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Keyword: Growth rate

Original Article
Effect of transverse wiggler magnetic field on the growth rate of Raman backscattering of X-mode laser in rippled density plasma

A problem of Raman backscattering of laser beam propagating in a transversely wiggler magnetized plasma is considered in the presence of density ripples. Required dispersion relation of excited upper hybrid wave is derived by using the fluid model and taking into account the coupling between primary upper hybrid wave and density ripples. Using wave equation […]

Original Article
Role of dust and ionization on gradient driven instability in a cross-field plasma

Presence of dust in cross-field plasma systems such as Hall thrusters or in plasma processing units changes the whole physical phenomenon. Owing to the density gradient, pressure gradient and spatial variation of the magnetic field, the plasma in these devices is often found to be unstable and hence, instability evolves in these systems. Considering dust […]

Role of dust and ionization on gradient driven instability in a cross-field plasma
Start current and growth rate in Smith–Purcell free-electron laser with dielectric-loaded cylindrical grating

AbstractWe present an analytic theory for Smith–Purcell device in which a cylindrical metal–dielectric grating was derived by an annular electron beam propagating along the grating axis. A dispersion relation is obtained for azimuthally symmetric modes. Also, the first-order and second-order growth rates of the modes which are in phase with the beam are compared. It […]

Original Article
Effect of dust on tilted electrostatic resistive instability in a Hall thruster

AbstractEffect of negatively charged dust on resistive instability corresponding to the electrostatic wave is investigated in a Hall thruster plasma when this purely azimuthal wave is tilted and strong axial component of wave vector is developed. Analytical calculations are done to obtain the relevant dispersion equation, which is solved numerically to investigate the growth rate […]

Negative and positive dust grain effect on the modulation instability of an intense laser propagating in a hot magnetoplasma

AbstractThe modulation instability of intense circularly polarized laser beam in hot magnetized dusty plasma is studied. A nonlinear equation describing the interaction of laser with dusty plasma in the quasi-neutral approximation is derived. The effect of negative and positive dust grains on the laser modulation growth rate is studied. It is shown that the existence […]

High-frequency instabilities in an explosion-generated relativistic plasma

AbstractA realistic problem of an explosion-generated relativistic plasma is talked about with respect to the instabilities developed in such systems. For this, the dispersion equation is derived analytically and solved numerically for typical values of physical quantities. Our calculations reveal that two types of instabilities occur in the said plasma if the dust particles and […]

Dispersion relation and growth rate in thermal plasma-loaded traveling wave tube with corrugated waveguide hollow electron beam

Abstract A theory of relativistic traveling wave tube with magnetized thermal plasma-filled corrugated waveguide with annular electron beam is given. The dispersion relation is obtained by linear fluid theory. The characteristic of the dispersion relation is obtained by numerical solutions. The effect of plasma density, corrugated period, waveguide radius and plasma thermal effect on the […]

Theoretical analysis of a thermal plasma-loaded relativistic traveling wave tube having corrugated slow wave structure with solid electron beam

AbstractA relativistic traveling wave tube with thermal plasma-filled corrugated waveguide is driven by a finite solid electron beam with the entire system immersed in a strong longitudinal magnetic field that magnetized plasma and electron beam. The dispersion relation for the relativistic traveling wave tube is obtained by linear fluid theory. The numerical results show that […]