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Bound states in the continuum in open Aharonov-Bohm rings / E. N. Bulgakov [et al.] // JETP Letters. - 2006. - Vol. 84, Is. 8. - P. 430-435, DOI 10.1134/S0021364006200057. - Cited References: 33 . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
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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Держатели документа:
Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
ИФ СО РАН
Institute of Physics, Russian Academy of Sciences, Krasnoyarsk, 660036, Russian Federation
Max-Planck-Institut fur Physik Komplexer Systeme, D-01187 Dresden, Germany

Доп.точки доступа:
Bulgakov, E. N.; Булгаков, Евгений Николаевич; Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Rotter, I.
}
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    Bulgakov, E. N.
    All-optical light storage in bound states in the continuum and release by demand / E. N. Bulgakov, K. N. Pichugin, A. F. Sadreev // Opt. Express. - 2015. - Vol. 23, Is. 17. - P. 22520-22531, DOI 10.1364/OE.23.022520. - Cited References: 45. - This work was supported by Russian Scientific Foundation through Grant 14-12-00266. We acknowledge discussions with D.N. Maksimov . - ISSN 1094-4087
   Перевод заглавия: Сохранение света в связанном состоянии в континууме и освобождение по требованию

РУБ Optics
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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Доп.точки доступа:
Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Russian Scientific Foundation [14-12-00266]
}
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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.
Evolution of the resonances of two parallel dielectric cylinders with distance between them / E. N. Bulgakov, K. N. Pichugin, A. F. Sadreev // Phys. Rev. A. - 2019. - Vol. 100, Is. 4. - Ст. 043806, DOI 10.1103/PhysRevA.100.043806. - Cited References: 37. - We acknowledge discussions with D. N. Maksimov. This work was partially supported by Ministry of Education and Science of Russian Federation (State Contract No. 3.1845.2017) and The Russian Foundation for Basic research RFBR Grant No. 19-02-00055. . - ISSN 2469-9926. - ISSN 2469-9934

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
WHISPERING-GALLERY MODES
MULTIPLE-SCATTERING
FACTOR ENHANCEMENT
Аннотация: We study evolution of resonant modes by traversing over the distance between two parallel dielectric cylinders. The processes of mutual scattering of Mie resonant modes by cylinders result in an interaction between the cylinders which lifts a degeneracy of resonances of the isolated cylinders. There are two basic scenarios of evolution. For strong interaction of cylinders resonances bypass the Mie resonances with increase of the distance. That scenario is typical for low-lying resonances (monopole and dipole). For weak interaction of cylinders the resonances are bound around the Mie resonances of isolated cylinders that form the second scenario. Both scenarios demonstrate a significant enhancement of the Q factor compared to the case of an isolated cylinder.

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Держатели документа:
Russian Acad Sci, Siberian Branch, Fed Res Ctr KSC, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Reshetnev Siberian State Univ Sci & Technol, Krasnoyarsk 660037, Russia.

Доп.точки доступа:
Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Ministry of Education and Science of Russian FederationMinistry of Education and Science, Russian Federation [3.1845.2017]; Russian Foundation for Basic research RFBRRussian Foundation for Basic Research (RFBR) [19-02-00055]
}
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Bulgakov, E. N.
Exceptional points in a dielectric spheroid / E. Bulgakov, K. Pichugin, A. Sadreev // Phys. Rev. A. - 2021. - Vol. 104, Is. 5. - Ст. 053507, DOI 10.1103/PhysRevA.104.053507. - Cited References: 60. - The work was supported by the Russian Foundation for Basic Research Project No. 19-02-00055 . - ISSN 2469-9926
Кл.слова (ненормированные):
Natural frequencies -- Refractive index -- Aspect-ratio -- Azimuthal index -- Dielectric spheroids -- Exceptional points -- Frequency modes -- Higher index -- Parametric variation -- Resonant mode -- Rotational symmetries
Аннотация: Evolution of resonant frequencies and resonant modes as dependent on the aspect ratio is considered in a dielectric high index spheroid. Because of rotational symmetry of the spheroid the solutions are separated by the azimuthal index m. By the two-parametric variation of a refractive index and the aspect ratio we achieve exceptional points at which the resonant frequencies and resonant modes are coalesced in the sector m=0.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, 660036, Russian Federation
Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, 660037, Russian Federation

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.
Giant resonant enhancement of optical binding of dielectric disks / E. N. Bulgakov, K. N. Pichugin, A. F. Sadreev // J. Opt. Soc. Am. B. - 2020. - Vol. 37, Is. 11. - P. 3335-3340, DOI 10.1364/JOSAB.402659. - Cited References: 30. - Russian Science Support Foundation (19-02-00055) . - ISSN 0740-3224
Кл.слова (ненормированные):
Aspect ratio -- Bessel functions -- Laser beams
Аннотация: Two-fold variation over the aspect ratio of each disk and distance between disks gives rise to numerous events of avoided crossing of resonances of individual disks. For these events, the hybridized anti-bonding resonant modes can acquire a morphology close to the Mie resonant mode with the high orbital momentum of an equivalent sphere. The �� factor of such resonance can exceed the �� factor of an isolated disk by two orders of magnitude. We show that dual incoherent counterpropagating coaxial Bessel beams with power 1mW/µm2 with frequency resonant to such anti-bonding Mie-like modes result in unprecedented optical binding forces up to tens of nano-Newtons for silicon micrometer-sized disks. We show also that the magnitude and sign of optical forces depend strongly on the longitudinal wave vector of the Bessel beams.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC, SB RAS, Krasnoyarsk, 660036, Russian Federation
Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, 660037, Russian Federation

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.
Giant resonant enhancement of optical binding of dielectric particles / E. N. Bulgakov, K. N. Pichugin, A. F. Sadreev // Phys. Rev. A. - 2020. - Vol. 102, Is. 4. - Ст. 043518, DOI 10.1103/PhysRevA.102.043518. - Cited References: 49. - This work was supported by Russian Foundation for Basic Research Project No. 19-02-00055. A.S. thanks D. Maksimov and E. Sherman for helpful discussions . - ISSN 2469-9926. - ISSN 2469-9934

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
FORCE
SPHERES
BEAM
Аннотация: Optical coupling of two identical dielectric particles gives rise to bonding and antibonding resonances. The latter is featured by significant narrowing of the resonant width and strong enhancement of the Q factor for the high-index micron-size particles in subwavelength range. We consider particles shaped as spheres and disks under coaxial illumination of dual incoherent counterpropagating Bessel beams. In the case of spheres we derive analytical expressions for the optical binding (OB) force which decays and displays two periods of oscillations. For close distances the OB force enormously increases in the resonant regime. The case of two coaxial disks is featured by extremal enhancement of the Q factor owing to the twofold variation over the distance between disks and the aspect ratio of each disk compared to the case of two spheres. In that case we demonstrate enhancement of the OB force up to several tens of nanonewtons. We show that the magnitude and sign of the OB force strongly depend on the longitudinal wave vector of the Bessel beams.

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Держатели документа:
RAS, Kirensky Inst Phys, Fed Res Ctr, KSC,SB, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Russian Foundation for Basic Research ProjectRussian Foundation for Basic Research (RFBR) [19-02-00055]
}
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Bulgakov, E. N.
Interaction between dielectric particles enhances the Q factor. / E. N. Bulgakov, K. N. Pichugin, A. F. Sadreev // Journal of Physics: Conference Series. - 2020. - Vol. 1461, Is. 1. - Ст. 012144, DOI 10.1088/1742-6596/1461/1/012144. - Cited References: 22. - This work was supported by Russian Science Foundation through Grant 19-02-00055. A. S. thanks A. Bogdanov for numerous and fruitful discussions
Кл.слова (ненормированные):
Anti-symmetric -- Avoided crossings -- Dielectric particles -- Identical particles -- Individual particles -- Quality factors -- Strong enhancement -- Two particles -- Q factor measurement
Аннотация: We consider resonant modes of two dielectric identical particles which can be classified as symmetric and anti symmetric combinations of the resonant modes of individual particles. We show that an approaching of two particles gives rise to an avoided crossing of resonant poles because of interaction between the disks. That in turn results in strong enhancement of the quality factor factor of two disks compared to isolated disks.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center, KSC SB RAS, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; International Conference on Metamaterials and Nanophotonics(4 ; 2019 ; 15 - 19 July ; St. Petersburg, Russian Federation)
}
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Bulgakov, E. N.
Interaction between dielectric particles enhances the Q-factor / E. Bulgakov, K. Pichugin, A. Sadreev // Adv. Electromagn. - 2019. - Vol. 8, Is. 4. - P. 108-117, DOI 10.7716/aem.v8i4.1292. - Cited References: 36. - We acknowledge discussions with A.A. Bogdanov and D.N. Maksimov. This work was partially supported by RFBR grant 19-02-00055 and Ministry of Education and Science of Russian Federation (state contract N 3.1845.2017/4.6). . - ISSN 2119-0275

РУБ Engineering, Electrical & Electronic
Рубрики:
WHISPERING-GALLERY MODES
MULTIPLE-SCATTERING
STATES
Аннотация: We study behavior of resonant modes with a distance between two dielectric resonators shaped as cylinders and disks. We reveal two basic scenarios of evolution of resonances with the distance between the cylinders. For larger distances and respectively weaker interaction of particles the resonances are bound around the resonances of isolated resonators and evolve by spiral way. For shorter distances and respectively stronger interaction the resonances bypass the isolated resonances. Both scenarios demonstrate considerable enhancement of the Q factor compared to the case of isolated particle.

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Держатели документа:
RAN, Kirensky Inst Phys, Siberian Branch, Fed Res Ctr KSC, Krasnoyarsk 660036, Russia.
Reshetnev Siberian State Univ Sci & Technol, Krasnoyarsk 660037, Russia.

Доп.точки доступа:
Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; RFBRRussian Foundation for Basic Research (RFBR) [19-02-00055]; Ministry of Education and Science of Russian FederationMinistry of Education and Science, Russian Federation [3.1845.2017/4.6]
}
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10.

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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11.

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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12.

Bulgakov, E. N.
Mie resonance engineering in two disks / E. Bulgakov, K. Pichugin, A. Sadreev // Photonics. - 2021. - Vol. 8, Is. 2. - Ст. 49. - P. 1-14, DOI 10.3390/photonics8020049. - Cited References: 34. - This work was supported by RFBR grant 19-02-00055 . - ISSN 2304-6732
Кл.слова (ненормированные):
resonant modes -- avoided crossing -- Mie modes
Аннотация: Recently the recipes to achieve the high-Q subwavelength resonances in an isolated dielectric disk have been reported based on avoided crossing (anticrossing) of the TE resonances under variation of the aspect ratio of the disk. In a silicon disk that recipe gives an enhancement of the Q factor by one order of magnitude. In the present paper we present the approach based on engineering of the spherical Mie resonances with high orbital index in two coaxial disks by two-fold avoided crossing of the resonant modes of the disks. At the first step we select the resonant modes of single disk which are degenerate because of the opposite symmetry. Approaching of the second disk removes this degeneracy because of interaction between the disks. As a result at certain distances we realize the hybridized anti-bonding resonant modes whose morphology becomes close to the spherical Mie resonant mode with high orbital index. Respectively the Q factor of the anti-bonding resonant mode can be enhanced by three orders of magnitude compared to the case of single disk.

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Держатели документа:
L.V. Kirensky Institute of Physics, Federal Research Center KSC Siberian Branch, RAN, Krasnoyarsk, 660036, Russian Federation
Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, 660037, Russian Federation

Доп.точки доступа:
Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
}
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13.

Bulgakov, E. N.
Resonant binding of dielectric particles to a metal surface without plasmonics / E. Bulgakov, K. Pichugin, A. Sadreev // Phys. Rev. A. - 2021. - Vol. 103, Is. 5. - Ст. L051501, DOI 10.1103/PhysRevA.103.L051501. - Cited References: 36. - The work was supported by Russian Foundation for Basic Research Project No. 19-02-00055 . - ISSN 2469-9926. - ISSN 2469-9934

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
RADIATION PRESSURE
   OPTICAL BINDING
   FORCES
   MANIPULATION
Аннотация: A high index dielectric spherical particle supports the high-Q resonant Mie modes that result in a regular series of sharp resonances in the radiation pressure. The presence of a perfectly conducting metal surface transforms the Mie modes into extremely high-Q magnetic bonding or electric antibonding modes for the close approach of a sphere to a surface. We show that an electromagnetic plane wave with normal incidence results in repulsive or attractive resonant optical forces relative to a metal for the excitation of electric bonding or magnetic antibonding resonant modes, respectively. A magnitude of resonant optical forces reaches the order of 1 nN of magnitude for micron-sized silicon particles and a power of light 1mW/μm2 that exceeds the gravitational force by four orders. However, what is the most remarkable is there are steady positions for a sphere between the pulling and pushing forces that give rise to the resonant binding of the sphere to a metal surface.

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Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Reshetnev Siberian State Univ Sci & Technol, Krasnoyarsk 660037, Russia.

Доп.точки доступа:
Pichugin, K. N.; Пичугин, Константин Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Russian Foundation for Basic Research ProjectRussian Foundation for Basic Research (RFBR) [19-02-00055]
}
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14.

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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15.

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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16.

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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17.

Conductance of open quantum billiards and classical trajectories / R. G. Nazmitdinov [et al.] // Phys. Rev. B. - 2002. - Vol. 66, Is. 8. - Ст. 85322, DOI 10.1103/PhysRevB.66.085322. - Cited References: 46 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
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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Держатели документа:
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
Joint Inst Nucl Res, Dubna 141980, Russia
Acad Sci Czech Republ, Inst Phys, Prague 16253, Czech Republic
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Univ Hradec Kralove, Dept Phys, Hradec Kralove 50003, Czech Republic
ИФ СО РАН

Доп.точки доступа:
Nazmitdinov, R. G.; Pichugin, K. N.; Пичугин, Константин Николаевич; Rotter, I.; Seba, P.
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18.

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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19.

Conformal Hamiltonian dynamics of general relativity / A. B. Arbuzov [et al.] // Phys. Lett. B. - 2010. - Vol. 691, Is. 5. - P. 230-233, DOI 10.1016/j.physletb.2010.06.042. - Cited References: 30 . - ISSN 0370-2693

РУБ Physics, Multidisciplinary
Рубрики:
COSMOLOGICAL CONSTANT
   UNIVERSE
   GRAVITATION
   SUPERNOVAE
   MODEL
Кл.слова (ненормированные):
General relativity -- Cosmology -- Dilaton gravity -- Cosmology -- Dilaton gravity -- General relativity
Аннотация: The General Relativity formulated with the aid of the spin connection coefficients is considered in the finite space geometry of similarity with the Dirac scalar dilaton. We show that the redshift evolution of the General Relativity describes the vacuum creation of the matter in the empty Universe at the electroweak epoch and the dilaton vacuum energy plays a role of the dark energy. (C) 2010 Elsevier B.V. All rights reserved.

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Держатели документа:
[Arbuzov, A. B.
Barbashov, B. M.
Nazmitdinov, R. G.
Pervushin, V. N.] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, 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
ИФ СО РАН
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russian Federation
Department de Fisica, Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain
Institute of Theoretical Physics, University of Wroclaw, Pl. Maxa Borna 9, 50-204 Wroclaw, Poland
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation
Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya str. 25, 117259 Moscow, Russian Federation

Доп.точки доступа:
Arbuzov, A. B.; Barbashov, B. M.; Nazmitdinov, R. G.; Pervushin, V. N.; Borowiec, A.; Pichugin, K. N.; Пичугин, Константин Николаевич; Zakharov, A. F.
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20.

Exceptional points in periodic array of silicon rods / G. Shadrina, E. Bulgakov, A. Sadreev, K. Pichugin // Appl. Phys. Lett. - 2023. - Vol. 123, Is. 21. - Ст. 211104, DOI 10.1063/5.0173550. - Cited References: 37 . - ISSN 0003-6951. - ISSN 1077-3118
Аннотация: We find numerically the complex eigenvalues in grating composed of infinitely long silicon rods of rectangular cross section and show existence of exceptional points (EPs) in parametric space of structural scales and wave vector along the rods. The EPs have sufficiently small imaginary parts due to their proximity to bound states in the continuum. This enables to trace the resonant frequencies in the transmission around the EP and, accordingly, to identify the EP by bifurcation of the transmission. We present generic coupled mode theory to elucidate this effect. We also show that structural fluctuations of grating preserve EP but obscures their observation because of inhomogeneous broadening of transmission peaks.

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Держатели документа:
Institute of Computational Modelling, SB RAS, Krasnoyarsk 660036, Russia
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Shadrina, Galina; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Pichugin, K. N.; Пичугин, Константин Николаевич
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