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Berman, G. P.
Quantum chaos in interactions of multilevel quantum-systems with a coherent radiation-field / G. P. Berman, A. R. Kolovskii // Uspekhi Fiz. Nauk. - 1992. - Vol. 162, Is. 4. - P. 95-141. - Cited References: 36 . - ISSN 0042-1294

РУБ Physics, Multidisciplinary
Рубрики:
QUASIENERGY FUNCTIONS
   RESONANCES
   BEHAVIOR
   OVERLAP
Аннотация: The paper is short review of the papers devoted to the dynamics of the multilevel quantum systems affected by the external periodic field. The main attention is paid to the phenomenon of the quantum nonlinear resonance and the interaction of the two quantum nonlinear resonances, when the dynamics of the system is chaotic in the classical limit. The paper also contains the analysis of some physical systems where these phenomena take place. 30 figs. 37 refs.

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Доп.точки доступа:
Kolovskii, A. R.; Коловский, Андрей Радиевич; Берман, Геннадий Петрович
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Bulgakov, E. N.
Avoided crossings and bound states in the continuum in low-contrast dielectric gratings / E. N. Bulgakov, D. N. Maksimov // Phys. Rev. A. - 2018. - Vol. 98, Is. 5. - Ст. 053840, DOI 10.1103/PhysRevA.98.053840. - Cited References: 49. - This work was supported by Ministry of Education and Science of the Russian Federation (State Contract No. 3.1845.2017/4.6). We are grateful to K. N. Pichugin for assistance with the computations. . - ISSN 2469-9926. - ISSN 2469-9934

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
RESONANCES
Аннотация: We consider bound states in the continuum (BICs) in low-contrast dielectric gratings. It is demonstrated that the BICs originate from the reduced guided modes on the effective dielectric slab with the permittivity equal to the average permittivity of the dielectric grating. In the case of isolated resonances, the positions of BICs can be found from two-wave dispersion relationships for guided leaky modes. In the case of the degeneracy between the two families of leaky modes, the system exhibits an avoided crossing of resonances. In the spectral vicinity of the avoided crossing the transmittance as well as the emergence of BICs is described in the framework of the generic formalism by Volya and Zelevinsky [Phys. Rev. C 67, 054322 ( 2003)] with a single fitting parameter.

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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.

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Булгаков, Евгений Николаевич; Ministry of Education and Science of the Russian Federation [3.1845.2017/4.6]
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Bulgakov, E. N.
Bound states in the continuum with high orbital angular momentum in a dielectric rod with periodically modulated permittivity / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. A. - 2017. - Vol. 96, Is. 1. - Ст. 013841, DOI 10.1103/PhysRevA.96.013841. - Cited References:38. - We acknowledge discussions with D. N. Maksimov and A. S. Aleksandrovsky. This work was partially supported by Ministry of Education and Science of Russian Federation (State Contract No. N 3.1845.2017) and RFBR Grant No. 16-02-00314. . - ISSN 2469-9926. - ISSN 2469-9934

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
PHOTONIC CRYSTAL SLABS
   LIGHT-CONE
   RESONANCES
   SPHERES
   RADIATION
Аннотация: We report bound states in the radiation continuum (BICs) in a single infinitely long dielectric rod with periodically stepwise modulated permittivity alternating from ε1 to ε2. For ε2 = 1 in air the rod is equivalent to a stack of dielectric disks with permittivity ε1. Because of rotational and translational symmetries the BICs are classified by orbital angular momentum m and the Bloch wave vector beta directed along the rod. For m = 0 and β = 0 the symmetry protected BICs have definite polarization and occur in a wide range of the radius of the rod and the dielectric permittivities. More involved BICs with m ≠ 0, β = 0 exist only for a selected radius of the rod at a fixed dielectric constant. The existence of robust Bloch BICs with β ≠ 0, m = 0 is demonstrated. Asymptotic limits to a homogeneous rod and to very thin disks are also considered.

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Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia.

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Ministry of Education and Science of Russian Federation [N 3.1845.2017]; RFBR [16-02-00314]
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Bulgakov, E. N.
Fibers based on propagating bound states in the continuum / E. Bulgakov, A. Sadreev // Phys. Rev. B. - 2018. - Vol. 98, Is. 8. - Ст. 085301, DOI 10.1103/PhysRevB.98.085301. - Cited References: 40. - The authors thank D. N. Maksimov for assistance and discussions. This work was partially supported by the Ministry of Education and Science of Russian Federation (State Contract No. 3.1845.2017) and the RFBR Grants No. 16-02-00314 and No. 17-52-45072. . - ISSN 2469-9950. - ISSN 2469-9969

РУБ Physics, Condensed Matter
Рубрики:
PHOTONIC CRYSTAL SLABS
   LIGHT
   RESONANCES
   RADIATION
   ARRAYS
Аннотация: We show that a circular periodic array of silicon dielectric cylinders supports nearly bound states in the continuum (BICs) propagating along the cylinders. These propagating nearly BICs with extremely large-Q factors are surrounded by resonant modes weakly leaking into the radiation continuum. We present leaky zones in the form of dispersion curves for complex eigenfrequencies dependent on propagation constant kz, with the wave vector directed along the cylinders in the vicinity of different types of BICs. Symmetry-protected nearly BICs have the resonant width proportional to squared propagation constant Γ∼k2z; the widths of non-symmetry-protected nearly BICs behave as Γ∼(kz−kc)2, where kc and non-symmetry-protected nearly BICs have the resonant width proportional to k4z. The latter propagating nearly BICs can serve for the transmission of a electromagnetic signal paving a way to a different type of optical fiber. We also demonstrate weakly leaking resonant modes which carry orbital angular momentum.

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Держатели документа:
Fed Res Ctr Krasnoyarsk Sci Ctr SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia.

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Ministry of Education and Science of Russian Federation [3.1845.2017]; RFBR [16-02-00314, 17-52-45072]
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Bulgakov, E. N.
Light guiding above the light line in arrays of dielectric nanospheres / E. N. Bulgakov, D. N. Maksimov // Opt. Lett. - 2016. - Vol. 41, Is. 16. - P. 3888-3891, DOI 10.1364/OL.41.003888. - Cited References: 46. - Russian Foundation for Basic Research (RFBR) (16-02-00314). . - ISSN 0146-9592

РУБ Optics
Рубрики:
SUBWAVELENGTH WAVE-GUIDES
   OPTICAL MODES
   NANOPARTICLES
   CHAINS
   RESONANCES
   PARTICLES
   SPHERES
Аннотация: We consider light propagation above the light line in arrays of spherical dielectric nanoparticles. It is demonstrated numerically that quasi-bound leaky modes of the array can propagate both stationary waves and light pulses to a distance of 60 wavelengths at the frequencies close to the bound states in the radiation continuum. A semi-analytical estimate for decay rates of the guided waves is found to match the numerical data to a good accuracy. © 2016 Optical Society of America.

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Держатели документа:
Kirensky Institute of Physics, Krasnoyarsk, Russian Federation
Siberian State Aerospace University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Булгаков, Евгений Николаевич
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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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    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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Conductance of open quantum billiards and classical trajectories / R. G. Nazmitdinov [et al.] // Phys. Rev. B. - 2002. - Vol. 66, Is. 8. - Ст. 85322, DOI 10.1103/PhysRevB.66.085322. - Cited References: 46 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
BALLISTIC MICROSTRUCTURES
   CHAOTIC SCATTERING
   FLUCTUATIONS
   DOTS
   TRANSPORT
   DYNAMICS
   STATES
   MAGNETOTRANSPORT
   STATISTICS
   RESONANCES
Аннотация: We analyze the transport phenomena of two-dimensional quantum billiards with convex boundary of different shape. The quantum mechanical analysis is performed by means of the poles of the S matrix while the classical analysis is based on the motion of a free particle inside the cavity along trajectories with a different number of bounces at the boundary. The value of the conductance depends on the manner in which the leads are attached to the cavity. The Fourier transform of the transmission amplitudes is compared with the length of the classical paths. There is good agreement between classical and quantum mechanical results when the conductance is achieved mainly by special short-lived states such as whispering gallery modes and bouncing ball modes. In these cases, also the localization of the wave functions agrees with the picture of the classical paths. The S matrix is calculated classically and compared with the transmission coefficients of the quantum mechanical calculations for five modes in each lead. The number of modes coupled to the special states is effectively reduced.

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Держатели документа:
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
Joint Inst Nucl Res, Dubna 141980, Russia
Acad Sci Czech Republ, Inst Phys, Prague 16253, Czech Republic
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Univ Hradec Kralove, Dept Phys, Hradec Kralove 50003, Czech Republic
ИФ СО РАН

Доп.точки доступа:
Nazmitdinov, R. G.; Pichugin, K. N.; Пичугин, Константин Николаевич; Rotter, I.; Seba, P.
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Experimental observation of a symmetry-protected bound state in the continuum in a chain of dielectric disks / Z. F. Sadrieva [et al.] // Phys. Rev. A. - 2019. - Vol. 99, Is. 5. - Ст. 053804, DOI 10.1103/PhysRevA.99.053804. - Cited References:61. - The numerical simulations and experimental part of this work were supported by the Russian Science Foundation (Grant No. 17-12-01581), and the analytical calculations were supported by RFBR (Grant No. 18-32-20205) and the Ministry of Education and Science of the Russian Federation (3.1668.2017/4.6). The authors are thankful to Andrey Sayanskiy for assistance in the holder fabrication. A.A.B. and Z.F.S. acknowledge the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" for valuable financial support. . - ISSN 2469-9926. - ISSN 2469-9934

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
LIGHT
   RESONANCES
   RADIATION
   MOMENTUM
   BEHAVIOR
   LAYER
Аннотация: The existence of bound states in the continuum (BIC) manifests a general wave phenomenon first predicted in quantum mechanics by John von Neumann and Eugene Wigner [J. von Neumann and E. Wigner, Phys. Z. 30, 465 (1929)]. Today it is being actively explored in photonics, radiophysics, acoustics, and hydrodynamics. We report an experimental observation of an electromagnetic bound state in the radiation continuum in a one-dimensional array of dielectric particles. By measurement of the transmission spectra of the ceramic disk chain at GHz frequencies, we demonstrate how a resonant state in the vicinity of the center of the Brillouin zone turns into a symmetry-protected BIC with increase in the number of the disks. We estimate a number of the disks when the radiation losses become negligible in comparison to material absorption and, therefore, the chain could be considered practically as infinite. The presented analysis is supplemented by measurements of the near fields of the symmetry-protected BIC. All measurements are in a good agreement with the results of the numerical simulation and analytical model based on a tight-binding approximation. The obtained results provide useful guidelines for practical implementations of structures with bound states in the continuum that opens up horizons for the development of optical and radio-frequency metadevices.

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Держатели документа:
ITMO Univ, Dept Nanophoton & Metamat, St Petersburg 197101, Russia.
Ceram Co Ltd, Giricond Res Inst, St Petersburg 194223, Russia.
RAS, SB, KSC, Kirensky Inst Phys Fed Res Ctr, Krasnoyarsk 660036, Russia.
Ioffe Inst, St Petersburg 194021, Russia.

Доп.точки доступа:
Sadrieva, Z. F.; Belyakov, M. A.; Balezin, M. A.; Kapitanova, P. V.; Nenasheva, E. A.; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Bogdanov, A. A.; Russian Science Foundation [17-12-01581]; RFBR [18-32-20205]; Ministry of Education and Science of the Russian Federation [3.1668.2017/4.6]; Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS"
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10.

Fractional and unquantized dc voltage generation in THz-driven semiconductor superlattices / K. N. Alekseev [et al.] // Europhys. Lett. - 2001. - Vol. 56, Is. 6. - P. 842-848, DOI 10.1209/epl/i2001-00596-9. - Cited References: 40 . - ISSN 0295-5075

РУБ Physics, Multidisciplinary
Рубрики:
BLOCH OSCILLATIONS
   SYMMETRY-BREAKING
   ELECTRIC-FIELD
   FREQUENCY
   TRANSPORT
   CHAOS
   RESONANCES
   RADIATION
Аннотация: We consider the spontaneous creation of a dc voltage across a strongly coupled semiconductor superlattice subjected to THz radiation. We show that the dc voltage may be approximately proportional either to an integer or to a half-integer multiple of the frequency of the applied ac field, depending on the ratio of the characteristic scattering rates of conducting electrons. For the case of an ac field frequency less than the characteristic scattering rates, we demonstrate the generation of an unquantized dc voltage.

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Держатели документа:
Univ Oulu, Dept Phys Sci, Div Theoret Phys, FIN-90014 Oulu, Finland
LV Kirenskii Inst Phys, Theory Nonlinear Proc Lab, Krasnoyarsk 660036, Russia
Univ Notre Dame, Dept Elect Engn, Notre Dame, IN 46556 USA
Univ Loughborough, Dept Phys, Loughborough LE11 3TU, Leics, England
Boston Univ, Dept Elect & Comp Engn, Boston, MA 02215 USA
Boston Univ, Dept Phys, Boston, MA 02215 USA
ИФ СО РАН
Theor. of Nonlinear Processes Lab., Kirensky Institute of Physics, Krasnoyarsk 660036, Russian Federation
Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN 46556, United States
Department of Physics, Loughborough University, Loughborough, LE11 3TU, United Kingdom
Depts. of Elec. and Comp. E., Boston University, Boston, MA 02215, United States

Доп.точки доступа:
Alekseev, K. N.; Cannon, E. H.; Kusmartsev, F. V.; Campbell, D. K.
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