Relativistic Electron-Cyclotron Waves in a Hot Plasma Channel with a Parabolic Density Profile
E. Heidaria and M. Aslaninejadb
aDepartment of Sciences, Bushehr Branch, Islamic Azad University, Bushehr, Iran
bPlasma Physics Research Centre, Science and Research Branch, Islamic Azad University, Tehran, Iran
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The propagation of relativistic electron-cyclotron waves in a hot plasma channel with a parabolic density profile is discussed. Analytical calculations are performed to find the governing equation for the evolution of the pulse spot size including the effects of relativistic self-focusing, ponderomotive self-channeling and preformed channel focusing. Also, by analyzing the equation of the pulse spot size, the existence of some solitary wave solutions is predicted numerically.

DOI: 10.12693/APhysPolA.123.285
PACS numbers: 52.35.Hr