SECOND HARMONIC GENERATION IN WARM COLLISION PLASMA BY INHOMOGENEOUS ELECTRON BEAM
KH. H. EL-SHORBAGY *
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia and Department of Plasma Physics and Nuclear Fusion, Nuclear Research Center, Atomic Energy Authority, Cairo, Egypt.
N. M. EL-SIRAGY
Department of Physics, Faculty of Science, Tanta University, Tanta, Egypt.
A. A. EL-BENDARY
Department of Physics, Faculty of Science, Tanta University, Tanta, Egypt.
Y. SWILEM
Department of Physics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia and Department of Physics, Faculty of Science, Zagazig University, 44519 Sharkia, Egypt.
*Author to whom correspondence should be addressed.
Abstract
The nonlinear interaction of inhomogeneous cold beam of electrons of an arbitrary density with semi-bounded magnetized warm plasma has been investigated. It has been shown that, the nonlinear effects associated with the generation of second harmonics and collision plasma term plays an important role in the process of the energy transfer from the beam to the plasma as compared with linear stage. This is due to the fact that the electric field intensity at double frequency is stronger than that of basis frequency.
This leads to the conclusion that far enough from the plasma boundary inwards, the external static magnetic field may increase the amplitude of the fundamental waves and the electric field of waves with double frequency increases at basis frequency. Over this, it is found that the inhomogeneous electron beam affects on the generation of second harmonic waves, and hence on the power absorbed by the plasma.
Keywords: Generation of second harmonic waves, beam-plasma system, magnetized plasma, plasma warmness.