Phase Matched Third Harmonic Generation of a Gaussian Laser Pulse in High-Density Quantum Plasma

Third harmonic generation due to linearly polarized Gaussian laser pulse propagating through quantum plasma immersed in transverse wiggler magnetic field is studied using the quantum hydrodynamic (QHD)model. The effects associated with the Fermi pressure, the Bohm potential and the electron spin have been taken into account.Wiggler magnetic field plays both a dynamic role in producing the harmonic current and a kinematical role in ensuring phase-matching. It is shown that the harmonic radiation attain the maximum valueat an instant when the phase matching is satisfied and thereafter decreases at later duration of laser pulse. The quantum effects also add to harmonic generation in the phase-matched case.