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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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Understanding quantum scattering properties in terms of purely classical dynamics: Two-dimensional open chaotic billiards / J. A. Mendez-Bermudez [et al.] // Phys. Rev. E. - 2002. - Vol. 66, Is. 4. - Ст. 46207, DOI 10.1103/PhysRevE.66.046207. - Cited References: 34 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
BALLISTIC-TRANSPORT
   POINCARE SECTIONS
   CAVITIES
   EIGENFUNCTIONS
   LOCALIZATION
   CHANNEL
Кл.слова (ненормированные):
Chaos theory -- Electron tunneling -- Laser applications -- Nonlinear systems -- Probability -- Waveguide components -- Chaotic motion -- Microlasers -- Quantum scattering -- Scattering probability -- Quantum theory -- article
Аннотация: We study classical and quantum scattering properties of particles in the ballistic regime in two-dimensional chaotic billiards that are models of electron- or micro-waveguides. To this end we construct the purely classical counterparts of the scattering probability (SP) matrix \S(n,m)\(2) and Husimi distributions specializing to the case of mixed chaotic motion (incomplete horseshoe). Comparison between classical and quantum quantities allows us to discover the purely classical dynamical origin of certain general as well as particular features that appear in the quantum description of the system. On the other hand, at certain values of energy the tunneling of the wave function into classically forbidden regions produces striking differences between the classical and quantum quantities. A potential application of this phenomenon in the field of microlasers is discussed briefly. We also see the manifestation of whispering gallery orbits as a self-similar structure in the transmission part of the classical SP matrix.

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Держатели документа:
Univ Autonoma Puebla, Inst Fis, Puebla 72570, Mexico
Univ Hradec Kralove, Dept Phys, Hradec Kralove, Czech Republic
Acad Sci Czech Republ, Inst Phys, Prague, Czech Republic
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Instituto de Fisica, Univ. Autonoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico
Department of Physics, University Hradec Kralove, Hradec Kralove, Czech Republic
Institute of Physics, Czech Academy of Sciences, Cukrovarnicka 10, Prague, Czech Republic
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Mendez-Bermudez, J. A.; Luna-Acosta, G. A.; Seba, P.; Pichugin, K. N.; Пичугин, Константин Николаевич
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Classical versus quantum structure of the scattering probability matrix: Chaotic waveguides / G. A. Luna-Acosta [et al.] // Phys. Rev. E. - 2002. - Vol. 65, Is. 4. - Ст. 46605, DOI 10.1103/PhysRevE.65.046605. - Cited References: 47 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
SEMICLASSICAL CROSS-SECTION
   CONDUCTANCE FLUCTUATIONS
   S-MATRIX
   BALLISTIC-TRANSPORT
   WEAK-LOCALIZATION
   CAVITIES
   COLLISIONS
   MICROSTRUCTURES
   DENSITY
   CHANNEL
Кл.слова (ненормированные):
Chaos theory -- Matrix algebra -- Optical waveguides -- Quantum theory -- Scattering -- Wave equations -- Chaotic cavities -- Chaotic waveguides -- Quantum structure -- Scattering probability matrix -- Quantum optics
Аннотация: The purely classical counterpart of the scattering probability matrix (SPM) \S(n,m)\(2) of the quantum scattering matrix S is defined for two-dimensional quantum waveguides for an arbitrary number of propagating modes M. We compare the quantum and classical structures of \S(n,m)\(2) for a waveguide with generic Hamiltonian chaos. It is shown that even for a moderate number of channels, knowledge of the classical structure of the SPM allows us to predict the global structure of the quantum one and, hence, understand important quantum transport properties of waveguides in terms of purely classical dynamics. It is also shown that the SPM, being an intensity measure, can give additional dynamical information to that obtained by the Poincare maps.

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Держатели документа:
Univ Autonoma Puebla, Inst Fis, Puebla 72570, Mexico
Univ Hradec Kralove, Dept Phys, Hradec Kralove, Czech Republic
Acad Sci Czech Republ, Inst Phys, Prague, Czech Republic
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Instituto de Fisica, Univ. Autonoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico
Department of Physics, University Haradec Kralove, Hradec Kralove, Czech Republic
Institute of Physics, Czech Academy of Sciences, Cukrovarnicka 10, Prague, Czech Republic
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Luna-Acosta, G. A.; Mendez-Bermudez, J. A.; Seba, P.; Pichugin, K. N.; Пичугин, Константин Николаевич
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