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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pichugin K. N., Sadreev A. F., Bulgakov E. N.
Заглавие : A series of avoided crossings of resonances in the system of several different dielectric resonators results in giant Q-factors
Колич.характеристики :15 с
Место публикации : Photonics. - 2023. - Vol. 10, Is. 9. - Ст.973. - ISSN 23046732 (eISSN), DOI 10.3390/photonics10090973
Примечания : Cited References: 64. - This work is supported by the Russian Science Foundation under grant 22-12-00070
Аннотация: On an example of a system of three/four/five/six different coupled coaxial silicon disks, we realize a series of avoided crossings of resonances (ACRs) with respect to the different morphologies for the different scales of each disk. Each next step of ACR accompanied by the optimization processes of all previous ACRs contributes almost one order of magnitude to the Q-factor. As a result, we achieve unprecedented values for the Q-factors: 6.6·104 for three, 4.8·106 for four, 8.5·107 for five and several billions for six free standing silicon disks. Comparisons to such prominent methods as whispering gallery modes or quasi bound states in the continuum to boost the Q-factor demonstrate the tremendous advantage of the present approach not only in terms of Q-factor values but also in terms of mode volumes. Multipole analysis of the final hybridized resonant mode explains such extremely large Q-factor values. The analysis shows a strong redistribution of radiation owing to the almost-exact destructive interference of the dominating complex multipole radiation amplitudes.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pichugin K. N., Sadreev A. F.
Заглавие : Aharanov-Bohm oscillations of conductance in two-dimensional rings
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1997. - Vol. 56, Is. 15. - P9662-9673. - ISSN 0163-1829, DOI 10.1103/PhysRevB.56.9662
Примечания : Cited References: 56
Предметные рубрики: NORMAL-METAL RINGS
HALF FLUX QUANTA
MESOSCOPIC RING
MAGNETIC-FIELD
CIRCULAR BENDS
EDGE STATES
MAGNETOTRANSPORT
TRANSPORT
WIRES
TRANSITION
Аннотация: Transport properties of mesoscopic rings with applied external magnetic field are considered numerically. Rings have square and circular forms and a finite aspect ratio d/L where L is the ring size and d is the width of ring arms. The type of the Aharonov-Bohm oscillations (ABO's) of the transmission substantially depends on the number of channels participating in the electron transmission. Moreover the aspect ratio and the geometrical form of the ring are important for the ABO's. In square rings with a small aspect ratio (d/L = 1/10) the transmission displays periodic ABO's in the region of applied magnetic field defined by the inequality infinity l(B) = ((h) over bar c/eB)(1/2)greater than or equal to d, while for rings with a large aspect ratio (d/L = 1/3) only the single-channel transmission has quasiperiodical ABO's. For the circular rings with small aspect ratios the quasiperiodic ABO's are observed all over the region of the applied magnetic field while for the rings with moderate aspect ratios only the multichannel transmission displays irregular ABO's. The probability current flow patterns demonstrate fine correspondence between the transmission and the vortex structure of current distributions in the rings. For single-channel transmission, electron currents are laminar. For multichannel transport, current flow patterns display a complicated convection pattern in the form of a vortex lattice. An elementary cell of the vortex lattice consists of a few vortices and antivortices and has a size of similar to d/f, where f is the number of channels of electron transmission in the ring. Application of the flux distorts the vortex lattice enormously, partially destroying it. Correspondingly the Aharonov-Bohm oscillations of the transmission become irregular.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Pichugin K. N., Sadreev A. F.
Заглавие : All-optical light storage in bound states in the continuum and release by demand
Коллективы : Russian Scientific Foundation [14-12-00266]
Место публикации : Opt. Express: Optical Society of America, 2015. - Vol. 23, Is. 17. - P.22520-22531. - ISSN 1094-4087, DOI 10.1364/OE.23.022520
Примечания : Cited References: 45. - This work was supported by Russian Scientific Foundation through Grant 14-12-00266. We acknowledge discussions with D.N. Maksimov
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pichugin K. N., Sadreev A. F.
Заглавие : Analysis of a channel-drop filter based on dispersive waveguides and two resonant cavities
Место публикации : J. Opt.: IOP Publishing Ltd, 2013. - Vol. 15, Is. 3. - Ст.35502. - P. - ISSN 2040-8978, DOI 10.1088/2040-8978/15/3/035502
Примечания : Cited References: 35. - The work is partially supported by RFBR grant 13-07-98018-a and RFBR grant 'Sibir' 13-07-00497
Предметные рубрики: PHOTONIC CRYSTAL SLABS
REFLECTION FEEDBACK
MODES
DESIGN
Ключевые слова (''Своб.индексиров.''): channel dropping--dispersive waveguides--optical micro-cavities
Аннотация: By use of coupled-mode theory we analyze a channel add-drop filter based on two dispersive waveguides symmetrically coupled with two resonant optical cavities. We show new solutions for the channel-drop filter processes compared to the solutions found by Manolatou et al (1999 IEEE J. Quantum Electron. 35 1322). For a special choice of the dispersion of the waveguides, we reveal a frequency region with sufficient total reflection.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Pichugin K. N., Sadreev A. F., Rotter I.
Заглавие : Bound states in the continuum in open Aharonov-Bohm rings
Место публикации : JETP Letters. - 2006. - Vol. 84, Is. 8. - P.430-435. - ISSN 0021-3640, DOI 10.1134/S0021364006200057
Примечания : Cited References: 33
Предметные рубрики: WAVE-GUIDE
QUANTUM
TRANSMISSION
SCATTERING
BILLIARDS
ELECTRON
Аннотация: Using the formalism of the effective Hamiltonian, we consider bound states in a continuum (BIC). They are nonhermitian effective Hamiltonian eigenstates that have real eigenvalues. It is shown that BICs are orthogonal to open channels of the leads, i.e., disconnected from the continuum. As a result, BICs can be superposed to a transport solution with an arbitrary coefficient and exist in a propagation band. The one-dimensional Aharonov-Bohm rings that are opened by attaching single-channel leads to them allow exact consideration of BICs. BICs occur at discrete values of the energy and magnetic flux; however, it's realization strongly depends on the way to the BIC point.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Pichugin K. N., Sadreev A. F.
Заглавие : Channel dropping via bound states in the continuum in a system of two nonlinear cavities between two linear waveguides
Место публикации : J. Phys.: Condens. Matter. - 2013. - Vol. 25, No. 39. - Ст.395304. - P. - ISSN 0953-8984, DOI 10.1088/0953-8984/25/39/395304
Ключевые слова (''Своб.индексиров.''): 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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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) : Luna-Acosta G. A., Mendez-Bermudez J. A., Seba P., Pichugin K. N.
Заглавие : Classical versus quantum structure of the scattering probability matrix: Chaotic waveguides
Место публикации : Phys. Rev. E: AMER PHYSICAL SOC, 2002. - Vol. 65, Is. 4. - Ст.46605. - ISSN 1539-3755, DOI 10.1103/PhysRevE.65.046605
Примечания : Cited References: 47
Предметные рубрики: SEMICLASSICAL CROSS-SECTION
CONDUCTANCE FLUCTUATIONS
S-MATRIX
BALLISTIC-TRANSPORT
WEAK-LOCALIZATION
CAVITIES
COLLISIONS
MICROSTRUCTURES
DENSITY
CHANNEL
Ключевые слова (''Своб.индексиров.''): 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Nazmitdinov R. G., Pichugin K. N., Rotter I., Seba P.
Заглавие : Conductance of open quantum billiards and classical trajectories
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2002. - Vol. 66, Is. 8. - Ст.85322. - ISSN 1098-0121, DOI 10.1103/PhysRevB.66.085322
Примечания : Cited References: 46
Предметные 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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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pervushin V. N., Arbuzov A. B., Barbashov B. M., Nazmitdinov R. G., Borowiec A., Pichugin K. N., Zakharov A. F.
Заглавие : Conformal and affine Hamiltonian dynamics of general relativity
Место публикации : Gen. Relativ. Gravit.: Springer/Plenum Publishers, 2012. - Vol. 44, Is. 11. - P.2745-2783. - ISSN 0001-7701, DOI 10.1007/s10714-012-1423-7
Примечания : Cited References: 76. - The authors would like thank M. Bordag, S. Deser, D. Ebert, A. Efremov, V. Gershun, Yu. Ignatev, E. Lukierski, and A. Zheltukhin for useful discussions. VNP and AB were supported in part by the Bogoliubov-Infeld program. AFZ is grateful to the JINR Directorate for a support.
Предметные рубрики: COSMOLOGICAL PERTURBATIONS
ACCELERATING UNIVERSE
STANDARD MODEL
SUPERNOVAE
GRAVITATION
FIELD
IA
REPRESENTATIONS
SYMMETRIES
OPERATORS
Ключевые слова (''Своб.индексиров.''): conformal cosmology--general relativity--hamiltonian dynamics--casimir energy
Аннотация: The Hamiltonian approach to the General Relativity is formulated as a joint nonlinear realization of conformal and affine symmetries by means of the Dirac scalar dilaton and the Maurer-Cartan forms. The dominance of the Casimir vacuum energy of physical fields provides a good description of the type Ia supernova luminosity distance-redshift relation. Introducing the uncertainty principle at the Planck's epoch within our model, we obtain the hierarchy of the Universe energy scales, which is supported by the observational data. We found that the invariance of the Maurer-Cartan forms with respect to the general coordinate transformation yields a single-component strong gravitational waves. The Hamiltonian dynamics of the model describes the effect of an intensive vacuum creation of gravitons and the minimal coupling scalar (Higgs) bosons in the Early Universe.
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