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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev E. N.
Заглавие : Bloch bound states in the radiation continuum in a periodic array of dielectric rods
Коллективы : Russian Science Foundation [14-12-00266]
Место публикации : Phys. Rev. A: American Physical Society, 2014. - Vol. 90, Is. 5. - Ст.53801. - ISSN 1050-2947, DOI 10.1103/PhysRevA.90.053801. - ISSN 1094-1622
Примечания : 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.
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sadreev A. F., Pilipchuk A. S.
Заглавие : Bound states in the continuum in zigzag quantum wire enforced by a finger gate
Коллективы : Russian Foundation for Basic Research [14-12-00266]
Место публикации : JETP Letters. - 2015. - Vol. 100, Is. 9. - P.585-590. - ISSN 0021, DOI 10.1134/S0021364014210139. - ISSN 10906487(eISSN)
Примечания : Cited References:41. - This work was supported by the Russian Foundation for Basic Research(project no. 14-12-00266).
Предметные рубрики: WAVE-GUIDE
DOUBLE-BEND
SYSTEMS
TRANSMISSION
RESONANCES
ELECTRON
Аннотация: We consider electron transport in a zigzag quantum wire by the effect of finger gate potential. Using a non-Hermitian effective Hamiltonian, we calculate resonance positions and widths to show that the resonance widths are easily governed by the gate potential. In particular, the resonance width can be enforced to be equal to zero, which leads to an electron localization with the Fermi energy embedded in the propagation band of the wire, i.e., the bound state in the continuum (BSC). We show that, for positive values of the potential, a zigzag wire becomes a Fabry-Perot resonator to give rise to BSC too.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Formation of bound states in the continuum for a quantum dot with variable width
Место публикации : Phys. Rev. B: AMER PHYSICAL SOC, 2011. - Vol. 83, Is. 23. - Ст.235321. - ISSN 1098-0121, DOI 10.1103/PhysRevB.83.235321
Примечания : Cited References: 61
Предметные рубрики: NUCLEAR REACTIONS
RADIATION-FIELD
UNIFIED THEORY
WAVE-GUIDE
TRANSMISSION
SCATTERING
BILLIARDS
ELECTRON
Аннотация: We consider mechanisms of formation of the bound states in the continuum in open rectangular quantum dots with variable width. Because of symmetry there might be bound states in the continuum (BSCs) embedded into one, two, and three continua because of the symmetry of system. These BSCs arise for selected values of the width. We show numerically that the BSCs can be excited for transmission of wave packets if the quantum dot width is varied in time and reaches these selected values of dot width. Moreover, we consider numerically a decay process of different eigenstates in the closed quantum dot to show that some of them trap in the BSC after the quantum dot is opened.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Pichugin K. N., Sadreev A. F., Rotter I.
Заглавие : Bound states in the continuum in open Aharonov-Bohm rings
Место публикации : JETP Letters. - 2006. - Vol. 84, Is. 8. - P.430-435. - ISSN 0021-3640, DOI 10.1134/S0021364006200057
Примечания : Cited References: 33
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Bound States in Photonic Fabry-Perot Resonator Comprised of Two Nonlinear Off-Channel Defects
Коллективы : Russian Foundation for Basic Research [09-02-98005-Siberia]
Место публикации : JETP Letters. - 2009. - Vol. 90, Is. 12. - P.744-749. - ISSN 0021-3640, DOI 10.1134/S0021364009240023
Примечания : 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.
Предметные 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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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) : 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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