Influence of exponential density ramp on second harmonic generation by a short pulse laser in magnetized plasma

Second harmonic generation (SHG) of a chirped pulse laser propagating through magnetized-plasma has been examined by taking into consideration the exponential plasma density ramp profile. Highly intense laser beam propagating under the effect of transverse magnetic field through homogeneous plasma is studied and noticed that the transverse current density starts oscillating with a frequency almost double of the laser field. One may observe that the exponential plasma density ramp plays a key role in the enhancement of SHG. It is due to the fact that the exponential plasma density ramp helps in making the self-focusing of pump laser stronger which leads to enhanced SHG in plasma. Also, it is noticed that with the increase in the value of the positive chirp parameter and magnetic field, the enhancement in the conversion efficiency of the harmonic generation of second order remarkably observed. Our results reveal that the conversion efficiency of SHG enhances significantly in the presence of exponential plasma density ramp.