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Bound States in Photonic Fabry-Perot Resonator with Nonlinear Off Channel Defects [Text] / Bulgakov E.N., Sadreev A.F. // Phys. Rev. B. - 2010. - Vol. 81. - P115128-12

Доп.точки доступа:
Bulgakov, E.N.; Sadreev, A.F.
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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 diode based on dipole modes of Kerr microcavity in asymmetric L-shaped photonic crystal waveguide / E. N. Bulgakov, A. F. Sadreev // Opt. Lett. - 2014. - Vol. 39, Is. 7. - P. 1787-1790, DOI 10.1364/OL.39.001787. - Cited References: 14. - This work was partially supported by RFBR grant 13-02-00497 . - ISSN 0146-9592. - ISSN 1539-4794

РУБ Optics
Рубрики:
TRANSMISSION
Аннотация: A design of all-optical diode in L-shaped photonic crystal waveguide is proposed that uses the multistability of single nonlinear Kerr microcavity with two dipole modes. Asymmetry of the waveguide is achieved through different couplings of the dipole modes with the left and right legs of the waveguide. Using coupled mode theory we demonstrate an extremely high transmission contrast. The direction of optical diode transmission can be controlled by power or frequency of injected light. The theory agrees with the numerical solution of the Maxwell equations. (C) 2014 Optical Society of America

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Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; RFBR [13-02-00497]
}
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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.
All-optical manipulation of light in X- and T-shaped photonic crystal waveguides with a nonlinear dipole defect / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. B. - 2012. - Vol. 86, Is. 7. - Ст. 75125, DOI 10.1103/PhysRevB.86.075125. - Cited References: 38. - The work is partially supported by Integration Project of Siberian Branch of RAS (Project No. 29) and RFBR Grant No. 12-02-000094. We thank D. N. Maksimov for critical reading of the manuscript. . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
SPONTANEOUS SYMMETRY-BREAKING
   FIBER
   CAVITIES
   SYSTEM
   FIELDS
Аннотация: We consider light transmission in X- and T-shaped photonic crystal waveguides which hold nonlinear defect with two resonant dipole modes. By use of the coupled-mode theory and by numerical solution of the Maxwell equations for the transverse-magnetic (TM) light mode, we show two stable types of the solutions. The first type has no cross talk, while the second type does owe to nonlinearity of the defect. We show also that direct path transmission processes in the waveguides play an important role for breaking of symmetry.

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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, Russia

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
}
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Bulgakov, E. N.
Avoided crossings and bound states in the continuum in low-contrast dielectric gratings / E. N. Bulgakov, D. N. Maksimov // Phys. Rev. A. - 2018. - Vol. 98, Is. 5. - Ст. 053840, DOI 10.1103/PhysRevA.98.053840. - Cited References: 49. - This work was supported by Ministry of Education and Science of the Russian Federation (State Contract No. 3.1845.2017/4.6). We are grateful to K. N. Pichugin for assistance with the computations. . - ISSN 2469-9926. - ISSN 2469-9934

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
RESONANCES
Аннотация: We consider bound states in the continuum (BICs) in low-contrast dielectric gratings. It is demonstrated that the BICs originate from the reduced guided modes on the effective dielectric slab with the permittivity equal to the average permittivity of the dielectric grating. In the case of isolated resonances, the positions of BICs can be found from two-wave dispersion relationships for guided leaky modes. In the case of the degeneracy between the two families of leaky modes, the system exhibits an avoided crossing of resonances. In the spectral vicinity of the avoided crossing the transmittance as well as the emergence of BICs is described in the framework of the generic formalism by Volya and Zelevinsky [Phys. Rev. C 67, 054322 ( 2003)] with a single fitting parameter.

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

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Булгаков, Евгений Николаевич; Ministry of Education and Science of the Russian Federation [3.1845.2017/4.6]
}
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    Bulgakov, E. N.
    Bloch bound states in the radiation continuum in a periodic array of dielectric rods / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. A. - 2014. - Vol. 90, Is. 5. - Ст. 53801, DOI 10.1103/PhysRevA.90.053801. - Cited References: 35. - The work was supported by the Russian Science Foundation through Grant No. 14-12-00266. We acknowledge discussions with D. N. Maksimov. . - ISSN 1050-2947. - ISSN 1094-1622
   Перевод заглавия: Блоховские связанные состояния в радиационном континууме в периодической цепи диэлеткрических стержней

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
WAVE-GUIDE
   SCATTERING
   CYLINDERS
   CHANNEL
Аннотация: We consider an infinite periodic array of dielectric rods in vacuum with the aim to demonstrate three types of Bloch bound states in the continuum (BSCs): symmetry protected with a zero Bloch vector, embedded in one diffraction channel with nonzero Bloch vector, and embedded in two and three diffraction channels. The first and second types of the BSC exist for a wide range of material parameters of the rods, while the third occurs only at a specific value of the radius of the rods. We show that the second type supports the power flux along the array. In order to find BSCs we put forward an approach based on the expansion over the Hankel functions. We show how the BSC reveals itself in the scattering function when the singular BSC point is approached along a specific path in the parametric space.

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Доп.точки доступа:
Sadreev, E. N.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Russian Science Foundation [14-12-00266]
}
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Bulgakov, E. N.
Bound States in Photonic Fabry-Perot Resonator Comprised of Two Nonlinear Off-Channel Defects / E. N. Bulgakov, A. F. Sadreev // JETP Letters. - 2009. - Vol. 90, Is. 12. - P. 744-749, DOI 10.1134/S0021364009240023. - Cited References: 32. - We thank Kostya Pichugin for many helpful discussions. The work was partially supported by the Russian Foundation for Basic Research, project no. 09-02-98005-Siberia. . - ISSN 0021-3640

РУБ Physics, Multidisciplinary
Рубрики:
SCATTERING-THEORY
   WAVE-GUIDE
   CONTINUUM
   MODES
Аннотация: Two off-channel nonlinear defects coupled to the photonic waveguide constitute the Fabry-Perot interfer-ometer (FPR). The defects are made from a Kerr-like nonlinear material. For the linear case such a FPR can support the bound states in the form of standing waves between the defects if the distance between them is quantized. For the nonlinear case the bound states appear for arbitrary distance between the defects however for an quantized electromagnetic intensity. For the transmission through FPR we reveal new resonances and show these are a result of coupling of the bound states with incident wave because of nonlinearity of the defects. The resonances are spaced at the eigen frequencies of bound states.

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Держатели документа:
[Bulgakov, E. N.
Sadreev, A. F.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
[Bulgakov, E. N.] Siberian State Aerosp Univ, Krasnoyarsk, Russia
ИФ СО РАН
Institute of Physics, Academy of Sciences, Krasnoyarsk 660036, Russian Federation
Siberian State Aerospace University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Russian Foundation for Basic Research [09-02-98005-Siberia]
}
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Bulgakov, E. N.
Bound states in photonic Fabry-Perot resonator with nonlinear off-channel defects / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. B. - 2010. - Vol. 81, Is. 11. - Ст. 115128, DOI 10.1103/PhysRevB.81.115128. - Cited References: 73. - The work was partially supported by RFBR under Grant No. 09-02-98005 "Siberia." We are greatly acknowledge Konstantin Pichugin for many discussions. . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
CRYSTAL WAVE-GUIDES
   STATIONARY LOCALIZED STATES
   COUPLED-MODE THEORY
   OPTICAL RESONATORS
   NUCLEAR REACTIONS
   UNIFIED THEORY
   MICROCAVITIES
   TRANSMISSION
   CONTINUUM
   CIRCUITS
Аннотация: We consider a Fabry-Perot resonator (FPR) comprised of two off-channel nonlinear defects coupled to the photonic waveguide. For the linear case FPR can support bound states in the form of standing waves between the defects if a distance between them is quantized. For the nonlinear case the bound states appear for arbitrary distance between the defects if electromagnetic intensity is quantized. For transmission through the FPR we reveal additional resonances which are the result of coupling of incident wave with the bound states because of nonlinearity of the defects. The resonances are spaced at the eigenfrequencies of bound states with a width proportional to the input amplitude. The theory of the FPR based on the simple Wang and Fan model [Phys. Rev. E 68, 066616 (2003)] is complemented by the tight-binding one. The results for the transmission and bound states in these models agree with computations in real two-dimensional photonic crystal waveguide coupled with two off-channel defects fabricated from a Kerr-type material.

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Держатели документа:
[Bulgakov, Evgeny N.
Sadreev, Almas F.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
[Bulgakov, Evgeny N.] Siberian State Aerosp Univ, Krasnoyarsk, Russia
ИФ СО РАН
Institute of Physics, Academy of Sciences, 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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10.

    Bulgakov, E. N.
    Bound states in the continuum and Fano resonances in the Dirac cone spectrum / E. N. Bulgakov, D. N. Maksimov // J. Opt. Soc. Am. B. - 2019. - Vol. 36, Is. 8. - P. 2221-2225, DOI 10.1364/JOSAB.36.002221. - Cited References: 33. - Ministry of Higher Education and Science of the Russian Federation (State Contract N 3.1845.2017/4.6). . - ISSN 0740-3224. - ISSN 1520-8540
   Перевод заглавия: Связанные состояния в континууме и резонансы Фано в коническом спектре Дирака

РУБ Optics
Рубрики:
BAND
Аннотация: We consider light scattering by two-dimensional arrays of high-index dielectric spheres arranged into a triangular lattice. It is demonstrated that in the case of a triple degeneracy of resonant leaky modes in the gamma point, the scattering spectra exhibit a complicated picture of Fano resonances with extremely narrow linewidth. The Fano features are explained through coupled-mode theory for a Dirac cone spectrum as a signature of optical bound states in the continuum (BIC). It is found that the standing wave in-gamma BIC induces a ring of off-gamma BICs due to different scaling laws for real and imaginary parts of the resonant eigenfrequencies in the Dirac cone spectrum. A quantitative theory of the spectra is proposed.

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Держатели документа:
Reshetnev Siberian State Univ Sci & Technol, Krasnoyarsk 660037, Russia.
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Kransnoyarsk 660041, Russia.

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Булгаков, Евгений Николаевич; Ministry of Higher Education and Science of the Russian Federation [N 3.1845.2017/4.6]
}
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11.

    Bulgakov, E. N.
    Bound states in the continuum and polarization singularities in periodic arrays of dielectric rods / E. N. Bulgakov, D. N. Maksimov // Phys. Rev. A. - 2017. - Vol. 96, Is. 6. - Ст. 063833, DOI 10.1103/PhysRevA.96.063833. - Cited References: 43. - This work was supported by Ministry of Education and Science of Russian Federation (State Contract No. 3.1845.2017/4.6). We appreciate discussions with Almas F. Sadreev. . - ISSN 2469-9926. - ISSN 2469-9934
   Перевод заглавия: Связанные состояния в континууме и поляризационные сингулярности в периодической последовательности диэлектрических стержней
Аннотация: We consider optical bound states in the continuum (BICs) in periodic arrays of dielectric rods. The full classification of BICs in the above system is provided, including the modes propagating along the axes of the rods and bidirectional BICs propagating both along the axes of the rods and the axis of periodicity. It is shown that the leaky zones supporting the BICs generally have elliptically polarized far-field radiation patterns, with the polarization ellipses collapsing on approach to the BICs in momentum space. That allowed us to apply the concept of polarization singularities and demonstrate that the BICs possess a topological charge defined as the winding number of the polarization direction [Phys. Rev. Lett. 113, 257401 (2014)]. It is found that the evolution of the BICs, including their creation and annihilation, under variation of geometric parameters is controlled by the topological charge. Three scenarios of such evolution for different leaky zones are described. Finally, it is shown that the topological properties of the BICs can be extracted from transmission spectra when the system is illuminated by a plane wave of circular polarization.

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

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Булгаков, Евгений Николаевич
}
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12.

Bulgakov, E. N.
Bound states in the continuum in dielectric resonators embedded into metallic waveguide / E. N. Bulgakov, A. S. Pilipchuk, A. F. Sadreev // All-dielectric nanophotonics / ed.: A. S. Shalin [et al.] : Elsevier, 2023. - Chapt. 7. - P. 185-212. - (Nanophotonics series). - Cited References: 97. - РНФ № 22-12-00070

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC, SB RAS

Доп.точки доступа:
Shalin, A. S. \ed.\; Valero, Adrià Canós \ed.\; Miroshnichenko, A. \ed.\; Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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13.

Bulgakov, E. N.
Bound states in the continuum in photonic waveguides inspired by defects / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. B. - 2008. - Vol. 78, Is. 7. - Ст. 75105, DOI 10.1103/PhysRevB.78.075105. - Cited References: 53 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
SCATTERING-THEORY
   NUCLEAR REACTIONS
   UNIFIED THEORY
   TRANSMISSION
   ELECTRON
   MODEL
Аннотация: Photonic crystal with defect layer forms directed continuum for electromagnetic waves. Defect rods in the vicinity of the defect layer interact with the continuum and give rise to scattering of ingoing waves. We derive quantum-mechanical analog of the non-Hermitian Hamiltonian of the open system with complex eigenvalues, which describes a scattering of electromagnetic waves by the defect rods. In this formalism a bound state in the continuum (BIC) can be easily found by the condition that one of the complex eigenvalues becomes real for variation of dielectric constant of the defect rods. We numerically find BICs with discrete frequencies belong to the continuum for different arrangements of the defects and show that they are localized around the defects.

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Держатели документа:
[Bulgakov, Evgeny N.
Sadreev, Almas F.] Russian Acad Sci, Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Institute of Physics, Academy of Sciences, 660036 Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
}
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14.

Bulgakov, E. N.
Bound states in the continuum with high orbital angular momentum in a dielectric rod with periodically modulated permittivity / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. A. - 2017. - Vol. 96, Is. 1. - Ст. 013841, DOI 10.1103/PhysRevA.96.013841. - Cited References:38. - We acknowledge discussions with D. N. Maksimov and A. S. Aleksandrovsky. This work was partially supported by Ministry of Education and Science of Russian Federation (State Contract No. N 3.1845.2017) and RFBR Grant No. 16-02-00314. . - ISSN 2469-9926. - ISSN 2469-9934

РУБ Optics + Physics, Atomic, Molecular & Chemical
Рубрики:
PHOTONIC CRYSTAL SLABS
   LIGHT-CONE
   RESONANCES
   SPHERES
   RADIATION
Аннотация: We report bound states in the radiation continuum (BICs) in a single infinitely long dielectric rod with periodically stepwise modulated permittivity alternating from ε1 to ε2. For ε2 = 1 in air the rod is equivalent to a stack of dielectric disks with permittivity ε1. Because of rotational and translational symmetries the BICs are classified by orbital angular momentum m and the Bloch wave vector beta directed along the rod. For m = 0 and β = 0 the symmetry protected BICs have definite polarization and occur in a wide range of the radius of the rod and the dielectric permittivities. More involved BICs with m ≠ 0, β = 0 exist only for a selected radius of the rod at a fixed dielectric constant. The existence of robust Bloch BICs with β ≠ 0, m = 0 is demonstrated. Asymptotic limits to a homogeneous rod and to very thin disks are also considered.

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Держатели документа:
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia.

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич; Ministry of Education and Science of Russian Federation [N 3.1845.2017]; RFBR [16-02-00314]
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15.

    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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16.

Bulgakov, E. N.
Correlated behavior of conductance and phase rigidity in the transition from the weak-coupling to the strong-coupling regime / E. N. Bulgakov, I. . Rotter, A. F. Sadreev // Phys. Rev. B. - 2007. - Vol. 76, Is. 21. - Ст. 214302, DOI 10.1103/PhysRevB.76.214302. - Cited References: 42 . - ISSN 1098-0121

РУБ Physics, Condensed Matter
Рубрики:
OPEN QUANTUM-SYSTEMS
   NUCLEAR CROSS-SECTIONS
   UNIFIED THEORY
   FLUCTUATIONS
   CONTINUUM
   BILLIARD
   STATES
Аннотация: We study the transmission through different small systems as a function of the coupling strength v to the two attached leads. The leads are identical with only one propagating mode xi(E)(C) in each of them. In addition to the conductance G, we calculate the phase rigidity rho of the scattering wave function Psi(E)(C) in the interior of the system. Most interesting results are obtained in the regime of strongly overlapping resonance states where the crossover from staying to traveling modes takes place. The crossover is characterized by collective effects. Here, the conductance is plateaulike enhanced in some energy regions of finite length while corridors with zero transmission (total reflection) appear in other energy regions. This transmission picture depends only weakly on the spectrum of the closed system. It is caused by the alignment of some resonance states of the system with the propagating modes xi(E)(C) in the leads. The alignment of resonance states takes place stepwise by resonance trapping, i.e., it is accompanied by the decoupling of other resonance states from the continuum of propagating modes. This process is quantitatively described by the phase rigidity rho of the scattering wave function. Averaged over energy in the considered energy window, G is correlated with 1-rho . In the regime of strong coupling, only two short-lived resonance states survive each aligned with one of the channel wave functions xi(E)(C). They may be identified with traveling modes through the system. The remaining M-2 trapped narrow resonance states are well separated from one another.

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Держатели документа:
[Bulgakov, E. N.
Rotter, I.
Sadreev, A. F.] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
[Bulgakov, E. N.
Sadreev, A. F.] LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
ИФ СО РАН
Max Planck Institute for the Physics of Complex Systems, D-01187 Dresden, Germany
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Rotter, I.; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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17.

Bulgakov, E. N.
Current-voltage characteristics of the resonant tunnelling double-barrier structure under time-periodical perturbation / E. N. Bulgakov, A. F. Sadreev // J. Phys.: Condens. Matter. - 1996. - Vol. 8, Is. 45. - P. 8869-8887, DOI 10.1088/0953-8984/8/45/020. - Cited References: 38 . - ISSN 0953-8984

РУБ Physics, Condensed Matter
Рубрики:
SEMICONDUCTOR DOUBLE-BARRIER
   OSCILLATING QUANTUM-WELL
   DEPENDENT TRANSPORT
   INFRARED-RADIATION
   TUNNELING TIMES
   HETEROSTRUCTURES
   TRANSMISSION
   MODEL
   FREQUENCIES
   COHERENT
Аннотация: We consider a typical semiconductor resonant tunnelling GaAs/AlGaAs/GaAs nanostructure which forms a double-barrier potential with quasienergy levels corresponding to transition frequencies in the infrared and microwave regions. Two types of dynamical perturbation of the heterostructure in the form V-1(x, t) = V(1)x cos Omega t and V-2(t) = V-2 cos Omega t are considered. We analyse numerically a reconstruction of the electron transmission through the heterostructure and the current-voltage characteristics (IVC) under the influence of these dynamical perturbations. Both weak and strong perturbations are considered. We investigate the dependences of the transmission on the electron energy and the frequency of the external field with the main accent on the case where a frequency of the perturbation is tuned to a transition between quasienergies of the double-barrier structure. it is found that these resonant phenomena give rise to new peaks and dips in the IVC. In particular, it is shown that the dipole type of perturbation V-1(x, t) gives rise to a Rabi splitting of the transmission peaks and under certain conditions to a Rabi splining of the IVC peaks and dips. We demonstrate that dynamical perturbation may induce a direct current opposite to the direction of the applied voltage, and that this phenomenon takes the form of a sharp dip which has a resonant origin. It is observed that the dipole type of perturbation V-1(x, t) of laser radiation is more effective for tuning the IVC than the first perturbation V-2(t). Also absorption and emission of energy by an electron transmitted through the DBRTS are considered.

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Держатели документа:
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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18.

Bulgakov, E. N.
Desktop laboratory of bound states in the continuum in metallic waveguide with dielectric cavities / E. Bulgakov, A. Pilipchuk, A. Sadreev // Phys. Rev. B. - 2022. - Vol. 106, Is. 7. - Ст. 075304, DOI 10.1103/PhysRevB.106.075304. - Cited References: 64. - We are grateful to Lujun Huang, Andrey Miroshnichenko and Yi Xu for presentation of unpublished paper and discussions. The research was supported by Russian Science Foundation No. 22-12-00070 . - ISSN 2469-9950
Кл.слова (ненормированные):
Q factor measurement -- Topology -- Asymptotics -- Bound-states -- Dielectric cavities -- Infinite arrays -- Metallic waveguide -- Metallics -- Position and orientations -- Power -- Q-factors -- Maxwell equations
Аннотация: We consider dielectric cavities whose radiation space is restricted by two parallel metallic planes. The TM solutions of the Maxwell equations of the system are equivalent to the solutions of periodical arrays of dielectric cavities. The system readily allows to achieve bound states in the continuum (BICs) of any type including topological BICs as dependent on position and orientation of the cavities relative to the planes and that extremely facilitates experimental studies in comparison to infinite arrays of the cavities. We show the effect of merging of topologically protected BICs that pushes the square asymptotic of the Q factor into the power degree 4 or even 6.

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

Доп.точки доступа:
Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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19.

Bulgakov, E. N.
Electric circuit networks equivalent to chaotic quantum billiards / E. N. Bulgakov, D. N. Maksimov, A. F. Sadreev // Phys. Rev. E. - 2005. - Vol. 71, Is. 4. - Ст. 46205, DOI 10.1103/PhysRevE.71.046205. - Cited References: 31 . - ISSN 1063-651X

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
TIME-REVERSAL SYMMETRY
   CONDUCTANCE FLUCTUATIONS
   STATISTICS
   SYSTEMS
   EIGENFUNCTIONS
   DOTS
Кл.слова (ненормированные):
Chaotic quantum billiards -- Electric resonance circuits (ERC) -- Resonance networks -- Wave functions -- Boundary conditions -- Capacitors -- Chaos theory -- Eigenvalues and eigenfunctions -- Electric inductors -- Natural frequencies -- Quantum theory -- Resonance -- Statistical mechanics -- Networks (circuits)
Аннотация: We consider two electric RLC resonance networks that are equivalent to quantum billiards. In a network of inductors grounded by capacitors, the eigenvalues of the quantum billiard correspond to the squared resonant frequencies. In a network of capacitors grounded by inductors, the eigenvalues of the billiard are given by the inverse of the squared resonant frequencies. In both cases, the local voltages play the role of the wave function of the quantum billiard. However, unlike for quantum billiards, there is a heat power because of the resistance of the inductors. In the equivalent chaotic billiards, we derive a distribution of the heat power which describes well the numerical statistics.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
Astafev Pedag Univ, Krasnoyarsk 660049, Russia
ИФ СО РАН
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation
Dept. of Physics and Measurement, Technology Linkoping University, 5-557 83 Linkoping, Sweden
Astaf'Ev Pedagogical University, 89, Krasnoyarsk, 660049 Lebedeva, Russian Federation

Доп.точки доступа:
Maksimov, D. N.; Максимов, Дмитрий Николаевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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20.

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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