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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Arkhipkin V. G., Heller Y. I., Popov A. K., Provorov A. S.
Заглавие : Frequency mixing in a gas-filled wave-guide for VUV light generation
Разночтения заглавия :авие SCOPUS: Frequency mixing in a gas-filled waveguide for VUV light generation
Место публикации : Appl. Phys. B. - 1985. - Vol. 37, Is. 2. - P.93-97. - ISSN 0721-7269, DOI 10.1007/BF00692555
Примечания : Cited References: 17
Ключевые слова (''Своб.индексиров.''): 42.65--light - nonlinear optical effects--waveguides, optical--frequency mixing--gas-filled waveguide--ultraviolet radiation
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Mendez-Bermudez J. A., Luna-Acosta G. A., Seba P., Pichugin K. N.
Заглавие : Understanding quantum scattering properties in terms of purely classical dynamics: Two-dimensional open chaotic billiards
Место публикации : Phys. Rev. E: AMER PHYSICAL SOC, 2002. - Vol. 66, Is. 4. - Ст.46207. - ISSN 1539-3755, DOI 10.1103/PhysRevE.66.046207
Примечания : Cited References: 34
Предметные рубрики: BALLISTIC-TRANSPORT
POINCARE SECTIONS
CAVITIES
EIGENFUNCTIONS
LOCALIZATION
CHANNEL
Ключевые слова (''Своб.индексиров.''): 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Mendez-Bermudez J. A., Luna-Acosta G. A., Seba P., Pichugin K. N.
Заглавие : Chaotic waveguide-based resonators for microlasers
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2003. - Vol. 67, Is. 16. - Ст.161104. - ISSN 1098-0121, DOI 10.1103/PhysRevB.67.161104
Примечания : Cited References: 33
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sadreev A. F., Bulgakov E. N., Rotter I.
Заглавие : S-matrix formalism of transmission through two quantum billiards coupled by a waveguide
Место публикации : J. Phys. A. - 2005. - Vol. 38, Is. 49. - P.10647-10661. - ISSN 0305-4470, DOI 10.1088/0305-4470/38/49/012
Примечания : Cited References: 32
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Switching through symmetry breaking for transmission in a T-shaped photonic waveguide coupled with two identical nonlinear micro-cavities
Место публикации : J. Phys.: Condens. Matter: IOP PUBLISHING LTD, 2011. - Vol. 23, Is. 31. - Ст.315303. - ISSN 0953-8984, DOI 10.1088/0953-8984/23/31/315303
Примечания : Cited References: 32
Предметные рубрики: MODE THEORY
NUCLEAR REACTIONS
UNIFIED THEORY
FIBER
INSTABILITIES
RESONANCE
GRATINGS
SYSTEM
STATES
Ключевые слова (''Своб.индексиров.''): 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Symmetry breaking in a T-shaped photonic waveguide coupled with two identical nonlinear cavities
Место публикации : Phys. Rev. B: AMER PHYSICAL SOC, 2011. - Vol. 84, Is. 15. - Ст.155304. - ISSN 1098-0121, DOI 10.1103/PhysRevB.84.155304
Примечания : 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.
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Pichugin K. N., Sadreev A. F.
Заглавие : Light induced Josephson like current between two coupled nonlinear cavities coupled with a symmetrically positioned photonic crystal waveguide
Место публикации : J. Phys.: Condens. Matter: IOP PUBLISHING LTD, 2011. - Vol. 23, Is. 6. - Ст.65304. - ISSN 0953-8984, DOI 10.1088/0953-8984/23/6/065304
Примечания : Cited References: 26. - The work was supported by RFBR-grant 09-02-98005-'Siberia' and by RFBR-grant 11-02-00289.
Предметные рубрики: LOCALIZED MODES
BREAKING
CIRCUITS
Ключевые слова (''Своб.индексиров.''): 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Pichugin K. N., Sadreev A. F.
Заглавие : Symmetry breaking for transmission in a photonic waveguide coupled with two off-channel nonlinear defects
Место публикации : Phys. Rev. B: American Physical Society, 2011. - Vol. 83, Is. 4. - Ст.45109. - ISSN 1098-0121, DOI 10.1103/PhysRevB.83.045109
Примечания : Cited References: 50. - This work was partially supported by RFBR Grant No. 09-02-98005-"Siberia" and RFBR Grant No. 11-02-00289.
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Symmetry breaking in a T-shaped photonic waveguide coupled with two identical nonlinear cavities
Место публикации : Phys. Rev. B Condens. Matter Mater. Phys. - 2011. - Vol. 84, Is. 15. - Ст.155304. - С. 155304. - ISSN ISBN 10980121, DOI 10.1103/PhysRevB.84.155304
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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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Symmetry breaking in photonic crystal waveguide coupled with the dipole modes of a nonlinear optical cavity
Место публикации : J. Opt. Soc. Am. B: Optical Society of America, 2012. - Vol. 29, Is. 10. - P.2924-2928. - ISSN 0740-3224
Примечания : 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.
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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