Optimization of wiggler wave number for density transition based second harmonic generation in laser plasma interaction

We present the numerical analysis of optimization of wiggler wave number for density transition based second harmonic generation during laser plasma interaction. Wiggler wave number required for phase matching increases with plasma density and the intensity of pump wave. It is due to the fact that wiggler magnetic field offers the additional angular momentum which is necessary to make the second harmonic generation process resonant. A considerable enhancement in the resonant second harmonic generation of an ultra-short pulse laser in plasma with density transition surrounded by a magnetic wiggler is observed. Density transition in plasma plays a key role in self-focusing which further enhances the harmonic generation of second order in plasma. Also we have examined the effect of magnetic wiggler on the harmonic generation of second order in plasma.