Effect of a wiggler magnetic field on the sum frequency generation in laser-plasma interactions

In this paper. we consider the process of suns frequency generation (SFG) in an underdense plasma in the presence of a wiggler magnetic field It is shown that the presence of magnetic field leads to generate not only the even-order nonlinear phenomena such as transversal sum frequency waves but also longitudinal waves at fundamental and sum frequencies. It is also revealed that the wave vector (k) over right arrow (0) of wiggler magnetic field acts as a virtual photon of quantum energy zero and momentum h (k) over right arrow (0) so that phase-matching condition is provided by the conservation of the momentum. Efficiency of the sum frequency generation is considered at different intensities, frequencies and number densities (C) 2010 Elsevier Ltd All rights reserved