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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : High-Q resonant modes in a finite array of dielectric particles
Коллективы : Ministry of Education and Science of the Russian Federation [3.1845.2017]; RFBR [19-02-00055]
Место публикации : Phys. Rev. A. - 2019. - Vol. 99, Is. 3. - Ст.033851. - ISSN 2469-9926, DOI 10.1103/PhysRevA.99.033851. - ISSN 2469-9934(eISSN)
Примечания : Cited References: 58. - We acknowledge discussions with D. N. Maksimov. This work was partially supported by the Ministry of Education and Science of the Russian Federation (State Contract No. 3.1845.2017) and RFBR Grant No. 19-02-00055.
Предметные рубрики: OPTICAL BOUND-STATES
PERIODIC ARRAY
CONTINUUM
LIGHT
ENHANCEMENT
Аннотация: We trace the Q factor of the resonant modes which are limited to bound states in the continuum (BICs) for N=∞ in the finite array of N dielectric spheres and disks. For the symmetry-protected BICs we observe the quadratic dependence of the Q factor on N for high-refractive-index particles, while for low-refractive-index particles there is an interplay between the quadratic and cubic dependencies. The Q factor of accidental BICs grows cubically with N. We show that a plane wave can excite these quasi-BICs for tuning of the angle of incidence.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Maksimov D. N.
Заглавие : Nonlinear response from optical bound states in the continuum
Коллективы : Ministry of Education and Science of Russian Federation [N 3.1845.2017/4.6]
Место публикации : Sci Rep. - 2019. - Vol. 9. - Ст.7153. - ISSN 2045-2322, DOI 10.1038/s41598-019-43672-y
Примечания : Cited References: 48. - This work was supported by Ministry of Education and Science of Russian Federation (state contract N 3.1845.2017/4.6). We appreciate discussions with Ya Yan Lu, Lijun Yuan, Andrey M. Vyunishev, and Ivan V. Timofeev.
Предметные рубрики: WAVE-GUIDE
WAVELENGTH
RESONANCES
SILICON
LIGHT
Аннотация: We consider nonlinear effects in scattering of light by a periodic structure supporting optical bound states in the continuum. In the spectral vicinity of the bound states the scattered electromagnetic field is resonantly enhanced triggering optical bistability. Using coupled mode approach we derive a nonlinear equation for the amplitude of the resonant mode associated with the bound state. We show that such an equation for the isolated resonance can be easily solved yielding bistable solutions which are in quantitative agreement with the full-wave solutions of Maxwell's equations. The coupled mode approach allowed us to cast the the problem into the form of a driven nonlinear oscillator and analyze the onset of bistability under variation of the incident wave. The results presented drastically simplify the analysis nonlinear Maxwell's equations and, thus, can be instrumental in engineering optical response via bound states in the continuum.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Maksimov D. N.
Заглавие : Bound states in the continuum and Fano resonances in the Dirac cone spectrum
Коллективы : Ministry of Higher Education and Science of the Russian Federation [N 3.1845.2017/4.6]
Место публикации : J. Opt. Soc. Am. B. - 2019. - Vol. 36, Is. 8. - P.2221-2225. - ISSN 0740-3224, DOI 10.1364/JOSAB.36.002221. - ISSN 1520-8540(eISSN)
Примечания : Cited References: 33. - Ministry of Higher Education and Science of the Russian Federation (State Contract N 3.1845.2017/4.6).
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Maksimov D. N.
Заглавие : Avoided crossings and bound states in the continuum in low-contrast dielectric gratings
Коллективы : Ministry of Education and Science of the Russian Federation [3.1845.2017/4.6]
Место публикации : Phys. Rev. A. - 2018. - Vol. 98, Is. 5. - Ст.053840. - ISSN 2469-9926, DOI 10.1103/PhysRevA.98.053840. - ISSN 2469-9934(eISSN)
Примечания : 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.
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Maksimov D. N.
Заглавие : Optical response induced by bound states in the continuum in arrays of dielectric spheres
Коллективы : Ministry of Education and Science of the Russian Federation (Minobrnauka) [N 3.1845.2017]; Russian Foundation for Basic Research (RFBR) [16-02-00314]
Место публикации : J. Opt. Soc. Am. B. - 2018. - Vol. 35, Is. 10. - P.2443-2452. - ISSN 0740-3224, DOI 10.1364/JOSAB.35.002443. - ISSN 1520-8540(eISSN)
Примечания : Cited References: 51. - Ministry of Education and Science of the Russian Federation (Minobrnauka) (State Contract N 3.1845.2017); Russian Foundation for Basic Research (RFBR) (16-02-00314).
Предметные рубрики: COUPLED-MODE THEORY
LIGHT LINE
ENHANCEMENT
TRANSMISSION
TRANSITION
Аннотация: We consider an optical response induced by bound states in the continuum (BICs) in arrays of dielectric spheres. By combining the quasi-mode expansion technique with coupled mode theory (CMT), we put forward a theory of the optical response by high-Q resonance surrounding BICs in momentum space. The central results are analytical expressions for the CMT parameters, which can be easily calculated from the eigenfrequencies and eigenvectors of the interaction matrix of the scattering systems. The results obtained are verified in comparison against exact numerical solutions to demonstrate that the CMT approximation is capable of reproducing Fano features in the spectral vicinity of the BIC. Based on the quasi-mode expansion technique, we derived the asymptotic scaling law for the CMT parameters in the vicinity of the Γ-point. It is rigorously demonstrated that the linewidth in the CMT approximation exhibits different asymptotic behavior depending on the symmetry of the BIC.
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Guiding electromagnetic waves through the bound states in the radiation continuum in novel types
Коллективы : International Conference on Metamaterials, Photonic Crystals and Plasmonics
Место публикации : The 9th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META’18): Program/ spec. sess. org. A. F. Sadreev [et al.]. - 2018. - Session 4A10: Fano Resonances in Optics and Microwaves: Physics and Application III. - P.78
Примечания : Материалы конференции публикуются в журналах: Nanophotonics, Applied Physics A, Optical Materials Express, Advanced Electromagnetics
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Bulgakov E. N., Maksimov D. N.
Заглавие : On bound states in the continuum in dielectric gratings
Коллективы : International Conference on Metamaterials, Photonic Crystals and Plasmonics
Место публикации : The 9th International Conference on Metamaterials, Photonic Crystals and Plasmonics (META’18): Program/ spec. sess. org. A. F. Sadreev [et al.]. - 2018. - Session 4A3: Fano Resonances in Optics and Microwaves: Physics and Application II. - P.71
Примечания : Материалы конференции публикуются в журналах: Nanophotonics, Applied Physics A, Optical Materials Express, Advanced Electromagnetics
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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Вид документа : Статья из сборника (выпуск продолж. издания)
Шифр издания :
Автор(ы) : Bychek A. A., Muraev P. S., Maksimov D. N., Bulgakov E. N., Kolovsky A. R.
Заглавие : Chaotic and regular dynamics in the three-site Bose-Hubbard model
Коллективы : International Conference on Quantum Technologies
Место публикации : AIP Conf. Proc. - 2020. - Vol. 2241. - Ст.020007. - DOI 10.1063/5.0011540
Примечания : Cited References: 30. - This work has been supported through Russian Science Foundation Grant N19-12-00167
Аннотация: We analyze the energy spectrum of the three-site Bose-Hubbard model. It is shown that this spectrum is a mixture of the regular and irregular spectra associated with the regular and chaotic components of the classical Bose-Hubbard model. We find relative volumes of these components by using the pseudoclassical approach. Substituting these values in the Berry-Robnik distribution for the level spacing statistics we obtain good agreement with the numerical data.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Maksimov D. N., Bogdanov A. A., Bulgakov E. N.
Заглавие : Optical bistability with bound states in the continuum in dielectric gratings
Коллективы : Government of the Russian Federation through the ITMO Fellowship; Ministry of Science and Higher Education of Russian Federation, goszadanie [2019-1246]; RFBRRussian Foundation for Basic Research (RFBR) [18-32-20205]
Место публикации : Phys. Rev. A. - 2020. - Vol. 102, Is. 3. - Ст.033511. - ISSN 2469-9926, DOI 10.1103/PhysRevA.102.033511. - ISSN 2469-9934(eISSN)
Примечания : Cited References: 53. - This work was financially supported by the Government of the Russian Federation through the ITMO Fellowship and Professorship Program. A.A.B. also acknowledges support by the Ministry of Science and Higher Education of Russian Federation, goszadanie No. 2019-1246 and RFBR (18-32-20205)
Предметные рубрики: COUPLED-MODE THEORY
WAVE-GUIDE
TRANSITION
RESONANCE
ARRAYS
Аннотация: We consider light scattering by dielectric gratings supporting optical bound states in the continuum. Due to the presence of instantaneous Kerr nonlinearity critical field enhancement in the spectral vicinity of the bound state triggers the effect of optical bistability. The onset of bistability is explained theoretically in the framework of the temporal coupled-mode theory. As the central result we cast the problem in the form of a single field-driven nonlinear oscillator. The theoretical results are verified in comparison with numerical simulations.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Resonant bending of silicon nanowires by incident light
Место публикации : Opt. Lett. - 2020. - Vol. 45, Is. 19. - P.5315-5318. - ISSN 01469592 (ISSN), DOI 10.1364/OL.406109
Примечания : Cited References: 29
Аннотация: Coupling of two dielectric wires with a rectangular cross section gives rise to bonding and anti-bonding resonances. The latter is featured by extremal narrowing of the resonant width for variation of the aspect ratio of the cross section and distance between wires. A plane wave resonant to this anti-bonding resonance gives rise to unprecedent enhancement of the optical forces up to several nano Newtons per micrometer length of the wires. The forces oscillate with the angle of incidence of the plane wave but always try to repel the wires. If the wires are fixed at the ends, the light power 1.5mW/µm2 bends wires with length 50 µm by order 100 nm.
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