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Pichugin, K. N.
Analysis of a channel-drop filter based on dispersive waveguides and two resonant cavities / K. N. Pichugin, A. F. Sadreev // J. Opt. - 2013. - Vol. 15, Is. 3. - Ст. 35502. - P. , DOI 10.1088/2040-8978/15/3/035502. - Cited References: 35. - The work is partially supported by RFBR grant 13-07-98018-a and RFBR grant 'Sibir' 13-07-00497 . - ISSN 2040-8978

РУБ Optics
Рубрики:
PHOTONIC CRYSTAL SLABS
   REFLECTION FEEDBACK
   MODES
   DESIGN
Кл.слова (ненормированные):
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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Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Пичугин, Константин Николаевич
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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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    Bulgakov, E. N.
    Channel dropping via bound states in the continuum in a system of two nonlinear cavities between two linear waveguides / E. N. Bulgakov, K. N. Pichugin, A. F. Sadreev // J. Phys.: Condens. Matter. - 2013. - Vol. 25, No. 39. - Ст. 395304. - P. , DOI 10.1088/0953-8984/25/39/395304 . - ISSN 0953-8984
   Перевод заглавия: Переключение каналов через связанные состояния в континууме в системе
Кл.слова (ненормированные):
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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Доп.точки доступа:
Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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Bulgakov, E. N.
Ligth-induced breaking of symmetry in photonic crystal waveguides with nonlinear defects as a key for all-optical switching circuits / E. N. Bulgakov, A. F. Sadreev, K. N. Pichugin // Spontaneous symmetry breaking, self-trapping, and Josephson oscillations. - 2013. - P. 89-124. - (Progress in optical science and photonics ; Vol. 1), DOI 10.1007/10091_2011_1 . - ISSN 978-3-642
Аннотация: We consider light transmission in 2D photonic crystal waveguide coupled with two identical nonlinear defects positioned symmetrically aside the waveguide. We show that with growth of injected light power there is a breaking of symmetry by two ways. In the first way the symmetry is broken because of different light intensities at the defects. In the second way the intensities at the defects are equaled 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. As application of these phenomena we consider the symmetry breaking for the light transmission in a T-shaped photonic waveguide with two nonlinear defects. We demonstrate as 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. Finally we consider the symmetry breaking in the waveguide coupled with single defect presented however by two dipole modes.

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Доп.точки доступа:
Malomed, Boris A. \ed.\; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Pichugin, K. N.; Пичугин, Константин Николаевич; Булгаков, Евгений Николаевич
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Conformal and affine Hamiltonian dynamics of general relativity / V. N. Pervushin [et al.] // Gen. Relativ. Gravit. - 2012. - Vol. 44, Is. 11. - P. 2745-2783, DOI 10.1007/s10714-012-1423-7. - 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. . - ISSN 0001-7701

РУБ Astronomy & Astrophysics + Physics, Multidisciplinary + Physics, Particles & Fields
Рубрики:
COSMOLOGICAL PERTURBATIONS
   ACCELERATING UNIVERSE
   STANDARD MODEL
   SUPERNOVAE
   GRAVITATION
   FIELD
   IA
   REPRESENTATIONS
   SYMMETRIES
   OPERATORS
Кл.слова (ненормированные):
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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Держатели документа:
[Pervushin, Victor N.
Arbuzov, Andrej B.
Barbashov, Boris M.
Nazmitdinov, Rashid G.
Zakharov, Alexander F.] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia
[Arbuzov, Andrej B.] Univ Dubna, Dept Higher Math, Dubna 141980, Russia
[Nazmitdinov, Rashid G.] Univ Illes Balears, Dept Fis, Palma De Mallorca 07122, Spain
[Borowiec, Andrzej] Univ Wroclaw, Inst Theoret Phys, PL-50204 Wroclaw, Poland
[Pichugin, Konstantin N.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Zakharov, Alexander F.] Inst Theoret & Expt Phys, Moscow 117259, Russia

Доп.точки доступа:
Pervushin, V. N.; Arbuzov, A. B.; Barbashov, B. M.; Nazmitdinov, R. G.; Borowiec, A.; Pichugin, K. N.; Пичугин, Константин Николаевич; Zakharov, A. F.
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The general relativity with conformal units / V. N. Pervushin [et al.] // Phys. Part. Nuclei. - 2012. - Vol. 43, Is. 5. - P. 682-688, DOI 10.1134/S1063779612050310. - Cited References: 42. - 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. . - ISSN 1063-7796

РУБ Physics, Particles & Fields
Рубрики:
ACCELERATING UNIVERSE
   COSMOLOGICAL CONSTANT
   SUPERNOVA
   SPACE
   DECELERATION
   GRAVITY
Аннотация: General Relativity rewritten in conformal units identifies conformal intervals with the real observational distances. This identification gives a base to explain all epochs of the Universe evolution including Ia supernova luminosity long distance-redshift relation by the dominance of the Casimir vacuum energy of all physical fields. A set of arguments is discussed in favor that SNe Ia data in the conformal units can be an evidence of the conformal twistor structure of the space-time as a nonlinear realization of the affine group, like the nonlinear realization of chiral symmetry and phenomenological Lagrangian is evidence of the quark structure of hadrons.

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Публикация "на русском языке" The general relativity with conformal units [Текст] / V. N. Pervushin [et al.] // Физ. элементар. частиц и атом. ядра : Объединенный институт ядерных исследований, 2012. - Т. 43 № 5.- P.1319-1331

Держатели документа:
[Pervushin, V. N.
Arbuzov, A. B.
Barbashov, B. M.
Nazmitdinov, R. G.] JINR, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia
[Arbuzov, A. B.] Univ Dubna, Dept Higher Math, Dubna 141980, Russia
[Nazmitdinov, R. G.] Univ Illes Balears, Dept Fis, E-07122 Palma De Mallorca, Spain
[Borowiec, A.] Univ Wroclaw, Inst Theoret Phys, PL-50204 Wroclaw, Poland
[Pichugin, K. N.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
[Zakharov, A. F.] Inst Theoret & Expt Phys, Moscow 117259, Russia

Доп.точки доступа:
Pervushin, V. N.; Arbuzov, A. B.; Barbashov, B. M.; Nazmitdinov, R. G.; Borowiec, A.; Pichugin, K. N.; Пичугин, Константин Николаевич; Zakharov, A. F.
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The general relativity with conformal units / V. N. Pervushin [et al.] // Физ. элементар. частиц и атом. ядра. - 2012. - Т. 43, № 5. - P. 1319-1331. - Библиогр.: 42 назв. - 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. . - ISSN 0367-2026
Аннотация: General Relativity rewritten in conformal units identifies conformal intervals with the real observational distances. This identification gives a base to explain all epochs of the Universe evolution including Ia supernova luminosity long distance-redshift relation by the dominance of the Casimir vacuum energy of all physical fields. A set of arguments is discussed in favor that SNe Ia data in the conformal units can be an evidence of the conformal twistor structure of the space-time as a nonlinear realization of the affine group, like the nonlinear realization of chiral symmetry and phenomenological Lagrangian is evidence of the quark structure of hadrons.

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"Переводная" версия The general relativity with conformal units [Текст] / V. N. Pervushin [et al.] // Phys. Part. Nuclei : MAIK Nauka-Interperiodica / Springer, 2012. - Vol. 43 Is. 5.- P.682-688

Pichugin, K. N.
Spin-orbit effects in carbon nanotubes - Analytical results / K. N. Pichugin, M. Pudlak, R. G. Nazmitdinov // Eur. Phys. J. B. - 2014. - Vol. 87, Is. 6. - Ст. 124, DOI 10.1140/epjb/e2014-50076-6. - Cited References: 21 . - ISSN 1434-6028. - ISSN 1434-6036

РУБ Physics, Condensed Matter
Рубрики:
ELECTRONS
TRANSPORT
GRAPHENE
Аннотация: Energy spectra and transport properties of armchair nanotubes with curvature induced spin-orbit interaction are investigated thoroughly. The spin-orbit interaction consists of two terms: the first one preserves the spin symmetry in rotating frame, while the second one breaks it. It is found that the both terms are equally important: (i) at scattering on the potential step which mimics a long-range potential in the nanotubes; (ii) at transport via nanotube quantum dots. It is shown that an armchair nanotube with the first spin-orbit term works as an ideal spin-filter, while the second term produces a parasitic inductance.

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Держатели документа:
Kirensky Inst Phys, Krasnoyarsk 660036, Russia
Inst Expt Phys, Kosice 04001, Slovakia
Univ Illes Balears, Dept Fis, Palma de Mallorca 07122, Spain
Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, Dubna 141980, Russia

Доп.точки доступа:
Pudlak, M.; Nazmitdinov, R. G.; Пичугин, Константин Николаевич
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    Symmetry breaking in open quantum nonlinear systems / A. F. Sadreev [et al.] // Nonlinear phenomena in complex systems: from nano to macro scale : Springer, 2015. - P. 235-252. - (NATO science for peace and security series C: Environmental security)DOI 10.1007/978-94-017-8704-8_17 . - ISBN 978-94-017-8704-8. - ISBN 978-94-017-8703-1
   Перевод заглавия: Нарушение симметрии в открытых квантовых нелинейных системах
Аннотация: We consider symmetry breaking in the simplest open quantum nonlinear systems such as dimer and plaquette of four nonlinear sites coupled with linear tight-binding wires. If the solution is stationary, the total Hilbert space can be projected into the inner states of the dimer or plaquette by the Feshbach procedure. That derives a nonlinear analogue of the Lippmann-Schwinger equation with injected wave as a source. By neglecting radiation shifts the Lippmann-Scwinger equation limits to the coupled mode theory equations widely used in optics. We show three scenarios for the transmission through the nonlinear quantum systems. The first one inherits the linear case and preserves the symmetry. In the second scenario the symmetry is broken because of different intensities at the dimer sites. In the third scenario the intensities at the sites are equaled but phases of complex wave function are different. That results in a vortical power flow between the nonlinear sites similar to the DC Josephson current. We show how the phenomenon of symmetry breaking can used for switching of outputs symmetrically coupled to the quantum dimer . Also we reveal a domain in the parameter space where none of stationary solutions exist. As a result injection of a monochromatic symmetric wave gives rise to emission of nonsymmetric satellite waves with energies different from the energy of the incident wave. Thus, the response exhibits non monochromatic behavior.

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Держатели документа:
Inst Phys, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Maksimov, D. N.; Максимов, Дмитрий Николаевич; Pichugin, K. N.; Пичугин, Константин Николаевич
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10.

    Pichugin, K. N.
    Frequency comb generation for wave transmission through the nonlinear dimer / K. N. Pichugin, A. F. Sadreev ; ed. E. C. Vagenas [et al.] // J. Phys.: Conf. Ser. - 2015. - Vol. 574. - Ст. 012037, DOI 10.1088/1742-6596/574/1/012037. - Cited References:18 . - ISSN 1742-6588
   Перевод заглавия: Генерация частотной гребенки при волновом транспорте через нелинейный димер

РУБ Mathematics, Applied + Physics, Applied + Physics, Multidisciplinary
Рубрики:
EQUATION
CAVITIES
Аннотация: We study dynamical response of the nonlinear dimer relative to monochromatic wave injected via the waveguide. We show existence of a domain in space of frequency and injected amplitude where the stationary solutions of the time evolution equations do not exist. We present time dependent solutions which show that scattering waves carry multiple harmonics with frequencies spaced equidistantly.

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Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Vagenas, E. C. \ed.\; Vlachos, D. S. \ed.\; Bastos, C. \ed.\; Hofer, T. \ed.\; Kominis, Y. \ed.\; Kosmas, O. \ed.\; LeLay, G. \ed.\; DePadova, P. \ed.\; Rode, B. \ed.\; Suraud, E. \ed.\; Varga, K. \ed.\; Пичугин, Константин Николаевич; International Conference on Mathematical Modeling in Physical(3 ; Aug. 28-31, 2014 ; Madrid)
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