Theory of cyclotron superradiance from a moving electron bunch under group synchronism conditions

A theory is presented of cyclotron superradiance from an electron bunch rotating in a uniform magnetic field and drifting at a velocity close to the group velocity of a wave propagating in a waveguide. It is shown that, in a comoving frame of reference, the bunch emits radiation at a frequency close to the cutoff frequency of the waveguide. Superradiance implies the azimuthal self-bunching of electrons, which is accompanied by coherent emission of the stored rotational energy in a short electromagnetic pulse. Linear and nonlinear stages of the process are analyzed. The growth rate of the superradiance instability is determined. It is shown that the maximum growth rate is attained under group synchronism conditions. The peak power and the characteristic duration of the cyclotron superradiance pulse are determined by numerical simulation. The characteristic features of the superradiance pulses are described in the comoving and laboratory frames. The results of theoretical analysis are compared with experimental data.     

Theory of wiggler superradiance from an extended electron bunch under the group synchronism condition

Superradiance (SR) from an electron bunch moving in a waveguide and oscillating in the field of helical wiggler is analysed for the specific group synchronism regime which occurs when the electron translational velocity coincides with the wave group velocity. In the comoving reference frame such a regime corresponds to emission at a quasi cutoff frequency. Both linear and nonlinear analysis demonstrate the advantages of the group synchronism regime for wiggler SR. Detuning from this regime leads to a fast drop in both the gain of the instability and peak power of the SR pulse.     

Superradiation in ensembles of classical electron oscillators under conditions of group synchronism

We consider the cyclotron superradiation of a moving electron bunch under conditions of group synchronism when the forward velocity of the bunch is equal to the group velocity of the electromagnetic wave. It is shown that this mode of operation makes it possible to increase the increment of superradiant instability and raise the peak radiated power.Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 38, Nos. 3–4, pp. 292–297, March–April, 1995.     

Conditions for the onset of superradiance regime in a relativistic electron bunch

Problems associated with the formation of coherent oscillations of an ensemble of classical oscillators and their superradiance instability are considered. The dispersion properties of an electron bunch and the conditions for the generation of nonequilibrium radiation are determined in the quasi-steady anharmonic oscillator approximation.     

Experimental observation of superradiance in the stimulated scattering of an intense microwave pump wave by a counterpropagating subnanosecond high-current relativistic electron bunch

The generation of ultrashort superradiant pulses in the stimulated scattering of an intense microwave (38 GHz) pump wave by a counterpropagating high-current relativistic electron bunch has been observed. Scattered radiation is a single ～200-ps pulse with a peak power of about 1 MW. Owing to the Doppler shift of the radiation frequency, frequencies up to 150 GHz are present in the spectrum of the scattered pulse.     

Polarization of radiation under superradiance conditions

A theoretical study is made of the polarization properties of superradiance emitted by gases in a high-current longitudinal discharge. It is shown that the Zeeman effect in the discharge current makes the radiation at the periphery of a light beam totally polarized. Formulas are derived for relating the degree of polarization of a light beam with the dependences of the gain profile on the frequency and on the transverse coordinate. An analysis is made of the influence of diffraction on the polarization properties of a light beam and the anisotropic waveguide modes are found. A calculation is made of the distribution of the intensity of the optical field when radiation is generated between crossed Polaroids at the exit end of the discharge tube.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 51–56, May, 1980.The authors are grateful to A. I. Odintsov and V. P. Yakunin for frequent discussions.     

The generation of superradiance pulses by high-current subnanosecond electron bunches moving in a periodic slow-wave system: Theory and experiment

Cherenkov superradiance observed when an electron bunch rectilinearly moves through a slow-wave periodic system is studied theoretically and experimentally. The simulation based on averaged equations and the direct numerical simulation using the PIC-code KARAT show that the peak power of the microwave pulses varies as the total number of the particles in a bunch squared. This finding is confirmed experimentally. Ultrashort (300 ps wide) high-power (up to 140 MW) pulses are generated at a frequency of 39 GHz. As an electron source, the high-current subnanosecond RADAN-303 accelerator is used. It injects 0.5-to 1.5-ns-wide electron bunches of current up to 2 kA and energy 200–300 keV. The simulation suggests that the power of the electromagnetic pulses can be increased further (up to 300 or 400 MW) by optimizing the accelerating voltage pulse shape.     

Damage of beryllium surface under irradiation with a high-current electron beam

Radiation damage of a beryllium surface by a high-current electron beam at the GSEP-3 accelerator is considered. The degree of damage of beryllium samples has been determined. The temperature fields inside the sample and the distributions of thermal stresses have been calculated. The reasons for beryllium surface cracking formation have been found. The concentrations of point defects have been calculated. The possible reasons for an increase in microhardness of the irradiated beryllium surface layer are discussed.     

Theory of group synchronism in free-electron waveguide lasers fed a sequence of short electron pulses

A theory of free-electron lasers fed a sequence of short electron pulses is developed. It is assumed that the group velocity of the electromagnetic pulse that develops in the cavity is the same as the translational velocity of the particles, and the repetition period of the electron pulses equals the transit time of the electromagnetic radiation in the cavity. Under these conditions of group synchronism, the principal factors governing the feasibility of establishing a stationary pulsed lasing regime are found to be the dispersive spread of the electromagnetic pulse and the channeling properties of an electron bunch. The conditions for self-excitation are found, and the characteristics of the stationary lasing regimes are determined assuming that the cavity has a high Q and using a parabolic equation for the evolution of the electromagnetic pulse shape. Zh. Tekh. Fiz. 69, 78–83 (February 1999)     

Dynamic fracture of copper under the action of a relativistic high-current electron beam

This paper presents the results of investigations of the dynamic spall fracture of bulk (2–6 mm) copper targets under the action of a relativistic high-current electron beam (1.3 MeV electron energy, 50 ns pulse duration, ∼10¹⁰ W/cm² power density) generated by the SINUS-7 accelerator. By numerical simulation with the use of the BETAIN1 software package it has been found that the amplitude of the stress wave formed is 6 GPa and the deformation rate is 5·10⁵ s⁻¹. As established experimentally, there is a practically linear relationship between the thickness of the target and the thickness of the spalled layer. Comparison of the experimental data and the simulation results has shown that the spall strength of copper under the given conditions is 1.3 GPa, which is in good agreement with the data available in the literature. Analysis performed with the use of fractographic teqniques has revealed that in the case of recrystallized copper the size of the spall pits formed inside the grains is four times greater than the size of the pits formed on the grain boundaries. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 69–74, July, 2006.     

Cyclotron instabilities of a two-component electron plasma

A study is made of instability at frequencies close to the electron cyclotron frequency _B and its multiples, subject to the presence of two different groups of electrons. It is shown that a mixture of hot and cold electrons ( _ph ² _pc ² ) in the region of frequencies s _B, s2 can be unstable with respect to waves of the flute type (k _z=0) with maximum increment _max ( _ph/_pc). _B, if there exists an interval of transversal velocities in whichF/ >0. When the curvature of the magnetic field is taken into account, even waves with _B can be unstable in such a plasma. The effect of spatial inhomogeneity of the hot component on flute-type instability and on two-beam cyclotron instability is also examined.The author extends his thanks to A. B. Mikhajlovskij for his valuable comments and discussions.     

飞秒电子束装置的初步实验结果

 上海应用物理研究所建造并调试了一台飞秒电子束装置。这台装置主要由一把S波段热阴极微波电子枪、一台alpha磁铁和一根SLAC型加速管组成。这台装置可以产生能量为 20~30 MeV,峰值电流为100 A,微束团长度为250 fs的电子束。这篇文章报道了这台装置的调试和电子束团参数的测量。     

飞秒电子束装置的初步实验结果

上海应用物理研究所建造并调试了一台飞秒电子束装置。这台装置主要由一把S波段热阴极微波电子枪、一台alpha磁铁和一根SLAC型加速管组成。这台装置可以产生能量为 20~30 MeV,峰值电流为100 A,微束团长度为250 fs的电子束。这篇文章报道了这台装置的调试和电子束团参数的测量。     

Passage of a high-current relativistic electron beam through matter

A solution is presented for the problem of passage of a high-current relativistic electron beam through matter in the stationary case with one-dimensional geometry. The system of equations describing the passage of the beam consists of the kinetic equation for fast electrons, which considers the effect of the electric field on the magnitude and direction of particle momentum, the equations for the field produced by the space charge generated by thermalized electrons, and relations connecting the conductivity of the medium to the radiation field. Higher-order perturbation theory is used for the solution. The solutions reveal that the distribution of expended energy, thermalized electrons, and other properties of the flow are highly dependent on the density of the incident flux and the conductivity of the medium. It will be shown that linear transfer theory may be applied to calculation of the passage of high-current beams through matter over a wide range of currents and conductivities, if the barrier thickness does not exceed one-half the path length, but cannot be used for calculation of passage through large-thickness barriers, i.e., with thickness comparable to the electron free path length.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 67–74, September, 1979.The author thanks A. N. Didenko and A. M. Kol'chuzhkin for their evaluation of the study.     

Mechanisms for modification of carbon steels under the action of a high-energy, high-current electron beam

This paper considers mechanisms for the modification of thin and bulky carbon-steel targets under the action of a high-energy, high-current electron beam (HEHCEB). It has been shown that the material residing in the heat-affected zone (HAZ), in the stress-wave reflection zones, and in the stress-wave superposition zones is highly modified. The modification of the material in the HAZ is purely thermal in nature, while the material in the stress-wave reflection and stress-wave superposition zones is modified by the strain-stress-wave mechanism. The positions of the HAZ and of the stress-wave reflection and stress-wave superposition zones can be estimated with adequate accuracy, in terms of the uncoupled thermoelasticity model. The model predictions are compared with experimental data on the hardening of thin targets on simultaneous two-sided HEHCEB irradiation and on the hardening of thin and bulky targets on one-sided irradiation. Institute of High Current Electronics. Siberian Division of the Russian Academy of Sciences. Translated from Izvestiya Vysshikh Uchebnykh Zavadenii, Fizika, No. 3, 62–68, March, 1999.     

Dynamics of an electron beam from a high-current picosecond accelerator

The dynamics of a high-current (10²–10⁴ A) electron beam with energies of 10⁵–10⁶ eV and picosecond duration (10⁻¹⁰ s) at the output of the accelerator tube is investigated. The slowing of electrons by the residual positive charge on the surface of the tube is found to have a significant influence in the case of short pulse durations. The distance of the electron beam from the surface of the tube in vacuum is estimated on the basis of a one-dimensional model. It is shown that the electron radiation can travel to a distance of several centimeters from the surface at current densities below 20 A/mm², whereas at high current densities the beam is trapped near the surface. Zh. Tekh. Fiz. 69, 111–115 (May 1999)