Brillouin forward scattering (BFS) in the nonlinear interaction of laser with a magnetized plasma is considered. Plasma is immersed in an external magnetic field perpendicular to the axis of the laser propagation. First we calculate the nonlinearoscillation velocity of electrons in the laser radiation field. Then coupled equations which describe the Brillouin scattering, are obtained by combining the wave equation, continuity equation, and the equation of motion for the electron fluid. Solving the coupled equations simultaneously, gives the growth rate of BFS instability. It is shown that the presence of the external magnetic field in the plasma decreases the growth rate.

Keywords: Nonlinear Brillouin scattering, Magnetized plasma, Nonlinear wave equation, Growth rate

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