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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : All-optical diode based on dipole modes of Kerr microcavity in asymmetric L-shaped photonic crystal waveguide
Коллективы : RFBR [13-02-00497]
Место публикации : Opt. Lett.: Optical Society of America, 2014. - Vol. 39, Is. 7. - P.1787-1790. - ISSN 0146-9592, DOI 10.1364/OL.39.001787. - ISSN 1539-4794
Примечания : Cited References: 14. - This work was partially supported by RFBR grant 13-02-00497
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Vetrov S.Ya., Timofeev I. V., Rudakova N. V.
Заглавие : Band structure of a two-dimensional resonant photonic crystal
Место публикации : Phys. Solid State: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2010. - Vol. 52, Is. 3. - P.527-532. - ISSN 1063-7834, DOI 10.1134/S1063783410030133
Примечания : Cited References: 16. - This study was supported by the Council on Grants from the President of the Russian Federation (grant nos. 3818.2008.3 and 1292.2008.2), the Ministry of Education and Science of the Russian Federation within the framework of the program "Development of the Scientific Potential of the Higher School" (RNP no. 2.1.1/3455), the Presidium of the Russian Academy of Sciences (project no. 27.1), and the Siberian Branch of the Russian Academy of Science (project nos. 5 and 144).
Предметные рубрики: TRANSMISSION
LASER
Аннотация: The band structure of two-dimensional resonant photonic crystals of two types has been calculated using the expansion of eigenfunctions in plane waves. Crystals of one type consist of infinite dielectric cylinders forming a square lattice filled with a resonant gas, and crystals of the other type consist of infinite cylindrical holes filled with a resonant gas and forming a square lattice in a dielectric matrix. It has been shown that, in both cases, the dispersion of a resonant gas in combination with the dispersion of a two-dimensional structure with a photonic band gap leads to the appearance of an additional narrow transmission band near the edge of the band gap or an additional band gap in the continuous spectrum of the photonic crystal. The calculations performed have demonstrated that new dispersion properties substantially depend on the density of the resonant gas, the position of the resonant frequency with respect to the edge of the band gap, and the direction of propagation of electromagnetic waves.
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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 with nonlinear off-channel defects
Коллективы :
Место публикации : Phys. Rev. B: AMER PHYSICAL SOC, 2010. - Vol. 81, Is. 11. - Ст.115128. - ISSN 1098-0121, DOI 10.1103/PhysRevB.81.115128
Примечания : 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.
Предметные 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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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) : Sadreev A. F., Bulgakov E. N., Rotter I.
Заглавие : Bound states in the continuum in open quantum billiards with a variable shape
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2006. - Vol. 73, Is. 23. - Ст.235342. - ISSN 1098-0121, DOI 10.1103/PhysRevB.73.235342
Примечания : Cited References: 24
Предметные рубрики: TRANSMISSION
RESONANCES
ELECTRON
DYNAMICS
Аннотация: We show the existence of bound states in the continuum (BICs) in quantum billiards (QBs) that are opened by attaching single-channel leads to them. They may be observed by varying an external parameter continuously, e.g., the shape of the QB. At some values of the parameter, resonance states with vanishing decay width (the BICs) occur. They are localized almost completely in the interior of the closed system. The phenomenon is shown analytically to exist in the simplest case of a two level QB and is complemented by numerical calculations for a real QB.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Bound states in the continuum in photonic waveguides inspired by defects
Место публикации : Phys. Rev. B: AMER PHYSICAL SOC, 2008. - Vol. 78, Is. 7. - Ст.75105. - ISSN 1098-0121, DOI 10.1103/PhysRevB.78.075105
Примечания : Cited References: 53
Предметные 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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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) : Aksenov S. V., Kagan, M. Yu.
Заглавие : Collapse of the Fano resonance caused by the nonlocality of the majorana state
Коллективы : 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
Место публикации : JETP Letters. - 2020. - Vol. 111, Is. 5. - P.286-292. - ISSN 0021-3640, DOI 10.1134/S0021364020050057. - ISSN 1090-6487(eISSN)
Примечания : 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).
Предметные 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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Maksimov D. N., Sadreev A. F., Lyapina A. A., Pilipchuk A. S.
Заглавие : Coupled mode theory for acoustic resonators
Коллективы : Russian Science Foundation [14-12-00266]
Место публикации : Wave Motion: Elsevier Science, 2015. - Vol. 56. - P.52-66. - ISSN 0165, DOI 10.1016/j.wavemoti.2015.02.003. - ISSN 1878433X(eISSN)
Примечания : Cited References:42. - We thank K.N. Pichugin for helpful discussions. The work was supported by grant 14-12-00266 from Russian Science Foundation.
Предметные рубрики: WAVE-GUIDES
TRAPPED MODES
DISCONTINUITIES
TRANSMISSION
BILLIARDS
Ключевые слова (''Своб.индексиров.''): coupled mode theory--non-hermitian hamiltonian--acoustic resonator--s-matrix
Аннотация: We develop the effective non-Hermitian Hamiltonian approach for open systems with Neumann boundary conditions. The approach can be used for calculating the scattering matrix and the scattering function in open resonator–waveguide systems. In higher than one dimension the method represents acoustic coupled mode theory in which the scattering solution within an open resonator is found in the form of expansion over the eigenmodes of the closed resonator decoupled from the waveguides. The problem of finding the transmission spectra is reduced to solving a set of linear equations with a non-Hermitian matrix whose anti-Hermitian term accounts for coupling between the resonator eigenmodes and the scattering channels of the waveguides. Numerical applications to acoustic two-, and three-dimensional resonator–waveguide problems are considered.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Current-voltage characteristics of the resonant tunnelling double-barrier structure under time-periodical perturbation
Место публикации : J. Phys.: Condens. Matter: IOP PUBLISHING LTD, 1996. - Vol. 8, Is. 45. - P.8869-8887. - ISSN 0953-8984, DOI 10.1088/0953-8984/8/45/020
Примечания : Cited References: 38
Предметные 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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