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Accidental bound state in the continuum in a chain of dielectric disks / M. S. Sidorenko, O. N. Sergaeva, Z. F. Sadrieva [et al.] // 2021 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference : IEEE, 2021. - Conference on Lasers and Electro-Optics Europe / European Quantum Electronics Conference (Jun 21-25, 2021, Electr. Network), DOI 10.1109/CLEO/Europe-EQEC52157.2021.9592618. - Cited References: 2. - The work was supported by RFBR (19-02-00419), the grant of the President of the Russian Federation (MK2224.2020.2) and the Foundation for the Advancement of Theoretical Physics and Mathematics BASIS . - ISBN 978-1-6654-1876-8

РУБ Engineering, Electrical & Electronic + Quantum Science & Technology + Optics + Physics, Applied

Аннотация: Dielectric resonators are open systems whose eigenmodes couple to the radiation continuum resulting in nonzero radiation losses. For a long time, it was believed that only guided modes with frequencies below the light line were decoupled from the radiation continuum [1] . In the early 2000’s, several counterexamples of perfectly localized states – i.e. totally decoupled from the radiation continuum – at frequencies above the light line were proposed in dielectric gratings and photonic crystal waveguides [2] . Such states are known as bound states in the continuum (BIC).

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Держатели документа:
ITMO Univ, Dept Phys & Engn, St Petersburg 197101, Russia.
MIT, Elect Res Lab, 50 Vassar St, Cambridge, MA 02139 USA.
Fed Res Ctr KSC SB RAS, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Krasnoyarsk 660041, Russia.

Доп.точки доступа:
Sidorenko, M. S.; Sergaeva, O. N.; Sadrieva, Z. F.; Roques-Carmes, C.; Muraev, P. S.; Мураев, Павел Сергеевич; Maksimov, D. N.; Максимов, Дмитрий Николаевич; Bogdanov, A. A.; RFBRRussian Foundation for Basic Research (RFBR) [19-02-00419]; Russian FederationRussian Federation [MK2224.2020.2]; Foundation for the Advancement of Theoretical Physics and Mathematics BASIS; Conference on Lasers and Electro-Optics Europe; European Quantum Electronics Conference(2021 ; June)
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European Quantum Electronics Conference (2021 ; June ; 21- 25)

Accidental bound state in the continuum in a chain of dielectric disks / M. S. Sidorenko, O. N. Sergaeva, Z. F. Sadrieva [et al.] // Optics InfoBase Conference Papers. - 2021. - 2021 European Quantum Electronics Conference, EQEC 2021 - Part of 2021 Conference on Lasers and Electro-Optics Europe, CLEO 2021 (21 June 2021 through 25 June 2021, Virtual, Online) Conference code: 174130. - Ст. jsi_2_4. - Cited References: 2. - The work was supported by RFBR (19-02-00419), the grant of the President of the Russian Federation (MK-2224.2020.2) and the Foundation for the Advancement of Theoretical Physics and Mathematics BASIS
Аннотация: We experimentally analyze for the first time an off-Gamma BIC in a one-dimensional periodic chain of disks and demonstrate its transformation to a resonant state with the decrease of the chains length.

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Держатели документа:
Department of Physics and Engineering, ITMO University, St. Petersburg, 197101, Russian Federation
Research Laboratory of Electronics, Massachusetts Institute of Technology, 50 Vassar St., Cambridge, MA, United States
Kirensky Institute of Physics, Federal Research Center, KSC, SB, RAS, Krasnoyarsk, 660036, Russian Federation
Siberian Federal University, Krasnoyarsk, 660041, Russian Federation

Доп.точки доступа:
Sidorenko, M. S.; Sergaeva, O. N.; Sadrieva, Z. F.; Roques-Carmes, C.; Muraev, P. S.; Мураев, Павел Сергеевич; Maksimov, D. N.; Максимов, Дмитрий Николаевич; Bogdanov, A. A.; European Quantum Electronics Conference(2021 ; June ; 21- 25)
}
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    Aksenov, S. V.
    Collapse of the Fano resonance caused by the nonlocality of the majorana state / S. V. Aksenov, M. Y. Kagan // JETP Letters. - 2020. - Vol. 111, Is. 5. - P. 286-292, DOI 10.1134/S0021364020050057. - Cited References: 37. - The work was supported by the Presidium of the Russian Academy of Sciences (Program of Basic Research no. 32 "Nanostructures: Physics, Chemistry, Biology, and Fundamentals of Technologies"), by the Russian Foundation for Basic Research (project nos. 19-02-00348, 20-32-70059, and 20-02-00015), and by the Government of the Krasnoyarsk Territory together with the Krasnoyarsk Science Foundation (project no. 19-42-240011 "Coulomb Interactions in the Problem of Majorana Modes in Low-Dimensional Systems with Nontrivial Topology"). S.V. Aksenov acknowledges the support of the Council of the President of the Russian Federation for Support of Young Russian Scientists and Leading Scientific Schools, grant no. MK3722.2018.2. M.Yu. Kagan acknowledges the support of the National Research University Higher School of Economics (program of basic research). . - ISSN 0021-3640. - ISSN 1090-6487
Рубрики:
BOUND-STATES
   QUANTUM TRANSITIONS
   TRANSMISSION
   CONTINUUM
   CASCADE
Аннотация: Owing to the nonlocal character of the Majorana state, the corresponding excitations are of great interest. It is demonstrated that the direct consequence of such nonlocality is the collapse of the Fano resonance manifesting itself in the conductance of an asymmetric interference device, the arms of which are connected by a one-dimensional topological superconductor. In the framework of the spinless model, it is shown that the predicted effect is associated with an increase in the multiplicity of the degeneracy of the zero-energy state of the structure arising at the critical point of the Kitaev model. Such an increase leads to the formation of a bound state in the continuum.

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Публикация на русском языке Аксенов, Сергей Владимирович. Коллапс резонанса Фано вследствие нелокальности майорановского состояния [Текст] / С. В. Аксенов, М. Ю. Каган // Письма в ЖЭТФ. - 2020. - Т. 111 Вып. 5. - С. 321-327

Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Fed Res Ctr KSC, Siberian Branch, Krasnoyarsk 660036, Russia.
Natl Res Univ Higher Sch Econom, Moscow 101000, Russia.
Russian Acad Sci, Kapitza Inst Phys Problems, Moscow 119334, Russia.

Доп.точки доступа:
Kagan, M. Yu.; Аксенов, Сергей Владимирович; Presidium of the Russian Academy of SciencesRussian Academy of Sciences [32]; Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [19-02-00348, 20-32-70059, 20-02-00015]; Krasnoyarsk Science Foundation [19-42-240011]; Government of the Krasnoyarsk Territory; Council of the President of the Russian Federation for Support of Young Russian Scientists and Leading Scientific SchoolsLeading Scientific Schools Program [MK3722.2018.2]; National Research University Higher School of Economics
}
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Aksenov, S. V.
Manifestation of Majorana modes overlap in the Aharonov-Bohm effect / S. V. Aksenov // J. Phys. Condens. Matter. - 2022. - Vol. 34, Is. 25. - Ст. 255301, DOI 10.1088/1361-648X/ac62a7. - Cited References: 52. - We acknowledge fruitful discussions with A D Fedoseev and M S Shustin. The reported study was funded by Russian Foundation for Basic Research (Project No. 20-02-00015), Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science to the research project ‘Study of edge states in one- and two-dimensional topological superconductors’ (No. 20-42-243005) . - ISSN 1361-648X
Кл.слова (ненормированные):
Aharonov–Bohm effect -- spin–orbit interaction -- topological superconductivity -- Majorana bound state -- Majorana mode -- quantum dot -- Kitaev chain
Аннотация: One of the key features of the Majorana bound states emerging in topological superconducting (SC) wires is increasing oscillations of their energy under the growth of magnetic field or chemical potential due to concomitant enhancement of hybridization of the Majorana mode wave functions initially localized at the opposite edges of the structure. In this study we found that the other consequence of it is a shift of Aharonov–Bohm (AB) oscillations of linear-response conductance in an interference device where two ends of the SC wire connected with a normal contact via non-SC wires (arms). In addition, it is accompanied by an oscillation period doubling. The numerical calculations for the spinful system are supported by the analytical results for different spinless models allowing to track the conductance evolution as the hybridization of the Majorana modes increases. It is shown that since the coupling between the different arms and normal contact is implemented only via the different-type Majoranas the AB oscillations acquire a fundamental π/2 shift in comparison with the effect for an analogous system of zero-energy quantum dots.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Akademgorodok street 50/38, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Аксенов, Сергей Владимирович
}
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Aksenov, S. V.
Probing Majorana bound states through an inhomogeneous Andreev double dot interferometer / S. V. Aksenov // Phys. Rev. B. - 2023. - Vol. 107, Is. 8. - Ст. 085417, DOI 10.1103/PhysRevB.107.085417. - Cited References: 60. - We thank A. D. Fedoseev and M. S. Shustin for fruitful discussions. The study was supported by Russian Science Foundation, Project No. 19-12-00167 . - ISSN 2469-9950. - ISSN 2469-9969
Аннотация: In modern experiments with hybrid superconducting (SC)/semiconducting nanowires the presence of zero-energy Andreev bound states (ABSs), characterized by a partial overlap of the Majorana wave functions, is a common problem that significantly complicates the detection of a genuine Majorana bound state (MBS). In this article, taking into account spatial inhomogeneity of experimentally investigated nanowire samples, we study interference transport features of a curved heterostructure in which two normal wires (or arms) are separated by a superconducting wire. Since Andreev reflection on the two N/S interfaces with smoothly changing electrostatic and SC pairing potentials results in the emergence of bound states, the low-energy interference transport is described in the framework of the model of two noninteracting Andreev levels or the Andreev double quantum dot. A set of limiting cases is analyzed allowing us to highlight the interference properties that are unique for the different types of ABSs, such as bulk ABS, inhomogeneous ABS, and MBS. In particular, considerable attention is paid to the features of the Aharonov-Bohm (AB) effect. It is shown that the response of each state can be recognized analyzing both AB period and extrema positions of the conductance oscillations which take place without any fine-tuning of the system parameters.

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

Доп.точки доступа:
Аксенов, Сергей Владимирович
}
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Berman, G. P.
A non-linear resonance in a system of surface-state electrons bound to the helium surface / G. P. Berman, A. R. Kolovsky, G. M. Zaslavsky // Phys. Lett. A. - 1984. - Vol. 105, Is. 9. - P. 483-486, DOI 10.1016/0375-9601(84)91042-9. - Cited References: 24 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary

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Держатели документа:
L.V. Kirensky Institute of Physics, Krasnoyarsk, 660036, Russian Federation
ИФ СО РАН
Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Zaslavsky, G. M.; Заславский, Георгий Моисеевич; Берман, Геннадий Петрович
}
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Bound state in the continuum in 1D chain of dielectric disks: Theory and experiment / M. Balyzin [et al.] // J. Phys. Conf. Ser. - 2018. - Vol. 1092: 3rd International Conference on Metamaterials and Nanophotonics, METANANO 2018 (17 - 21 September 2018). - Ст. 012012, DOI 10.1088/1742-6596/1092/1/012012. - Cited References: 11. - This work is supported by RSF (17-12-01581)
Кл.слова (ненормированные):
1-D chains -- Bound state -- Ceramic disks -- Dielectric disks -- GHz frequencies -- Material loss -- Quadratic growth -- Zero angular momentum
Аннотация: In this work we experimentally observe a symmetry protected optical bound state in the continuum (BIC) with zero angular momentum in 1D array of ceramic disks at GHz frequencies. We analyze the dependence of Q factor of BIC on the number of the disks and the level of the material losses. We confirmed theoretical prediction about quadratic growth of the Q factor with the number of the disks and its following saturation due to material losses.

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Держатели документа:
Department of Nanophotonics and Metamaterials, ITMO University, Saint-Petersburg, Russian Federation
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Balyzin, M.; Sadrieva, Z.; Belyakov, M. A.; Kapitanova, P.; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Bogdanov, A.; International Conference on Metamaterials and Nanophotonics(3rd ; 17 - 21 September 2018 ; Sochi, Russian Federation)
}
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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 acoustic resonators / A. A. Lyapina [et al.] // J. Fluid Mech. - 2015. - Vol. 780. - P. 370-387, DOI 10.1017/jfm.2015.480. - Cited References: 48. - This work has been supported by Russian Science Foundation through grant 14-12-00266. . - ISSN 0022-1120
   Перевод заглавия: Связанное состояние в континууме в открытом акустическом резонаторе

РУБ Mechanics + Physics, Fluids & Plasmas
Рубрики:
TRAPPED MODES
   FANO RESONANCES
   COMPLEX RESONANCES
   PARALLEL PLATES
   SIDE-BRANCHES
   WAVE-GUIDES
   ABSORPTION
   TRANSPORT
   CHANNELS
   SYSTEM
Кл.слова (ненормированные):
aeroacoustics -- noise control -- wave scattering
Аннотация: We consider bound states in the continuum (BSCs) or embedded trapped modes in two- and three-dimensional acoustic axisymmetric duct-cavity structures. We demonstrate numerically that, under variation of the length of the cavity, multiple BSCs occur due to the Friedrich-Wintgen two-mode full destructive interference mechanism. The BSCs are detected by tracing the resonant widths to the points of the collapse of Fano resonances where one of the two resonant modes acquires infinite life-time. It is shown that the approach of the acoustic coupled mode theory cast in the truncated form of a two-mode approximation allows us to analytically predict the BSC frequencies and shape functions to a good accuracy in both two and three dimensions. © 2015 Cambridge University Press.

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Держатели документа:
L.V. Kirensky Institute of Physics, Krasnoyarsk, Russian Federation
Siberian Federal University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Lyapina, A. A.; Ляпина, Алина Андреевна; Maksimov, D. N.; Максимов, Дмитрий Николаевич; Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Sadreev, A. F.; Садреев, Алмаз Фаттахович
}
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10.

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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11.

Bound states in the continuum protected by reduced symmetry of three-dimensional open acoustic resonators / B. Jia, L. Huang, A. S. Pilipchuk [et al.] // Phys. Rev. Appl. - 2023. - Vol. 19, Is. 5. - Ст. 054001, DOI 10.1103/PhysRevApplied.19.054001. - Cited References: 30. - L. Huang and A.E. Miroshnichenko were supported by the Australian Research Council Discovery Project (DP200101353) and the UNSW Scientia Fellowship program. B. Jia, S. Huang, and Y. Li are supported by the National Natural Science Foundation of China (Grant No. 12074286), and Shanghai Science and Technology Committee under Grant No. 21JC1405600 . - ISSN 2331-7019
Аннотация: Bound states in the continuum (BICs) have been demonstrated as a powerful tool for trapping acoustic fields in an acoustic resonator. It has been widely recognized that symmetry-protected (SP) BICs result from symmetry incompatibility of some eigenmodes of a resonator with propagating modes of waveguides. The most typical example of SP BIC is the odd eigenmode of the resonator with the eigenfrequency embedded into the propagating band of even propagating eigenmodes of the waveguide. In this work, we consider a more sophisticated case of an acoustic cuboid resonator that is opened by the attachment of two cylindrical waveguides. We show that BICs can be sustained in an open acoustic resonator with reduced symmetry. For symmetrical positions of waveguides, the eigenmodes of the cuboid can also be classified as SP BICs and show different stability against the shifts of waveguides from the positions of symmetry of the cuboid. We fabricate a series of coupled waveguide resonators and experimentally verify the existence of these BICs by identifying the vanished linewidth of Fano resonance in transmission spectra. Besides, we also show that evanescent modes of waveguides play a role in the formation of BICs in a nonaxisymmetric waveguide-resonator system by tuning the angle θ between two waveguides. Consequently, the eigenmodes remain SP BICs for θ = 0° and θ = 180° but convert into accidental BICs at θ ≈ 85° or θ ≈ 275°. Such accidental BICs are also experimentally verified. Our results enrich the understanding of SP BICs and accidental BICs, and provide alternative methods of routing acoustic waves and designing acoustic devices requiring fine spectrum features, such as filters and sensors.

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Держатели документа:
Institute of Acoustics, Tongji University, Shanghai, 200092, People's Republic of China
School of Physics and Electronic Sciences, East China Normal University, Shanghai, 200241, People's Republic of China
School of Engineering and Information Technology, University of New South Wales, Canberra, Northcott Drive, Australian Capital Territory, 2600, Australia
L. V. Kirensky Institute of Physics, Federal Research Center KSC Siberian Branch, RAN, Krasnoyarsk 660036, Russia
Department of Mechanical Engineering, Rowan University, Glassboro, New Jersey, 08028, USA

Доп.точки доступа:
Jia, Bin; Huang, Lujun; Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Huang, Sibo; Shen, Chen; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Li, Yong; Miroshnichenko, Andrey E.
}
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12.

    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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13.

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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14.

    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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15.

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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16.

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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17.

    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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18.

    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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19.

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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20.

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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