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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pichugin K. N., Sadreev A. F., Bulgakov E. N.
Заглавие : A series of avoided crossings of resonances in the system of several different dielectric resonators results in giant Q-factors
Колич.характеристики :15 с
Место публикации : Photonics. - 2023. - Vol. 10, Is. 9. - Ст.973. - ISSN 23046732 (eISSN), DOI 10.3390/photonics10090973
Примечания : Cited References: 64. - This work is supported by the Russian Science Foundation under grant 22-12-00070
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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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Fedorov A. S., Sadreev A. F.
Заглавие : Ab-initio investigation of thermoactivated directional transport of hydrogen molecules inside narrow carbon nanotubes
Место публикации : Phys. Status Solidi B. - 2009. - Vol. 246: 23rd Winterschool on Electronic Properties of Novel Materials (MAR 14, 2009, Kirchberg, GERMANY), Is. 11. - P.2598-2601. - ISSN 0370-1972, DOI 10.1002/pssb.200982285
Примечания : Cited References: 21. - A.S.Fedorov thanks the Institute of Computer Modeling (Krasnoyarsk, Russia) and the Joint Supercomputer Center (Moscow) for an assistence in quantum chemical calculations.
Предметные рубрики: DIFFUSION
ENERGY
Аннотация: Using the pseudopotential DFT and the empirical potential methods we calculate the potential acting to the hydrogen molecules in narrow single-wall carbon nanotubes (SWCNT) (6,0),(7,0) and (3,3). The potential forms a goffered potential surface and can be approximated as V(z, r, phi) approximate to V(0) sin(2 pi z/a) + V(r). We show that in these SWCNTs transport of molecules is given mainly by thermoactivated hoppings between minima of the periodic potential along the tube axis. Taking into account that hydrogen density distribution inside nanotube is stationary and assuming the temperature is changed linearly along the SWCNT length we show that the H(2) density is sufficiently variated, especially for the case of (6,0)SWCNT where the density on both SWCNT ends are different at similar to 30 times when the temperature is changed along the SWCNT from 300K to 1200K. Suppose that H2 molecules can penetrate in the both open SWCNT ends, the molecules would move in the direction of the temperature decreasing. This effect may be used potentially to build up a molecular pump driven by the temperature gradient along narrow nanotube. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : SADREEV A. F.
Заглавие : ABSENCE OF LONG-RANGE ORDER IN A DIPOLE SYSTEM
Место публикации : Phys. Lett. A: ELSEVIER SCIENCE BV, 1986. - Vol. 115, Is. 5. - P193-195. - ISSN 0375-9601, DOI 10.1016/0375-9601(86)90462-7
Примечания : Cited References: 3
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pilipchuk A. S., Sadreev A. F.
Заглавие : Accidental bound states in the continuum in an open Sinai billiard
Место публикации : Phys. Lett. A: Elsevier, 2017. - Vol. 381, Is. 7. - P.720-724. - ISSN 03759601 (ISSN), DOI 10.1016/j.physleta.2016.11.022
Примечания : Cited References: 35. - This work has been supported by Russian Science Foundation through grant 14-12-00266. We acknowledge discussions with D.N. Maksimov.
Ключевые слова (''Своб.индексиров.''): bound states in the continuum--open chaotic sinai billiard
Аннотация: The fundamental mechanism of the bound states in the continuum is the full destructive interference of two resonances when two eigenlevels of the closed system are crossing. There is, however, a wide class of quantum chaotic systems which display only avoided crossings of eigenlevels. As an example of such a system we consider the Sinai billiard coupled with two semi-infinite waveguides. We show that notwithstanding the absence of degeneracy bound states in the continuum occur due to accidental decoupling of the eigenstates of the billiard from the waveguides. © 2016 Elsevier B.V.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Huang, Lujun, Huang, Sibo, Shen, Chen, Yves, Simon, Pilipchuk A. S., Ni, Xiang, Kim, Seunghwi, Chiang, Yan Kei, Powell, David A., Zhu, Jie, Cheng, Ya, Li, Yong, Sadreev A. F., Alu, Andrea, Miroshnichenko, Andrey E.
Заглавие : Acoustic resonances in non-Hermitian open systems
Колич.характеристики :17 с
Место публикации : Nat. Rev. Phys. - 2024. - Vol. 6, Is. 1. - P.11-27. - ISSN 25225820 (eISSN), DOI 10.1038/s42254-023-00659-z
Примечания : Cited References: 288. - L.H. and A.E.M. were supported by the Australian Research Council Discovery Project (DP200101353) and the UNSW Scientia Fellowship programme. S.H. and Y.L. were supported by the Shanghai Science and Technology Committee (grant nos. 21JC1405600). C.S. was supported by the US National Science Foundation under grant no. CMMI-2137749. S.Y., X.N., S.K. and A.A. were supported by the Air Force Office of Scientific Research and Simons Foundation. A.S.P and A.F.S acknowledge the state assignment of Kirensky Institute of Physics. Y.K.C. and D.A.P. were supported by the Australian Research Council Discovery Project (grant no. DP200101708)
Аннотация: Acoustic resonances in open systems, which are usually associated with resonant modes characterized by complex eigenfrequencies, play a fundamental role in manipulating acoustic wave radiation and propagation. Notably, they are accompanied by considerable field enhancement, boosting interactions between waves and matter, and leading to various exciting applications. In the past two decades, acoustic metamaterials have enabled a high degree of control over tailoring acoustic resonances over a range of frequencies. Here, we provide an overview of recent advances in the area of acoustic resonances in non-Hermitian open systems, including Helmholtz resonators, metamaterials and metasurfaces, and discuss their applications in various acoustic devices, including sound absorbers, acoustic sources, vortex beam generation and imaging. We also discuss bound states in the continuum and their applications in boosting acoustic wave–matter interactions, active phononics and non-Hermitian acoustic resonances, including phononic topological insulators and the acoustic skin effect.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pichugin K. N., Sadreev A. F.
Заглавие : Aharanov-Bohm oscillations of conductance in two-dimensional rings
Место публикации : Phys. Rev. B: AMERICAN PHYSICAL SOC, 1997. - Vol. 56, Is. 15. - P9662-9673. - ISSN 0163-1829, DOI 10.1103/PhysRevB.56.9662
Примечания : Cited References: 56
Предметные рубрики: NORMAL-METAL RINGS
HALF FLUX QUANTA
MESOSCOPIC RING
MAGNETIC-FIELD
CIRCULAR BENDS
EDGE STATES
MAGNETOTRANSPORT
TRANSPORT
WIRES
TRANSITION
Аннотация: Transport properties of mesoscopic rings with applied external magnetic field are considered numerically. Rings have square and circular forms and a finite aspect ratio d/L where L is the ring size and d is the width of ring arms. The type of the Aharonov-Bohm oscillations (ABO's) of the transmission substantially depends on the number of channels participating in the electron transmission. Moreover the aspect ratio and the geometrical form of the ring are important for the ABO's. In square rings with a small aspect ratio (d/L = 1/10) the transmission displays periodic ABO's in the region of applied magnetic field defined by the inequality infinity l(B) = ((h) over bar c/eB)(1/2)greater than or equal to d, while for rings with a large aspect ratio (d/L = 1/3) only the single-channel transmission has quasiperiodical ABO's. For the circular rings with small aspect ratios the quasiperiodic ABO's are observed all over the region of the applied magnetic field while for the rings with moderate aspect ratios only the multichannel transmission displays irregular ABO's. The probability current flow patterns demonstrate fine correspondence between the transmission and the vortex structure of current distributions in the rings. For single-channel transmission, electron currents are laminar. For multichannel transport, current flow patterns display a complicated convection pattern in the form of a vortex lattice. An elementary cell of the vortex lattice consists of a few vortices and antivortices and has a size of similar to d/f, where f is the number of channels of electron transmission in the ring. Application of the flux distorts the vortex lattice enormously, partially destroying it. Correspondingly the Aharonov-Bohm oscillations of the transmission become irregular.
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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) : Bulgakov E. N., Pichugin K. N., Sadreev A. F.
Заглавие : All-optical light storage in bound states in the continuum and release by demand
Коллективы : Russian Scientific Foundation [14-12-00266]
Место публикации : Opt. Express: Optical Society of America, 2015. - Vol. 23, Is. 17. - P.22520-22531. - ISSN 1094-4087, DOI 10.1364/OE.23.022520
Примечания : Cited References: 45. - This work was supported by Russian Scientific Foundation through Grant 14-12-00266. We acknowledge discussions with D.N. Maksimov
Предметные 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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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Bulgakov E. N., Sadreev A. F.
Заглавие : All-optical manipulation of light in X- and T-shaped photonic crystal waveguides with a nonlinear dipole defect
Место публикации : Phys. Rev. B: American Physical Society, 2012. - Vol. 86, Is. 7. - Ст.75125. - ISSN 1098-0121, DOI 10.1103/PhysRevB.86.075125
Примечания : 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.
Предметные 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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11.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pichugin K. N., Sadreev A. F.
Заглавие : Analysis of a channel-drop filter based on dispersive waveguides and two resonant cavities
Место публикации : J. Opt.: IOP Publishing Ltd, 2013. - Vol. 15, Is. 3. - Ст.35502. - P. - ISSN 2040-8978, DOI 10.1088/2040-8978/15/3/035502
Примечания : Cited References: 35. - The work is partially supported by RFBR grant 13-07-98018-a and RFBR grant 'Sibir' 13-07-00497
Предметные рубрики: PHOTONIC CRYSTAL SLABS
REFLECTION FEEDBACK
MODES
DESIGN
Ключевые слова (''Своб.индексиров.''): channel dropping--dispersive waveguides--optical micro-cavities
Аннотация: By use of coupled-mode theory we analyze a channel add-drop filter based on two dispersive waveguides symmetrically coupled with two resonant optical cavities. We show new solutions for the channel-drop filter processes compared to the solutions found by Manolatou et al (1999 IEEE J. Quantum Electron. 35 1322). For a special choice of the dispersion of the waveguides, we reveal a frequency region with sufficient total reflection.
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12.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Rotter I., Sadreev A. F.
Заглавие : Avoided level crossings, diabolic points, and branch points in the complex plane in an open double quantum dot
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 2005. - Vol. 71, Is. 3. - Ст.36227. - ISSN 1063-651X, DOI 10.1103/PhysRevE.71.036227
Примечания : Cited References: 49
Предметные рубрики: BERRY TOPOLOGICAL PHASE
EXCEPTIONAL POINTS
GEOMETRIC PHASES
NUCLEAR REACTIONS
RESONANCE STATES
UNIFIED THEORY
S-MATRIX
CONTINUUM
REPULSION
INTERFEROMETER
Ключевые слова (''Своб.индексиров.''): branch points in the complex plane (bpcp)--diabolic points (dp)--geometric phases--riemann sheets--eigenvalues and eigenfunctions--electron energy levels--functions--hamiltonians--quantum theory--resonance--topology--semiconductor quantum dots
Аннотация: We study the spectrum of an open double quantum dot as a function of different system parameters in order to receive information on the geometric phases of branch points in the complex plane (BPCP). We relate them to the geometrical phases of the diabolic points (DPs) of the corresponding closed system. The double dot consists of two single dots and a wire connecting them. The two dots and the wire are represented by only a single state each. The spectroscopic values follow from the eigenvalues and eigenfunctions of the Hamiltonian describing the double dot system. They are real when the system is closed, and complex when the system is opened by attaching leads to it. The discrete states as well as the narrow resonance states avoid crossing. The DPs are points within the avoided level crossing scenario of discrete states. At the BPCP, width bifurcation occurs. Here, different Riemann sheets evolve and the levels do not cross anymore. The BPCP are physically meaningful. The DPs are unfolded into two BPCP with different chirality when the system is opened. The geometric phase that arises by encircling the DP in the real plane, is different from the phase that appears by encircling the BPCP. This is found to be true even for a weakly opened system and the two BPCP into which the DP is unfolded.
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13.

Вид документа : Статья из сборника (выпуск продолж. издания)
Шифр издания :
Автор(ы) : Balyzin M., Sadrieva Z., Belyakov M. A., Kapitanova P., Sadreev A. F., Bogdanov A.
Заглавие : Bound state in the continuum in 1D chain of dielectric disks: Theory and experiment
Коллективы : International Conference on Metamaterials and Nanophotonics
Место публикации : J. Phys. Conf. Ser. - 2018. - Vol. 1092: 3rd International Conference on Metamaterials and Nanophotonics, METANANO 2018 (17 - 21 September 2018). - Ст.012012. - , DOI 10.1088/1742-6596/1092/1/012012
Примечания : Cited References: 11. - This work is supported by RSF (17-12-01581)
Ключевые слова (''Своб.индексиров.''): 1-d chains--bound state--ceramic disks--dielectric disks--ghz frequencies--material loss--quadratic growth--zero angular momentum
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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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Maksimov D. N., Sadreev A. F.
Заглавие : Bound states in elastic waveguides
Место публикации : Phys. Rev. E: AMERICAN PHYSICAL SOC, 2006. - Vol. 74, Is. 1. - Ст.16201. - ISSN 1539-3755, DOI 10.1103/PhysRevE.74.016201
Примечания : Cited References: 26
Предметные рубрики: CLASSICALLY UNBOUND SYSTEM
QUANTUM WIRES
Аннотация: We consider numerically the L-, T-, and X-shaped elastic waveguides with the Dirichlet boundary conditions for in-plane deformations (displacements) which obey the vectorial Navier-Cauchy equation. In the X-shaped waveguide we show the existence of a doubly degenerate bound state with frequency below the first symmetrical cutoff frequency, which belongs to the two-dimensional irreducible representation E of symmetry group C-4v. Moreover the next bound state is below the next antisymmetric cutoff frequency. This bound state belongs to the irreducible representation A(2). The T-shaped waveguide has only one bound state while the L-shaped one has no bound states.
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15.

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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16.

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
Место публикации : Phys. Rev. B. - 2010. - Vol. 81. - С. 115128-12
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17.

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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18.

Вид документа : Однотомное издание
Шифр издания :
Автор(ы) : Bulgakov E. N., Pilipchuk A. S., Sadreev A. F.
Заглавие : Bound states in the continuum in dielectric resonators embedded into metallic waveguide
Место публикации : All-dielectric nanophotonics/ ed.: A. S. Shalin [et al.]: Elsevier, 2023. - Chapt. 7. - P.185-212. - (Nanophotonics series)
Примечания : Cited References: 97. - РНФ № 22-12-00070
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19.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lyapina A. A., Maksimov D. N., Pilipchuk A. S., Sadreev A. F.
Заглавие : Bound states in the continuum in open acoustic resonators
Место публикации : J. Fluid Mech. - 2015. - Vol. 780. - P.370-387. - ISSN 0022-1120, DOI 10.1017/jfm.2015.480
Примечания : Cited References: 48. - This work has been supported by Russian Science Foundation through grant 14-12-00266.
Предметные рубрики: TRAPPED MODES
FANO RESONANCES
COMPLEX RESONANCES
PARALLEL PLATES
SIDE-BRANCHES
WAVE-GUIDES
ABSORPTION
TRANSPORT
CHANNELS
SYSTEM
Ключевые слова (''Своб.индексиров.''): aeroacoustics--noise control--wave scattering
Аннотация: We consider bound states in the continuum (BSCs) or embedded trapped modes in two- and three-dimensional acoustic axisymmetric duct-cavity structures. We demonstrate numerically that, under variation of the length of the cavity, multiple BSCs occur due to the Friedrich-Wintgen two-mode full destructive interference mechanism. The BSCs are detected by tracing the resonant widths to the points of the collapse of Fano resonances where one of the two resonant modes acquires infinite life-time. It is shown that the approach of the acoustic coupled mode theory cast in the truncated form of a two-mode approximation allows us to analytically predict the BSC frequencies and shape functions to a good accuracy in both two and three dimensions. © 2015 Cambridge University Press.
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20.

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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