Charge Waves Research Articles

Increasing the bandwidth of an extended interaction klystron at 0.34 THz by staggered tuning of the multi-gap cavities

To increase the bandwidth of EIKs at 0.34 THz, a synthetical method containing several steps is proposed. As the crucial unit determining the performance of EIKs, the output cavity is studied. Based on the theory of space charge wave, the number of gaps in the output cavity is optimized to increase both the interaction efficiency and the instantaneous bandwidth. The approaches of tuning the shape of a barbell gap and the number of gaps in idler cavities are studied, leading to the practicable method of staggered tuning on all the intermediate cavities. As a result, the bandwidth of an EIK is improved step by step. Another approach of adjusting the drift tubes is also discussed and the synthetically tuning strategy for terahertz EIKs is concluded. Finally, the optimized nonuniform structure is verified by PIC simulations and the results show that it can effectively broaden the −3 dB bandwidth up to 500 MHz, which is double that of the uniform structure. The synthetical method is proved to be practicable in tuning the bandwidth and capable to keep the device operating in stability.

Superradiant instabilities in scalar-tensor Horndeski theory

We study the superradiance effect in a class of scalar-tensor Horndeski theory. We first study the dynamics of a massive charged scalar wave scattered off the horizon of a Reissner-Nordstr\"om black hole which except its canonical coupling to gravity it is also coupled kinetically to curvature. We find that a trapping potential is formed outside the horizon of a Reissner-Nordstr\"om black hole, due to this coupling, and as the strength of the new coupling is increased, the scattered wave is superradiantly amplified, resulting to the instability of the Reissner-Nordstr\"om spacetime. We then considered the backreacting effect of the scalar field coupled to curvature interacting with the background metric and we study the superradiant effect and find the superradiance conditions of a massive charged wave scattered off the horizon of a Horndeski black hole.

Influence of Encapsulated Water on Luminescence Energy, Line Width, and Lifetime of Carbon Nanotubes: Time Domain Ab Initio Analysis.

In a broad range of applications, carbon nanotubes (CNTs) are in direct contact with a condensed-phase environment that perturbs CNT properties. Experiments show that water molecules encapsulated inside of semiconducting CNTs reduce the electronic energy gap, enhance elastic and inelastic electron-phonon scattering, and shorten the excited-state lifetime. We rationalize the observed effects at the atomistic level using real-time time-dependent density functional theory combined with nonadiabatic molecular dynamics. Encapsulated water makes the nanotube more rigid, suppressing radial breathing modes while enhancing and slightly shifting the optical G-mode. Water screens Coulomb interactions and shifts charge carrier energies and wave functions. The screening, together with distortion of the CNT geometry and lifting of orbital degeneracy, produces a luminescence red shift. Enhanced elastic and inelastic electron-phonon scattering explains line width broadening and shortening of the excited-state lifetime. The influence of water on the CNT properties is similar to that of defects; however, in contrast to defects, water creates no new phonon modes or electronic states in the CNTs. The atomistic understanding of the influence of the condensed-phase environment on CNT optical, electronic, and vibrational properties, and electron-vibrational dynamics guides design of novel CNT-based materials.

The Green’s Function in the Problem of Charge Dynamics on A One-Dimensional Lattice with An Impurity Center

In the “tight-binding” approximation (the Huckel model), we consider the evolution of the charge wave function on a semi-infinite one-dimensional lattice with an additional energy U at a single impurity site. In the case of the continuous spectrum (for |U| < 1) where there is no localized state, we construct the Green’s function using the expansion in terms of eigenfunctions of the continuous spectrum and obtain an expression for the time Green’s function in the form of a power series in U. It unexpectedly turns out that this series converges absolutely even in the case where the localized state is added to the continuous spectrum. We can therefore say that the Green’s function constructed using the states of the continuous spectrum also contains an implicit contribution from the localized state.

Probing the mechanism of xanthine oxidase and 2-amino xanthine: an implication of energy, charge bond order and wave function.

Xanthine oxidase (XO) is an important molybdenum-containing enzyme catalyzing the hydroxylation of hypoxanthine to xanthine and xanthine to uricacid. The mechanistic action by which xanthine oxidase oxidizes purine derivatives is not well understood. A better understanding of the overall mechanism is supposed to enhance our ability to control the metabolic properties of potential drug molecules metabolized by this enzyme. In this work a model substrate, 2-Amino Xanthine has been used to study the mechanistic action of the enzyme. For this reason, the present theoretical work was intended to probe a unified mechanism for the oxidation of 2-Amino Xanthine by xanthine oxidase. Parameters like total electronic energy, Mulliken atomic charges, wave functions, and percent contribution of chemical fragments were generated using a DFT method employing B3LYP level of theory with 6-31G(d',p') basis set for nonmetals and LanL2DZ basis set for molybdenum. AOmix software package that employs single point energy output as an input file was employed for wave function and percent fragment analysis. From these result new reaction intermediates and plausible reaction mechanism root has been reported for reductive and oxidative half reaction using 2-Amino Xanthine as model substrate. In this work it can be concluded that a stepwise mechanistic route with hydrogen bonding reaction complex and active site resemble very rapid Mo (V) intermediate is most plausible.    Â

Non-local electron transport through normal and topological ladder-like atomic systems

We propose a locally protected ladder-like atomic system (nanoconductor) on a substrate that is insensitive to external perturbations. The system corresponds to coupled atomic chains fabricated on different surfaces. Electron transport properties of such conductors are studied theoretically using the model tight-binding Su-Schriffer-Hegger (SSH) Hamiltonian and Green's function formalism. We have found that the conductance of the system is almost insensitive to single adatoms and oscillates as a function of the side chain length with very large periods. Non-local character of the electron transport was observed also for topological SSH chains where nontrivial end states survive in the presence of disturbances as well as for different substrates. We have found that the careful inspection of the density of states or charge waves can provide the information about the atom energy levels and hopping amplitudes. Moreover, the ladder-like geometry allows one to distinguish between normal and topological zero-energy states. It is important that topological chains do not reveal Friedel oscillations which are observed in non-topological chains.

Hawking radiation and propagation of massive charged scalar field on a three-dimensional Gödel black hole

In this paper we consider the three-dimensional G\"{o}del black hole as a background and we study the vector particle tunneling from this background in order to obtain the Hawking temperature. Then, we study the propagation of a massive charged scalar field and we find the quasinormal modes analytically, which turns out be unstable as a consequence of the existence of closed time-like curves. Also, we consider the flux at the horizon and at infinity, and we compute the reflection and transmission coefficients as well as the absorption cross section. Mainly, we show that massive charged scalar waves can be superradiantly amplified by the three-dimensional G\"{o}del black hole and that the coefficients have an oscillatory behavior. Moreover, the absorption cross section is null at the high frequency limit and for certain values of the frequency.

Charge Transfer in the Lattice with an Impurity Site. Reflection and Transmission of the Wave Packet

The quantum dynamics of the propagation of the charge wave function in a uniform lattice containing a single impurity site is considered. A nonstationary problem is solved in the tight-binding approximation. The initial state is the wave function fully localized at one of the lattice sites. The coefficients of transmission of the wave packet through the impurity site and reflections from it are calculated as a function of the parameters of the problem, that is, the additional energy on the impurity and the distance between the impurity and the initial position of the charge. The problem is solved for two types of boundary conditions: an infinite and a semi-infinite lattice. Good agreement with numerical simulation is obtained.

Modified Space Charge Waves in Magnetized Semiconductor Quantum Plasmas

A dispersion relation of space charge wave is derived using one dimensional quantum hydrodynamic model in semiconductor plasma subjected to d.c. electric and magneto-static fields. It is studied analytically for both classical and quantum plasma systems. Here the carrier drift due to d.c. electric field acts as source of free energy in the system and may be attributed as cause for unstable space charge mode. It is found that the quantum parameter-H and the orientation of applied magnetic field together not only play a key role in the dynamics of space charge wave but also induce four new channels of propagation. The phase speed and growth rate of all modes are found to be very sensitive to the orientation of the magnetic field.

Quantum Space Charge Waves in a Waveguide Filled with Fermi-Dirac Plasmas Including Relativistic Wake Field and Quantum Statistical Pressure Effects

Abstract The effects of quantum statistical degeneracy pressure on the propagation of the quantum space charge wave are investigated in a cylindrically bounded plasma waveguide filled with relativistically degenerate quantum Fermi-Dirac plasmas and the relativistic ion wake field. The results show that the domain of the degenerate parameter for the resonant beam instability significantly increases with an increase of the scaled beam velocity. It is found that the instability domain of the wave number increases with an increase of the degenerate parameter. It is also found that the growth rate for the resonant beam instability decreases with an increase of the degenerate parameter. In addition, it is shown that the lowest harmonic mode provides the maximum value of the growth rates. Moreover, it is shown that the instability domain of the wave number decreases with an increase of the beam velocity.

Dispersion spectrum of acoustoelectric waves in 1D piezoelectric crystal coupled with 2D infinite network of capacitors

A one-dimensional piezoelectric crystal coupled through periodically embedded electrodes with a two-dimensional semi-infinite periodic network of capacitors is considered. The unit cell of the network contains two capacitors with capacitances C1 and C2 which are in parallel and in series, respectively, with the electrodes. The dispersion spectrum of the longitudinal acoustoelectric wave in the piezoelectric crystal coupled with the electric wave of potentials and charges in the network of capacitors is investigated. It is shown that when C1 and C2 are of the same sign, the dispersion spectrum consists of a discrete set of curves, for which the electric wave exponentially decays into the depth of the network of capacitors. In contrast, if C1 and C2 are of the opposite sign and |C1/C2|&amp;lt;1, then the spectrum simultaneously includes the discrete set of dispersion curves, corresponding to the localized waves, and the continuous band, which admits a finite but not localized (not decaying into the depth) wave field at any frequency and wavenumber within the band. Finally, when C1 and C2 are of the opposite sign and |C1/C2|≥1, the whole dispersion spectrum is a continuous band. The width of the continuous band and the equation describing the dispersion curves are found explicitly; the equation for the wave field is also obtained. Another interesting spectral feature is the unusual non-monotonic shape of the dispersion curves for a certain range of C1(&amp;lt;0), C2. This shape is due to the hybridization of the individual spectra of the crystal and of the network of capacitors.

Saltatory Conduction as an Electrostatic Compressional Wave in the Axoplasm.

Saltatory conduction is an essential phenomenon to facilitate the fast conduction in myelinated nerves. The conventional conductive models assumed electric circuits with local current along the axonal membrane to explain the nerve conduction in unmyelinated nerves. However, whether such models with local current can be also applied to the saltatory conduction in myelinated nerves is unknown. In this report, I propose a new model of saltatory conduction by focusing on the behavior of electric charges in the axoplasm, not limited to the membrane. In myelinated nerves, because of the large internodal length and the low ion channel density in the internodal segment, the whole cross-section of the internodal axoplasm would contribute to the signal conduction. Because the conducted signals originate from the sodium ion influx through the voltage-gated sodium (NaV) channel at the Ranvier's nodes, an individual conducted signal can be described as a single electrostatic compressional wave of positive charges in the internodal axoplasm. Based on this model, the total number of NaV channels in one Ranvier's node would regulate the strength of the wave. Also, the internodal length would be important for the faster conduction in larger myelinated axons. Based on the linear relationships between axonal diameter, internodal length, and conduction velocity, the internodal length would be inversely proportional to the ratio of the transmitted overall wave strength at a Ranvier's node to the original strength at the proximal adjacent node. This new mathematical model may have wide applicability and usability for the conduction in myelinated nerves.

Photonic Crystal-Based High-Power Backward Wave Oscillator

An electron beam traversing a slow wave structure can be used to either generate or amplify electromagnetic radiation through the interaction of the slow space charge wave on the beam with the slow wave structure modes. Here, a cylindrical waveguide with a periodic array of conducting loops is used for the slow wave structure. This paper considers operation as a backward wave oscillator. The dispersion properties of the structure are determined using a frequency-domain eigenmode solver. The interaction of the electron beam with the structure modes is investigated using a 2-D particle-in-cell (PIC) code. The operating frequency and growth rate dependence on beam energy and beam current are investigated using the PIC code and compared with analytic and scaling estimates where possible.

Образование волн плотностей заряда и тока при рассеянии гауссова волнового пакета на трехбарьерной гетероструктуре

Образование волн плотностей заряда и тока при рассеянии гауссова волнового пакета на трехбарьерной гетероструктуре

Effect of carrier spectra nonsphericity and subband mixing on CHHS Auger process rate in deep quantum wells

The Kane’s equations are written and solved with taking into account nonsphericity of the kp Hamiltonian. Charge carrier energy spectra and wave functions are obtained and analized. Subbands of dimensional quantization in the AlSb/InAs0.84Sb0.16/AlSb system are calculated with taking subband mixing into account. CHHS Auger process coefficient in the AlSb/InAs0.84Sb0.16/AlSb system is calculated with and without taking energy spectra nonsphericity and subband mixing into account. It is obtained that energy spectra nonsphericity and subband mixing lead to Auger matrix element and CHHS Auger process rate decrease.

Linear analysis of an X-band backward wave oscillator with a circular-edge disk-loaded cylindrical waveguide driven by an annular electron beam

An X-band backward wave oscillator (BWO) with a circular-edge disk-loaded periodic metallic slow wave structure (CDSWS) is proposed and studied numerically. The structure is the modified version of our previously modeled semi-circularly corrugated slow wave structure (SCCSWS). The CDSWS is energized by an intense relativistic electron beam (IREB) which is directed by a strong magnetic field. The electromagnetic (EM) wave of the slow wave structure (SWS) merges with the space charge wave of the beam under the guidance of the strong axial magnetic field. The inner wall contour of CDSWS is modeled by a finite Fourier series and the dispersion characteristics of different TM modes are solved by utilizing the linear Rayleigh-Fourier (R-F) technique, which is verified by a commercial EM solver. To study the temporal growth rate (TGR) for the fundamental TM01 mode, the dispersion equation is solved for the beam current of 0.1-1.0kA and the beam energy of 205-665kV. For the TM01 mode, the TGR that occurs at the unstable region, which provides a qualitative index of the strength of the microwave generation, is compared with those of the BWOs with sinusoidally corrugated SWS (SCSWS), disk-loaded SWS (DLSWS) and triangularly corrugated SWS (TrCSWS) for different beam parameters. The dimension of the CDSWS is determined by comparing the dispersion characteristics of fundamental TM01 mode with DLSWS and SCSWS. For the same set of beam parameters, an average of 3.5%, 7%, 1.5% and more than 50% higher TGR have been obtained with the proposed CDSWS than that of SCSWS, DLSWS, TrCSWS and SCCSWS respectively. Moreover, the presented structure also provides an advantage in the fabrication process and is less prone to RF breakdown since it has no sharp edges in the inner wall where the electric field intensity can be infinitely high.

Interaction of solitons on 2‐dimensional branched π‐electron surface of graphene ribbons

AbstractWe have performed quantum‐mechanical study of charge distribution on the carbon atoms of two‐dimensional conjugated system of the model graphene ribbon. The study shows that charges in the quasi‐two dimensional conjugated system of the graphene ribbon are not localized on separate carbon atoms, but form one‐dimensional solitonic charge waves along zig‐zag sides. There are two solitonic charge waves in the dication or dication due to generation of own soliton by each charge; the first soliton in the acene chain is located on one side while the second one is positioned on the opposite side. The shapes of the solitonic waves in the graphene ribbon are similar to ones in one‐dimensional conjugated systems. Similarly, in the ionic two‐dimensional collective systems of π‐electrons two splitted solitonic levels are generated; lengthening of the chain leads to convergence of the levels. The widening of graphene ribbon (y‐expansion of two‐dimensional conjugated system is accompanied with recession of both solitons to outer sides, so amplitudes of the solitons on the inner sides regularly decrease under widening of the model graphene ribbon; the charges on the inner carbon atoms converge to zero.

Forming of Space Charge Wave with Broad Frequency Spectrum in Helical Relativistic Two-Stream Electron Beams**Supported by the Ministry of Education and Science of Ukraine under Grant No 0117U002253.

We elaborate a quadratic nonlinear theory of plural interactions of growing space charge wave (SCW) harmonics during the development of the two-stream instability in helical relativistic electron beams. It is found that in helical two-stream electron beams the growth rate of the two-stream instability increases with the beam entrance angle. An SCW with the broad frequency spectrum, in which higher harmonics have higher amplitudes, forms when the frequency of the first SCW harmonic is much less than the critical frequency of the two-stream instability. For helical electron beams the spectrum expands with the increase of the beam entrance angle. Moreover, we obtain that utilizing helical electron beams in multiharmonic two-stream superheterodyne free-electron lasers leads to the improvement of their amplification characteristics, the frequency spectrum broadening in multiharmonic signal generation mode, and the reduction of the overall system dimensions.

Optical Bifacial Transmission by Asymmetric Charge-Oscillation-Induced Light Transmission Through a Plasmonic Structure

From first-principles computation, we reveal that optical bifacial transmission can be induced within an asymmetric metallic subwavelength structure. This phenomenon can be explained by a concrete picture in which the intensity of the driving forces for surface plasmon or charge wave is asymmetric for the two incident directions. Two distinguished different numerical methods, finite difference time domain (FDTD), and rigorous coupled wave analysis (RCWA) are utilized to verify that optical bifacial transmission can exist for linear plasmonic metamaterial. Previous results are also reviewed to confirm the physical meaning of optical bifacial transmission for a planar linear metamaterial. The incident light can provide direct driving forces for surface plasmon in one direction. While in the opposite direction, forces provided by the light diffraction are quite feeble. With the asymmetric driving forces, the excitation, propagation, and light-charge conversion of surface plasmon give the rise of bifacial charge-oscillation-induced transmission. In periodic a structure, the excitation of surface plasmon polariton can lead to the spoof vanish of such phenomenon. The transmissions for two incident directions get the same in macroscopic while the bifacial still exists in microscale.

Classical-field model of the hydrogen atom

It is shown that all of the basic properties of the hydrogen atom can be consistently described in terms of classical electrodynamics instead of taking the electron to be a particle; we consider an electrically charged classical wave field, an "electron wave", which is held in a limited region of space by the electrostatic field of the proton. It is shown that quantum mechanics must be considered to be not a theory of particles but a classical field theory in the spirit of classical electrodynamics. In this case, we are not faced with difficulties in interpreting the results of the theory. In the framework of classical electrodynamics, all of the well-known regularities of the spontaneous emission of the hydrogen atom are obtained, which is usually derived in the framework of quantum electrodynamics. It is shown that there are no discrete states and discrete energy levels of the atom: the energy of the atom and its states change continuously. An explanation of the conventional corpuscular-statistical interpretation of atomic phenomena is given. It is shown that this explanation is only a misinterpretation of continuous deterministic processes. In the framework of classical electrodynamics, the nonlinear Schrodinger equation is obtained, which accounts for the inverse action of self-electromagnetic radiation of the electron wave and completely describes the spontaneous emissions of an atom.