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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) : 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) : 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 : Bound states in the continuum with high orbital angular momentum in a dielectric rod with periodically modulated permittivity
Коллективы : Ministry of Education and Science of Russian Federation [N 3.1845.2017]; RFBR [16-02-00314]
Место публикации : Phys. Rev. A: American Physical Society, 2017. - Vol. 96, Is. 1. - Ст.013841. - ISSN 2469-9926, DOI 10.1103/PhysRevA.96.013841. - ISSN 2469-9934(eISSN)
Примечания : Cited References:38. - We acknowledge discussions with D. N. Maksimov and A. S. Aleksandrovsky. This work was partially supported by Ministry of Education and Science of Russian Federation (State Contract No. N 3.1845.2017) and RFBR Grant No. 16-02-00314.
Предметные рубрики: PHOTONIC CRYSTAL SLABS
LIGHT-CONE
RESONANCES
SPHERES
RADIATION
Аннотация: We report bound states in the radiation continuum (BICs) in a single infinitely long dielectric rod with periodically stepwise modulated permittivity alternating from ε1 to ε2. For ε2 = 1 in air the rod is equivalent to a stack of dielectric disks with permittivity ε1. Because of rotational and translational symmetries the BICs are classified by orbital angular momentum m and the Bloch wave vector beta directed along the rod. For m = 0 and β = 0 the symmetry protected BICs have definite polarization and occur in a wide range of the radius of the rod and the dielectric permittivities. More involved BICs with m ≠ 0, β = 0 exist only for a selected radius of the rod at a fixed dielectric constant. The existence of robust Bloch BICs with β ≠ 0, m = 0 is demonstrated. Asymptotic limits to a homogeneous rod and to very thin disks are also considered.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Nazmitdinov R. G., Pichugin K. N., Rotter I., Seba P.
Заглавие : Conductance of open quantum billiards and classical trajectories
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2002. - Vol. 66, Is. 8. - Ст.85322. - ISSN 1098-0121, DOI 10.1103/PhysRevB.66.085322
Примечания : Cited References: 46
Предметные рубрики: BALLISTIC MICROSTRUCTURES
CHAOTIC SCATTERING
FLUCTUATIONS
DOTS
TRANSPORT
DYNAMICS
STATES
MAGNETOTRANSPORT
STATISTICS
RESONANCES
Аннотация: We analyze the transport phenomena of two-dimensional quantum billiards with convex boundary of different shape. The quantum mechanical analysis is performed by means of the poles of the S matrix while the classical analysis is based on the motion of a free particle inside the cavity along trajectories with a different number of bounces at the boundary. The value of the conductance depends on the manner in which the leads are attached to the cavity. The Fourier transform of the transmission amplitudes is compared with the length of the classical paths. There is good agreement between classical and quantum mechanical results when the conductance is achieved mainly by special short-lived states such as whispering gallery modes and bouncing ball modes. In these cases, also the localization of the wave functions agrees with the picture of the classical paths. The S matrix is calculated classically and compared with the transmission coefficients of the quantum mechanical calculations for five modes in each lead. The number of modes coupled to the special states is effectively reduced.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Sadrieva Z. F., Belyakov M. A., Balezin M. A., Kapitanova P. V., Nenasheva E. A., Sadreev A. F., Bogdanov A. A.
Заглавие : Experimental observation of a symmetry-protected bound state in the continuum in a chain of dielectric disks
Коллективы : Russian Science Foundation [17-12-01581]; RFBR [18-32-20205]; Ministry of Education and Science of the Russian Federation [3.1668.2017/4.6]; Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS"
Место публикации : Phys. Rev. A. - 2019. - Vol. 99, Is. 5. - Ст.053804. - ISSN 2469-9926, DOI 10.1103/PhysRevA.99.053804. - ISSN 2469-9934(eISSN)
Примечания : Cited References:61. - The numerical simulations and experimental part of this work were supported by the Russian Science Foundation (Grant No. 17-12-01581), and the analytical calculations were supported by RFBR (Grant No. 18-32-20205) and the Ministry of Education and Science of the Russian Federation (3.1668.2017/4.6). The authors are thankful to Andrey Sayanskiy for assistance in the holder fabrication. A.A.B. and Z.F.S. acknowledge the Foundation for the Advancement of Theoretical Physics and Mathematics "BASIS" for valuable financial support.
Предметные рубрики: LIGHT
RESONANCES
RADIATION
MOMENTUM
BEHAVIOR
LAYER
Аннотация: The existence of bound states in the continuum (BIC) manifests a general wave phenomenon first predicted in quantum mechanics by John von Neumann and Eugene Wigner [J. von Neumann and E. Wigner, Phys. Z. 30, 465 (1929)]. Today it is being actively explored in photonics, radiophysics, acoustics, and hydrodynamics. We report an experimental observation of an electromagnetic bound state in the radiation continuum in a one-dimensional array of dielectric particles. By measurement of the transmission spectra of the ceramic disk chain at GHz frequencies, we demonstrate how a resonant state in the vicinity of the center of the Brillouin zone turns into a symmetry-protected BIC with increase in the number of the disks. We estimate a number of the disks when the radiation losses become negligible in comparison to material absorption and, therefore, the chain could be considered practically as infinite. The presented analysis is supplemented by measurements of the near fields of the symmetry-protected BIC. All measurements are in a good agreement with the results of the numerical simulation and analytical model based on a tight-binding approximation. The obtained results provide useful guidelines for practical implementations of structures with bound states in the continuum that opens up horizons for the development of optical and radio-frequency metadevices.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : Fibers based on propagating bound states in the continuum
Коллективы : Ministry of Education and Science of Russian Federation [3.1845.2017]; RFBR [16-02-00314, 17-52-45072]
Место публикации : Phys. Rev. B. - 2018. - Vol. 98, Is. 8. - Ст.085301. - ISSN 2469-9950, DOI 10.1103/PhysRevB.98.085301. - ISSN 2469-9969(eISSN)
Примечания : Cited References: 40. - The authors thank D. N. Maksimov for assistance and discussions. This work was partially supported by the Ministry of Education and Science of Russian Federation (State Contract No. 3.1845.2017) and the RFBR Grants No. 16-02-00314 and No. 17-52-45072.
Предметные рубрики: PHOTONIC CRYSTAL SLABS
LIGHT
RESONANCES
RADIATION
ARRAYS
Аннотация: We show that a circular periodic array of silicon dielectric cylinders supports nearly bound states in the continuum (BICs) propagating along the cylinders. These propagating nearly BICs with extremely large-Q factors are surrounded by resonant modes weakly leaking into the radiation continuum. We present leaky zones in the form of dispersion curves for complex eigenfrequencies dependent on propagation constant kz, with the wave vector directed along the cylinders in the vicinity of different types of BICs. Symmetry-protected nearly BICs have the resonant width proportional to squared propagation constant Γ∼k2z; the widths of non-symmetry-protected nearly BICs behave as Γ∼(kz−kc)2, where kc and non-symmetry-protected nearly BICs have the resonant width proportional to k4z. The latter propagating nearly BICs can serve for the transmission of a electromagnetic signal paving a way to a different type of optical fiber. We also demonstrate weakly leaking resonant modes which carry orbital angular momentum.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Alekseev K. N., Cannon E. H., Kusmartsev F. V., Campbell D. K.
Заглавие : Fractional and unquantized dc voltage generation in THz-driven semiconductor superlattices
Место публикации : Europhys. Lett. - 2001. - Vol. 56, Is. 6. - P.842-848. - ISSN 0295-5075, DOI 10.1209/epl/i2001-00596-9
Примечания : Cited References: 40
Предметные рубрики: BLOCH OSCILLATIONS
SYMMETRY-BREAKING
ELECTRIC-FIELD
FREQUENCY
TRANSPORT
CHAOS
RESONANCES
RADIATION
Аннотация: We consider the spontaneous creation of a dc voltage across a strongly coupled semiconductor superlattice subjected to THz radiation. We show that the dc voltage may be approximately proportional either to an integer or to a half-integer multiple of the frequency of the applied ac field, depending on the ratio of the characteristic scattering rates of conducting electrons. For the case of an ac field frequency less than the characteristic scattering rates, we demonstrate the generation of an unquantized dc voltage.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Maksimov D. N.
Заглавие : Light guiding above the light line in arrays of dielectric nanospheres
Место публикации : Opt. Lett.: Optical Society of America, 2016. - Vol. 41, Is. 16. - P.3888-3891. - ISSN 01469592 (ISSN), DOI 10.1364/OL.41.003888
Примечания : Cited References: 46. - Russian Foundation for Basic Research (RFBR) (16-02-00314).
Предметные рубрики: SUBWAVELENGTH WAVE-GUIDES
OPTICAL MODES
NANOPARTICLES
CHAINS
RESONANCES
PARTICLES
SPHERES
Аннотация: We consider light propagation above the light line in arrays of spherical dielectric nanoparticles. It is demonstrated numerically that quasi-bound leaky modes of the array can propagate both stationary waves and light pulses to a distance of 60 wavelengths at the frequencies close to the bound states in the radiation continuum. A semi-analytical estimate for decay rates of the guided waves is found to match the numerical data to a good accuracy. © 2016 Optical Society of America.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Exner P., Pichugin K. N., Sadreev A. F.
Заглавие : Multiple bound states in scissor-shaped waveguides
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 2002. - Vol. 66, Is. 15. - Ст.155109. - ISSN 1098-0121, DOI 10.1103/PhysRevB.66.155109
Примечания : Cited References: 32
Предметные рубрики: QUANTUM WAVE-GUIDES
HELMHOLTZ EQUATION
RADIATION-FIELD
HALL RESISTANCE
RESONANCES
WIRES
PROPAGATION
MODES
Аннотация: We study bound states of the two-dimensional Helmholtz equations with Dirichlet boundary conditions in an open geometry given by two straight leads of the same width which cross at an angle theta. Such a four-terminal junction with a tunable theta can realized experimentally if a right-angle structure is filled by a ferrite. It is known that for theta=90degrees there is one proper bound state and one eigenvalue embedded in the continuum. We show that the number of eigenvalues becomes larger with increasing asymmetry and the bound-state energies are increasing as functions of theta in the interval (0,90degrees). Moreover, states which are sufficiently strongly bound exist in pairs with a small energy difference and opposite parities. Finally, we discuss how the bound states transform with increasing theta into quasibound states with a complex wave vector.
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