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1.


    Pichugin, K. N.
    A series of avoided crossings of resonances in the system of several different dielectric resonators results in giant Q-factors / K. Pichugin, A. Sadreev, E. Bulgakov // Photonics. - 2023. - Vol. 10, Is. 9. - Ст. 973, DOI 10.3390/photonics10090973. - Cited References: 64. - This work is supported by the Russian Science Foundation under grant 22-12-00070 . - ISSN 2304-6732
Кл.слова (ненормированные):
resonant modes -- avoided crossing -- high Q-factor
Аннотация: On an example of a system of three/four/five/six different coupled coaxial silicon disks, we realize a series of avoided crossings of resonances (ACRs) with respect to the different morphologies for the different scales of each disk. Each next step of ACR accompanied by the optimization processes of all previous ACRs contributes almost one order of magnitude to the Q-factor. As a result, we achieve unprecedented values for the Q-factors: 6.6·104 for three, 4.8·106 for four, 8.5·107 for five and several billions for six free standing silicon disks. Comparisons to such prominent methods as whispering gallery modes or quasi bound states in the continuum to boost the Q-factor demonstrate the tremendous advantage of the present approach not only in terms of Q-factor values but also in terms of mode volumes. Multipole analysis of the final hybridized resonant mode explains such extremely large Q-factor values. The analysis shows a strong redistribution of radiation owing to the almost-exact destructive interference of the dominating complex multipole radiation amplitudes.

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

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Пичугин, Константин Николаевич
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2.


    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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3.


    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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4.


    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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5.


    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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6.


    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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7.


    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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8.


   
    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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9.


    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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