения РАН
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   В37
   Б 90

    Булгаков, Евгений Николаевич.
    Фазовые переходы и динамика квантовых магнетиков с конкурирующей анизотропией и конкурирующими взаимодействиями [Рукопись] : дис. на соиск. уч. степени канд. физ.-мат. наук : 01.04.07 : защищена 29.03.1990 / Е. Н. Булгаков ; науч. рук. А. Ф. Садреев ; Акад. наук СССР, Сиб. отд-ние, Ин-т физики им. Л.В. Киренского. - Красноярск, 1989. - 131 с. - Библиогр.: 130 назв. -

ГРНТИ

29.19.37

ББК В371.13я031

Держатели документа:
Библиотека Института физики им. Л. В. Киренского СО РАН
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Садреев, Алмаз Фаттахович \науч. рук.\; Sadreev A.F.; Bulgakov E.N.; Академия наук СССР; Сибирское отделение АН СССР; Институт физики им. Л.В. Киренского Сибирского отделения АН СССР
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Bulgakov, E. N.
Symmetry breaking for transmission in a photonic waveguide coupled with two off-channel nonlinear defects / E. N. Bulgakov, K. N. Pichugin, A. F. Sadreev // Phys. Rev. B. - 2011. - Vol. 83, Is. 4. - Ст. 45109, DOI 10.1103/PhysRevB.83.045109. - Cited References: 50. - This work was partially supported by RFBR Grant No. 09-02-98005-"Siberia" and RFBR Grant No. 11-02-00289. . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
CRYSTAL-CIRCUITS
   LOCALIZED MODES
   BISTABILITY
   IMPURITIES
   RESONANCE
   CAVITIES
   STATES
   MEDIA
Аннотация: We consider light transmission in a two-dimensional (2D) photonic crystal waveguide coupled with two identical nonlinear defects positioned symmetrically aside the waveguide. With the coupled mode theory, we show three scenarios for the transmission. The first one inherits the linear case and preserves the symmetry. In the second scenario, the symmetry is broken because of different light intensities at the defects. In the third scenario, the intensities at the defects are equal but phases of complex amplitudes are different. That results in a vortical power flow between the defects similar to the dc Josephson effect if the input power over the waveguide is applied and the defects are coupled. All of these phenomena agree well with computations based on an expansion of the electromagnetic field into optimally adapted photonic Wannier functions in a 2D photonic crystal.

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Держатели документа:
[Bulgakov, Evgeny
Pichugin, Konstantin
Sadreev, Almas] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Bulgakov, Evgeny] Siberian State Aerosp Univ, Krasnoyarsk, Russia

Доп.точки доступа:
Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
}
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Bulgakov, E. N.
Giant optical vortex in photonic crystal waveguide with nonlinear optical cavity / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. B. - 2012. - Vol. 85, Is. 16. - Ст. 165305, DOI 10.1103/PhysRevB.85.165305. - Cited References: 43. - The work is partially supported by RFBR grant 12-02-00483. We thank D. N. Maksimov and K. N. Pichugin for assistance in the manuscript preparation. . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
SYMMETRY-BREAKING
   FIBER
   MICROCAVITIES
   COUPLER
   INSTABILITIES
   GRATINGS
   MODES
   LIGHT
Аннотация: We consider light transmission in a directional photonic crystal waveguide that holds a nonlinear defect with two resonant dipole modes within the light propagation band. For the defect positioned on the center line of the waveguide, there are two ways to break the mirror symmetry with respect to either light intensity or light phase. The latter results in a giant vortex of the Poynting vector of the power current within the defect exceeding the input current by, at least, two orders of magnitude. We also consider the breaking of symmetry relative to the mirror reflection with respect to the cross-sectional axis of the waveguide when light is injected equally into both ends of the waveguide. This leads to different light outputs determined by the vorticity of the optical vortex.

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Держатели документа:
[Bulgakov, Evgeny N.
Sadreev, Almas F.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Bulgakov, Evgeny N.] Sibian State Aerosp Univ, Krasnoyarsk, Russia

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
}
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Bulgakov, E. N.
All-optical manipulation of light in X- and T-shaped photonic crystal waveguides with a nonlinear dipole defect / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. B. - 2012. - Vol. 86, Is. 7. - Ст. 75125, DOI 10.1103/PhysRevB.86.075125. - Cited References: 38. - The work is partially supported by Integration Project of Siberian Branch of RAS (Project No. 29) and RFBR Grant No. 12-02-000094. We thank D. N. Maksimov for critical reading of the manuscript. . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
SPONTANEOUS SYMMETRY-BREAKING
   FIBER
   CAVITIES
   SYSTEM
   FIELDS
Аннотация: We consider light transmission in X- and T-shaped photonic crystal waveguides which hold nonlinear defect with two resonant dipole modes. By use of the coupled-mode theory and by numerical solution of the Maxwell equations for the transverse-magnetic (TM) light mode, we show two stable types of the solutions. The first type has no cross talk, while the second type does owe to nonlinearity of the defect. We show also that direct path transmission processes in the waveguides play an important role for breaking of symmetry.

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Держатели документа:
[Bulgakov, Evgeny N.
Sadreev, Almas F.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Bulgakov, Evgeny N.] Siberian State Aerosp Univ, Krasnoyarsk, Russia

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
}
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Bulgakov, E. N.
Symmetry breaking in photonic crystal waveguide coupled with the dipole modes of a nonlinear optical cavity / E. N. Bulgakov, A. F. Sadreev // J. Opt. Soc. Am. B. - 2012. - Vol. 29, Is. 10. - P. 2924-2928. - Cited References: 17. - This work is partially supported by the Integration Project of the Siberian Branch of the Russian Academy of Sciences (RAS) (project no. 29) and the Russian Fund of Basic Research (RFBR) grant 12-02-000094. We thank D. N. Maksimov for assistance in the manuscript preparation. . - ISSN 0740-3224

РУБ Optics

Аннотация: We present stable symmetry breaking solutions in a nonlinear optical cavity with dipole eigenmodes embedded into the propagation band of a directional photonic crystal waveguide for symmetric injecting condition. We demonstrate how this phenomenon can be exploited for all-optical switching of light transmission from the one side of the waveguide to another by application of input pulses. When the light injected to both sides of the waveguide has equal intensities but different phases, we reveal a wealth of new solutions. (c) 2012 Optical Society of America

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Держатели документа:
[Bulgakov, Evgeny N.
Sadreev, Almas F.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Bulgakov, Evgeny N.] Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
}
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    Bulgakov, E. N.
    Channel dropping via bound states in the continuum in a system of two nonlinear cavities between two linear waveguides / E. N. Bulgakov, K. N. Pichugin, A. F. Sadreev // J. Phys.: Condens. Matter. - 2013. - Vol. 25, No. 39. - Ст. 395304. - P. , DOI 10.1088/0953-8984/25/39/395304 . - ISSN 0953-8984
   Перевод заглавия: Переключение каналов через связанные состояния в континууме в системе
Кл.слова (ненормированные):
Channel dropping -- Efficient channels -- Incident waves -- Linear waveguides -- Nonlinear cavities -- Numerical solution -- Parallel waveguides -- Two-dimensional photonic crystals -- Condensed matter physics -- Physics -- Waveguides
Аннотация: We show that two nonlinear resonant cavities aligned between two parallel waveguides can support self-induced bound states in the continuum (BSCs). These BSCs are symmetrical relative to an inversion of the waveguides and to inversion of the transport axis. Due to this BSCs can drop an incident wave from one waveguide to another with very high efficiency. We show also that the frequency of the efficient channel dropping can be tuned by injecting power. All these results are in good agreement with numerical solutions of the Maxwell equations in a two-dimensional photonic crystal of GaAs rods holding two parallel waveguides and two defects made of a Kerr medium. В© 2013 IOP Publishing Ltd.

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Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
}
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    Bulgakov, E. N.
    Light-induced degeneracy of resonance modes in a nonlinear microcavity coupled with waveguides: Application to channel drop filter / E. N. Bulgakov, A. F. Sadreev // J. Opt. Soc. Am. B. - 2013. - Vol. 30, Is. 9. - P. 2549-2554, DOI 10.1364/JOSAB.30.002549 . - ISSN 0740-3224
   Перевод заглавия: Свето-индуцированное восстановления вырождения в нелинейном микрорезонаторе, связанного с волноводами: приложение к переключателю каналов
Кл.слова (ненормированные):
Channel drop filters -- Channel dropping -- Eigen modes -- Injected power -- Light-induced -- Parallel waveguides -- Resonance mode -- Two-dimensional photonic crystals -- Microcavities -- Natural frequencies -- Waveguides -- Waveguide filters
Аннотация: We consider a microcavity with degenerate dipole or hexapole eigenmodes. If the cavity is positioned between waveguides, degeneracy is lifted. However, we show that in a nonlinear microcavity the degeneracy is recovered at certain injected power. In application we consider a two-dimensional photonic crystal of GaAs rods holding two parallel waveguides and one defect made of Kerr media. We show that 100% efficiency channel dropping can be attained without a necessity to tune the resonant frequencies of the microcavity. В© 2013 Optical Society of America.

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Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
}
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Bulgakov, E. N.
Ligth-induced breaking of symmetry in photonic crystal waveguides with nonlinear defects as a key for all-optical switching circuits / E. N. Bulgakov, A. F. Sadreev, K. N. Pichugin // Spontaneous symmetry breaking, self-trapping, and Josephson oscillations. - 2013. - P. 89-124. - (Progress in optical science and photonics ; Vol. 1), DOI 10.1007/10091_2011_1 . - ISSN 978-3-642
Аннотация: We consider light transmission in 2D photonic crystal waveguide coupled with two identical nonlinear defects positioned symmetrically aside the waveguide. We show that with growth of injected light power there is a breaking of symmetry by two ways. In the first way the symmetry is broken because of different light intensities at the defects. In the second way the intensities at the defects are equaled but phases of complex amplitudes are different. That results in a vortical power flow between the defects similar to the DC Josephson effect if the input power over the waveguide is applied and the defects are coupled. As application of these phenomena we consider the symmetry breaking for the light transmission in a T-shaped photonic waveguide with two nonlinear defects. We demonstrate as this phenomenon can be explored for all-optical switching of light transmission from the left output waveguide to the right one by application of input pulses. Finally we consider the symmetry breaking in the waveguide coupled with single defect presented however by two dipole modes.

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Доп.точки доступа:
Malomed, Boris A. \ed.\; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Pichugin, K. N.; Пичугин, Константин Николаевич; Булгаков, Евгений Николаевич
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10.

Kolovsky, A. R.
Wannier-Stark states and Bloch oscillations in the honeycomb lattice / A. R. Kolovsky, E. N. Bulgakov // Phys. Rev. B. - 2013. - Vol. 87, Is. 3. - Ст. 033602. - P. , DOI 10.1103/PhysRevA.87.033602 . - ISSN 1050-2947
Кл.слова (ненормированные):
Bloch oscillations -- Chaotic state -- Honeycomb lattices -- Localization length -- Localized state -- Quantum particles -- Static fields -- Tight-binding approximations -- Solid state physics -- Honeycomb structures
Аннотация: We study a quantum particle in a tilted honeycomb lattice in the tight-binding approximation. First we discuss the particle eigenstates, i.e., the stationary Wannier-Stark states. These states are proved to be extended states for the rational directions of the static field and localized states for the irrational directions. We find energy bands of the extended states and analyze the localized states. It is shown, in particular, that the localized honeycomb Wannier-Stark states are chaotic states with irregular dependence of the localization length on the static field magnitude. Second we discuss Bloch oscillations of the quantum particle. Irregular Bloch oscillations for irrational directions are observed. В© 2013 American Physical Society.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Коловский, Андрей Радиевич
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11.

    Bulgakov, E. N.
    Induced tunneling and localization for a quantum particle in tilted two-dimensional lattices / E. N. Bulgakov, A. R. Kolovsky // Phys. Rev. B. - 2014. - Vol. 89, Is. 3. - Ст. 035116, DOI 10.1103/PhysRevB.89.035116. - Cited References: 17. - The authors express their gratitude to D. N. Maksimov for useful remarks and acknowledge financial support of the Russian Academy of Sciences through the SB RAS integration project No. 29 Dynamics of atomic Bose-Einstein condensates in optical lattices. . - ISSN 1098-0121. - ISSN 1550-235X
   Перевод заглавия: Индуцированное туннелирование и локализация квантовой частицы в наклонных двухмерных решетках

РУБ Physics, Condensed Matter
Рубрики:
DYNAMIC LOCALIZATION
   CHARGED-PARTICLE
   OPTICAL LATTICE
   ELECTRIC-FIELD
   DIRAC POINTS
Аннотация: We consider a quantum particle in tilted two-dimensional lattices in the tight-binding approximations. We show that for certain lattice geometries the particle can freely move across the lattice in the direction perpendicular to the vector of the static force. This effect is argued to be analog of the photon-induced tunneling in driven one-dimensional lattices. We calculate the particle dispersion relation by using a method based on the Bogoliubov-Mitropolskii averaging technique from the theory of dynamical systems. This dispersion relation draws the analogy with driven one-dimensional lattices further by eventually showing band collapses when a control parameter is varied.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Inst Engn Phys & Radio Elect, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Булгаков, Евгений Николаевич; Russian Academy of Sciences through the SB RAS [29]
}
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12.

Bulgakov, E. N.
All-optical diode based on dipole modes of Kerr microcavity in asymmetric L-shaped photonic crystal waveguide / E. N. Bulgakov, A. F. Sadreev // Opt. Lett. - 2014. - Vol. 39, Is. 7. - P. 1787-1790, DOI 10.1364/OL.39.001787. - Cited References: 14. - This work was partially supported by RFBR grant 13-02-00497 . - ISSN 0146-9592. - ISSN 1539-4794

РУБ Optics
Рубрики:
TRANSMISSION
Аннотация: A design of all-optical diode in L-shaped photonic crystal waveguide is proposed that uses the multistability of single nonlinear Kerr microcavity with two dipole modes. Asymmetry of the waveguide is achieved through different couplings of the dipole modes with the left and right legs of the waveguide. Using coupled mode theory we demonstrate an extremely high transmission contrast. The direction of optical diode transmission can be controlled by power or frequency of injected light. The theory agrees with the numerical solution of the Maxwell equations. (C) 2014 Optical Society of America

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Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; RFBR [13-02-00497]
}
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13.

    Resonant angular conversion in a Fabry-Perot resonator holding a dielectric cylinder / E. N. Bulgakov [et al.] // J. Opt. Soc. Am. A. - 2014. - Vol. 31, Is. 2. - P. 264-267, DOI 10.1364/JOSAA.31.000264. - Cited References: 8. - This work was partially supported by RFBR grant 13-02-00497, and grants no. 43, 101 and 24.29 of SB RAS, and NSCT-SB RAS. We thank D. N. Maksimov for critical reading of the manuscript. . - ISSN 1084-7529. - ISSN 1520-8532
   Перевод заглавия: Резонансная угловая конверсия в резонаторе Фабри-Перо, содержащегодиэлектрический стержень

РУБ Optics
Рубрики:
SCATTERING
SURFACE
Аннотация: Light transmission through a Fabry–Perot resonator (FPR) holding a dielectric cylinder rod is considered. For the cylinder parallel to mirrors of the FPR and the mirrors mimicked by the δ functions we present an exact analytical theory. It is shown that light transmits only for resonant incident angles, αm, similar to the empty FPR. However after transmission the light scatters into different resonant angles, αm′ , performing resonant angular conversion. We compare the theory with experiment in the FPR, exploring multilayer films as the mirrors and glass cylinder with diameter coincided with the distance between the FPR mirrors. The measured values of angular light conversion agree qualitatively with the theoretical results.

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Bulgakov, E. N.; Булгаков, Евгений Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Gerasimov, V. P.; Герасимов, Виктор Петрович; Zyryanov, V. Ya.; Зырянов, Виктор Яковлевич; RFBR [13-02-00497, 43, 101, 24.29]
}
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14.

    Bulgakov, E. N.
    Robust bound state in the continuum in a nonlinear microcavity embedded in a photonic crystal waveguide [Text] / E. N. Bulgakov, A. F. Sadreev // Opt. Lett. - 2014. - Vol. 39, Is. 17. - P. 5212-5215, DOI 10.1364/OL.39.005212. - Cited References: 27. - The work was supported by the Russian Science Foundation, grant 14-12-00266. We acknowledge discussions with Chia Wei Hsu and D. N. Maksimov. . - ISSN 0146-9592. - ISSN 1539-4794
   Перевод заглавия: Устойчивые связанные состояния в континууме в нелинейном микрорезонаторе, помещенного в фотонно кристаллический волновод

РУБ Optics
Рубрики:
TRAPPED MODES
RESONANCES
Аннотация: We present a two-dimensional photonic crystal design of four defect dielectric rods, which form a microcavity with eigenfrequencies residing in the propagating band of a directional waveguide. In this system, a nonrobust bound state in the continuum (BSC) occurs as a result of full destructive interference of the monopole and quadrupole modes, with the same parity at certain values of the material parameters of the defect rods. Due to the Kerr effect, a robust BSC arises in a self-adaptive way without necessity to tune the material parameters. The absence of the superposition principle in that nonlinear system gives rise to coupling of the BSC with injected light, resulting in a novel transmission resonance. (C) 2014 Optical Society of America

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Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Russian Science Foundation [14-12-00266]
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15.

    Symmetry breaking in open quantum nonlinear systems / A. F. Sadreev [et al.] // Nonlinear phenomena in complex systems: from nano to macro scale : Springer, 2015. - P. 235-252. - (NATO science for peace and security series C: Environmental security)DOI 10.1007/978-94-017-8704-8_17 . - ISBN 978-94-017-8704-8. - ISBN 978-94-017-8703-1
   Перевод заглавия: Нарушение симметрии в открытых квантовых нелинейных системах
Аннотация: We consider symmetry breaking in the simplest open quantum nonlinear systems such as dimer and plaquette of four nonlinear sites coupled with linear tight-binding wires. If the solution is stationary, the total Hilbert space can be projected into the inner states of the dimer or plaquette by the Feshbach procedure. That derives a nonlinear analogue of the Lippmann-Schwinger equation with injected wave as a source. By neglecting radiation shifts the Lippmann-Scwinger equation limits to the coupled mode theory equations widely used in optics. We show three scenarios for the transmission through the nonlinear quantum systems. The first one inherits the linear case and preserves the symmetry. In the second scenario the symmetry is broken because of different intensities at the dimer sites. In the third scenario the intensities at the sites are equaled but phases of complex wave function are different. That results in a vortical power flow between the nonlinear sites similar to the DC Josephson current. We show how the phenomenon of symmetry breaking can used for switching of outputs symmetrically coupled to the quantum dimer . Also we reveal a domain in the parameter space where none of stationary solutions exist. As a result injection of a monochromatic symmetric wave gives rise to emission of nonsymmetric satellite waves with energies different from the energy of the incident wave. Thus, the response exhibits non monochromatic behavior.

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Держатели документа:
Inst Phys, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Maksimov, D. N.; Максимов, Дмитрий Николаевич; Pichugin, K. N.; Пичугин, Константин Николаевич
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16.

    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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17.

    Maksimov, D. N.
    Wannier-Stark states in double-periodic lattices. II. Two-dimensional lattices / D. N. Maksimov, E. N. Bulgakov, A. R. Kolovsky // Phys. Rev. A. - 2015. - Vol. 91, Is. 5. - Ст. 053632, DOI 10.1103/PhysRevA.91.053632. - Cited References:22. - The authors acknowledge financial support from Russian Foundation for Basic Research through the Project No. 15-02-00463, Wannier-Stark states and Bloch oscillations of a quantum particle in a generic two-dimensional lattice. . - ISSN 1050. - ISSN 1094-1622
   Перевод заглавия: Состояния Ванье-Штарка в альтернантных решётках. 2. Двумерные решётки

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
BLOCH OSCILLATIONS
PARTICLE
LADDERS
Аннотация: We analyze the Wannier-Stark spectrum of a quantum particle in tilted two-dimensional lattices with the Bloch spectrum consisting of two subbands, which could be either separated by a finite gap or connected by the Dirac points. For rational orientations of the static field given by an arbitrary superposition of the translation vectors, the spectrum is a ladder of energy bands. We obtain asymptotic expressions for the energy bands in the limit of large and weak static fields and study them numerically for intermediate field strength. We show that the structure of energy bands determines the rate of spreading of localized wave packets, which is the quantity measured in laboratory experiments. It is shown that wave-packet dispersion becomes a fractal function of the field orientation in the long-time regime of ballistic spreading.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Kolovsky, A. R.; Коловский, Андрей Радиевич; Максимов, Дмитрий Николаевич; Russian Foundation for Basic Research [15-02-00463]
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18.

    Maksimov, D. N.
    Wannier-Stark states in double-periodic lattices. I. One-dimensional lattices / D. N. Maksimov, E. N. Bulgakov, A. R. Kolovsky // Phys. Rev. A. - 2015. - Vol. 91, Is. 5. - Ст. 053631, DOI 10.1103/PhysRevA.91.053631. - Cited References:24. - The authors acknowledge financial support from Russian Foundation for Basic Research through the Project No. 15-02-00463, Wannier-Stark states and Bloch oscillations of a quantum particle in a generic two-dimensional lattice. . - ISSN 1050. - ISSN 1094-1622
   Перевод заглавия: Состояния Ванье-Штарка в альтернантных решётках. 1. Одномерные решётки

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
BLOCH-ZENER OSCILLATIONS
   TIGHTLY BOUND ELECTRONS
   BANDS
   FIELD
Аннотация: We analyze the Wannier-Stark spectrum of a quantum particle in generic one-dimensional double-periodic lattices. In the limit of a weak static field, the spectrum is shown to be a superposition of two Wannier-Stark ladders originating from two Bloch subbands. As the strength of the field is increased, the spectrum rearranges itself into a single Wannier-Stark ladder. We derive analytical expressions that describe the rearrangement employing the analogy between the Wannier-Stark problem and a driven two-level system in the strong-coupling regime.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Kolovsky, A. R.; Коловский, Андрей Радиевич; Максимов, Дмитрий Николаевич; Russian Foundation for Basic Research [15-02-00463]
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19.

    Bulgakov, E. N.
    Light trapping above the light cone in a one-dimensional array of dielectric spheres / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. A. - 2015. - Vol. 92, Is. 2. - Ст. 023816, DOI 10.1103/PhysRevA.92.023816. - Cited References:62. - The work was supported by the Russian Science Foundation through Grant No. 14-12-00266. We acknowledge discussions with D. N. Maksimov. . - ISSN 1050. - ISSN 1094-1622
   Перевод заглавия: Захват света выше светового конуса в одномерной цепочке диэлектрических сфер

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
CLASSICAL ELECTROMAGNETIC SCATTERING
   ENERGY PHOTON DIFFRACTION
   BLOCH SURFACE-WAVES
   RADIATION CONTINUUM
   MULTIPLE-SCATTERING
   CONSUMMATE SOLUTION
   LINEAR ARRAYS
   BOUND-STATES
   MODES
   GUIDES
Аннотация: We demonstrate bound states in the first TE and TM diffraction continua (BSC) in a linear periodic array of dielectric spheres in air above the light cone. We classify the BSCs according to the symmetry specified by the azimuthal number m, the Bloch wave vector β directed along the array, and polarization. The most simple symmetry-protected TE and TM polarized BSCs have m=0 and β=0 and occur in a wide range of the radii of the spheres and dielectric constants. More complicated BSCs with m≠0 and β=0 exist only for a selected radius of the spheres at a fixed dielectric constant. We also find robust Bloch BSCs with β≠0 and m=0. We present also the BSCs embedded into two and three diffraction continua. We show that the BSCs can be easily detected by the collapse of the Fano resonance for scattering of electromagnetic plane waves by the array.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia.
Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia.

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Russian Science Foundation [14-12-00266]
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20.

    Bulgakov, E. N.
    All-optical light storage in bound states in the continuum and release by demand / E. N. Bulgakov, K. N. Pichugin, A. F. Sadreev // Opt. Express. - 2015. - Vol. 23, Is. 17. - P. 22520-22531, DOI 10.1364/OE.23.022520. - Cited References: 45. - This work was supported by Russian Scientific Foundation through Grant 14-12-00266. We acknowledge discussions with D.N. Maksimov . - ISSN 1094-4087
   Перевод заглавия: Сохранение света в связанном состоянии в континууме и освобождение по требованию

РУБ Optics
Рубрики:
TRAPPED RAINBOW STORAGE
   COUPLED-MODE THEORY
   CRYSTAL WAVE-GUIDE
   SLOW LIGHT
   FANO RESONANCE
   METAMATERIALS
   MICROCAVITY
   CAVITIES
Аннотация: In the framework of the temporal coupled mode theory we consider bound states embedded in the continuum (BSC) of photonic crystal waveguide as a capacity for light storage. A symmetry protected BSC occurs in two off-channel microresonators positioned symmetrically relative to the waveguide. We demonstrate that the symmetry protected BSC captures a fraction of a light pulse due to the Kerr effect as the pulse passes by the microresonators. However the amount of captured light is found to be strongly sensitive to the parameters of the gaussian light pulse such as basic frequency, duration and intensity. In contrast to the above case the BSC resulted from a full destructive interference of two eigenmodes of a single microresonator accumulates a fixed amount of light dependent on the material parameters of the microresonator but independent of the light pulse. The BSCs in the Fabry-Perot resonator show similar effects. We also show that the accumulated light can be released by a secondary pulse. These phenomena pave a way for all-optical storage and release of light. (C) 2015 Optical Society of America

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Доп.точки доступа:
Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Russian Scientific Foundation [14-12-00266]
}
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