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Frequency mixing in a gas-filled wave-guide for VUV light generation / V. G. Arkhipkin [et al.] // Appl. Phys. B. - 1985. - Vol. 37, Is. 2. - P. 93-97, DOI 10.1007/BF00692555. - Cited References: 17 . - ISSN 0721-7269

РУБ Physics, Applied

Кл.слова (ненормированные):
42.65 -- LIGHT - Nonlinear Optical Effects -- WAVEGUIDES, OPTICAL -- FREQUENCY MIXING -- GAS-FILLED WAVEGUIDE -- ULTRAVIOLET RADIATION

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Scopus
Держатели документа:
L. V. Kirensky Institute of Physics, USSR Academy of Sciences, Siberian Branch, Kransnoyarsk, SU-660036, Russia
Krasnoyarsk State University, Kransnoyarsk, SU-660036, Russia

Доп.точки доступа:
Arkhipkin, V. G.; Архипкин, Василий Григорьевич; Heller, Y. I.; Popov, A. K.; Попов, Александр Кузьмич; Provorov, A. S.
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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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Chaotic waveguide-based resonators for microlasers / J. A. Mendez-Bermudez [et al.] // Phys. Rev. B. - 2003. - Vol. 67, Is. 16. - Ст. 161104, DOI 10.1103/PhysRevB.67.161104. - Cited References: 33 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
QUANTUM-CLASSICAL CORRESPONDENCE
   MORPHOLOGY-DEPENDENT RESONANCES
   DIRECTIONAL EMISSION
   OPTICAL CAVITIES
   MICRODISK LASERS
   WAVE CHAOS
   DROPLETS
   PRECESSION
   BILLIARDS
   STATES
Аннотация: We propose the construction of highly directional emission microlasers using two-dimensional high-index semiconductor waveguides as open resonators. The prototype waveguide is formed by two collinear leads connected to a cavity of certain shape. The proposed lasing mechanism requires that the shape of the cavity yield mixed chaotic ray dynamics so as to have the approplate (phase space) resonance islands. These islands allow, via Heisenberg's uncertainty principle, the appearance of quasibound states (QBSs) which, in turn, propitiate the lasing mechanism. The energy values of the QBSs are found through the solution of the Helmholtz equation. We use classical ray dynamics to predict the direction and intensity of the lasing produced by such open resonators for typical values of the index of refraction.

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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

Доп.точки доступа:
Mendez-Bermudez, J. A.; Luna-Acosta, G. A.; Seba, P.; Pichugin, K. N.; Пичугин, Константин Николаевич
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Sadreev, A. F.
S-matrix formalism of transmission through two quantum billiards coupled by a waveguide / A. F. Sadreev, E. N. Bulgakov, I. . Rotter // J. Phys. A. - 2005. - Vol. 38, Is. 49. - P. 10647-10661, DOI 10.1088/0305-4470/38/49/012. - Cited References: 32 . - ISSN 0305-4470

РУБ Physics, Multidisciplinary + Physics, Mathematical
Рубрики:
CIRCULAR BENDS
   DOTS
   TRANSPORT
   CONTINUUM
   SYSTEMS
   STATES
Аннотация: We consider a system that consists of two single-quantum billiards (QBs) coupled by a waveguide and study the transmission through this system as a function of length and width of the waveguide. To interpret the numerical results for the transmission, we explore a simple model with a small number of states which allows us to consider the problem analytically. The transmission is described in the S-matrix formalism by using the non-Hermitian effective Hamilton operator for the open system. The coupling of the single QBs to the internal waveguide characterizes the 'internal' coupling strength u of the states of the system while that of the system as a whole to the attached leads determines the 'external' coupling strength v of the resonance states via the continuum (waves in the leads). The transmission is resonant for all values of v/u in relation to the effective Hamiltonian. It depends strongly on the ratio u/u via the eigenvalues and eigenfunctions of the effective Hamiltonian. The results obtained are compared qualitatively with those from simulation calculations for larger systems. Most interesting is the existence of resonance states with vanishing widths that may appear at all values of v/u. They cause zeros in the transmission through the double QB due to trapping of the particle in the waveguide.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
ИФ СО РАН
Kirensky Institute of Physics, Krasnoyarsk, 660036, Russian Federation
Department of Physics and Measurement Technology, Linkoping University, S-581 83 Linkoping, Sweden
Max-Planck-Institut fur Physik Komplexer Systeme, D-01187 Dresden, Germany

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Rotter, I.; Садреев, Алмаз Фаттахович
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Bulgakov, E. N.
Switching through symmetry breaking for transmission in a T-shaped photonic waveguide coupled with two identical nonlinear micro-cavities / E. . Bulgakov, A. . Sadreev // J. Phys.: Condens. Matter. - 2011. - Vol. 23, Is. 31. - Ст. 315303, DOI 10.1088/0953-8984/23/31/315303. - Cited References: 32 . - ISSN 0953-8984

РУБ Physics, Condensed Matter
Рубрики:
MODE THEORY
   NUCLEAR REACTIONS
   UNIFIED THEORY
   FIBER
   INSTABILITIES
   RESONANCE
   GRATINGS
   SYSTEM
   STATES
Кл.слова (ненормированные):
All-optical switching -- Anti-symmetric -- Central waveguides -- Coupled mode theory -- Input power -- Input pulse -- Mirror symmetry -- Nonlinear cavities -- Output waveguides -- Photonic waveguides -- Standing wave -- Symmetry-breaking -- Microcavities -- Mirrors -- Waveguides -- Light transmission
Аннотация: Using coupled mode theory we consider transmission in a T-shaped waveguide coupled with two identical symmetrically positioned nonlinear micro-cavities with mirror symmetry. For input power injected into the central waveguide we show the existence of a symmetry breaking solution which is a result of mixing of the symmetrical input wave with an antisymmetric standing wave in the Fabry-Perot interferometer. With growth of the input power, a feature in the form of loops arises in the solution which originates from bistability in the transmission in the output left/right waveguide coupled with the first/second nonlinear cavity. The domains of stability of the solution are found. The breaking of mirror symmetry gives rise to nonsymmetrical left and right outputs. We demonstrate that 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.

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Держатели документа:
[Bulgakov, Evgeny
Sadreev, Almas] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Bulgakov, Evgeny] Siberian State Aerosp Univ, Krasnoyarsk, Russia
ИФ СО РАН
Kirensky Institute of Physics, Krasnoyarsk 660036, Russian Federation
Siberian State Aerospace University, Krasnoyarsk Rabochii, Krasnoyarsk 31, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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Bulgakov, E. N.
Symmetry breaking in a T-shaped photonic waveguide coupled with two identical nonlinear cavities / E. . Bulgakov, A. . Sadreev // Phys. Rev. B. - 2011. - Vol. 84, Is. 15. - Ст. 155304, DOI 10.1103/PhysRevB.84.155304. - Cited References: 40. - A.S is grateful to Boris Malomed for fruitful discussions about symmetry breaking. The work is partially supported by RFBR grant 12-02-00483. . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
MODE THEORY
   NUCLEAR REACTIONS
   UNIFIED THEORY
   SYSTEM
   FIBER
   RESONANCE
   DYNAMICS
   STATES
Аннотация: We consider light transmission in a T-shaped photonic waveguide coupled with two identical symmetrically positioned nonlinear microcavities. We present two types of symmetry breaking. The first one is a result of mixing of the symmetric input wave with antisymmetric bound states in the Fabry-Perot interferometer architecture. Similarly, the second mechanism of the symmetry breaking is the result of mixing the symmetrical input wave with the antibonding bound state in a straight waveguide coupled with two cavities positioned perpendicular to the waveguide. In both cases the mixing is due to nonlinearity. In turn, the symmetry-breaking solutions give rise to nonsymmetrical outputs in the T-shape waveguide. These effects are directly demonstrated by the electromagnetic field solutions which are complimented by coupled mode theory for the light transmission.

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Держатели документа:
[Bulgakov, Evgeny
Sadreev, Almas] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Bulgakov, Evgeny] Siberian State Aerosp Univ, Krasnoyarsk, Russia
ИФ СО РАН
Kirensky Institute of Physics, 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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Bulgakov, E. N.
Light induced Josephson like current between two coupled nonlinear cavities coupled with a symmetrically positioned photonic crystal waveguide / E. . Bulgakov, K. . Pichugin, A. . Sadreev // J. Phys.: Condens. Matter. - 2011. - Vol. 23, Is. 6. - Ст. 65304, DOI 10.1088/0953-8984/23/6/065304. - Cited References: 26. - The work was supported by RFBR-grant 09-02-98005-'Siberia' and by RFBR-grant 11-02-00289. . - ISSN 0953-8984

РУБ Physics, Condensed Matter
Рубрики:
LOCALIZED MODES
BREAKING
CIRCUITS
Кл.слова (ненормированные):
Complex amplitude -- Green function theory -- Josephson -- Kerr materials -- Light intensity -- Nonlinear cavities -- Optical cavities -- Photonic crystal waveguide -- Optical waveguides -- Photonic crystals -- Transparency -- Waveguides -- Light transmission
Аннотация: We consider light transmission in a photonic crystal waveguide coupled with two identical nonlinear cavities positioned symmetrically beside the waveguide and coupled with each other. Using Green function theory we show three scenarios for the transmission. The first one inherits the linear case in which the light transmission preserves the symmetry. In the second scenario the symmetry is broken by the light intensities at the cavities. In the third scenario the intensities are equal but the phases of the complex amplitudes are different at the cavities. This results in a Josephson like current between the cavities. The model consideration agrees well with computations of the Poynting current in a photonic crystal waveguide coupled with two optical cavities filled with a Kerr material.

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Держатели документа:
[Bulgakov, Evgeny
Pichugin, Konstantin
Sadreev, Almas] Kirensky Inst Phys, Krasnoyarsk 660036, Russia
[Bulgakov, Evgeny] Siberian State Aerosp Univ, Krasnoyarsk, Russia
ИФ СО РАН
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation
Siberian State Aerospace University, Krasnoyarsk Rabochii, 31, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович
}
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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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Symmetry breaking in a T-shaped photonic waveguide coupled with two identical nonlinear cavities / E. Bulgakov, A. Sadreev // Phys. Rev. B Condens. Matter Mater. Phys. - 2011. - Vol. 84, Is. 15. - Ст. 155304. - P155304, DOI 10.1103/PhysRevB.84.155304 . - ISSN ISBN- 109
Аннотация: We consider light transmission in a T-shaped photonic waveguide coupled with two identical symmetrically positioned nonlinear microcavities. We present two types of symmetry breaking. The first one is a result of mixing of the symmetric input wave with antisymmetric bound states in the Fabry-Pérot interferometer architecture. Similarly, the second mechanism of the symmetry breaking is the result of mixing the symmetrical input wave with the antibonding bound state in a straight waveguide coupled with two cavities positioned perpendicular to the waveguide. In both cases the mixing is due to nonlinearity. In turn, the symmetry-breaking solutions give rise to nonsymmetrical outputs in the T-shape waveguide. These effects are directly demonstrated by the electromagnetic field solutions which are complimented by coupled mode theory for the light transmission. © 2011 American Physical Society.

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Держатели документа:
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation
Siberian State Aerospace University, Krasnoyarsk Rabochii, 31, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович
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10.

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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