Second harmonic generation by a chirped laser pulse in magnetized-plasma

Second harmonic generation of a relativistic self-focusing chirped laser pulse in magnetized-plasma has been investigated. When a highly intense laser beam propagates through homogeneous plasma under the influence of transverse magnetic field, it is found that transverse current density starts oscillating with a frequency twice of the laser field. Further as we increase the value of the positive chirp parameter, efficiency of the second harmonic generation increases significantly. Cyclotron frequency associated with plasma electrons plays a crucial role in the enhancement of the second harmonic generation. The dynamics of oscillating electrons is changed due to Lorentz force which modifies the plasma wave which affects the second harmonic significantly.