V. V. Dolgopolov

Dynamics of the transverse oscillations of an electron beam in a tellarator

The transverse oscillations of a thin electron beam in a stellarator or in a modified betatron were theoretically studied. The analysis is based on the relativistic Lorentz equation for intrinsic fields of the electron beam calculated by the method of retarded potential. Conditions for an instability development caused by the stellarator field inhomogeneity are determined. It is shown that a stellarator may also feature other instabilities of the transverse oscillations which are not related to the stellarator field inhomogeneity.

Axial non-uniform waves generation by cylindrical layer of electrons rotating in the cavity

Axial non-uniform electromagnetic waves generation by electrons, rotating in crossed fields in the free space (in the absence of the resonator) is investigated theoretically. It is shown that under sufficiently high value of radial electrostatic field, the generated wave increment grows with increasing frequency.

Generation of axial non-uniform waves by layer of electrons rotating in the free space

Axial non-uniform electromagnetic waves generation by electrons, rotating in crossed fields in the free space (in the absence of the resonator) is investigated theoretically. It is shown that at the condition of Cherenkov resonance under sufficiently great radial electrostatic field, the generated wave increment grows with frequency increasing. That is why strong radial electrostatic fields can influence the increasing of wave frequencies, generated in similar systems.

Electromagnetic wave generation by an electron layer rotating in free space

The generation of axially nonuniform electromagnetic waves by electrons rotating in crossed external fields in free space is studied theoretically. It is demonstrated that the wave increment increases with frequency under the Cherenkov resonance conditions, provided the radial electrostatic field is sufficiently strong. It is inferred that the generated frequency can be significantly increased by applying a strong radial electrostatic field.

Generation of electromagnetic waves by a rotating cylindrical electron layer

Generation of electromagnetic waves by electrons orbiting in crossed radial electrostatic and axial magnetic fields was studied. Frequencies and increments of the generated waves were calculated. The wave increments increase with the frequency for sufficiently large values of the radial electrostatic field strength. Strong radial electrostatic fields may considerably magnify the frequencies of waves generated in the systems.

Generation of electromagnetic waves by electrons rotating in a radial electrostatic field in free space

A theoretical analysis is made of mechanisms for the generation of electromagnetic waves by electrons rotating in a radial electrostatic field formed by a positively charged filament in free space. A dispersion equation is obtained to describe the interaction between the waves and nonrelativistic electrons. It is shown that electromagnetic fields can be generated by means of Čerenkov resonance. The frequencies and growth rates of the emitted waves are determined and their dependence on the parameters of the problem is investigated.

Electromagnetic wave generation in a cylindrical resonator by electrons orbiting in a radial electrostatic field

The mechanisms leading to the generation of microwaves by electrons orbiting in a radial electrostatic field produced by a positively charged filament on the axis of a cylindrical resonator are investigated theoretically. The dispersion relations describing the interaction of the waves with the electrons are obtained. It is shown that the generation of electromagnetic fields is possible on account of both Cherenkov and plasma resonances. The frequencies and growth rates of waves under Cherenkov resonance conditions and also plasma resonance conditions in uniform and nonuniform electron layers are found. The advantages and disadvantages of different generation mechanisms are determined.