Wakefield excitation by an intense femtosecond laser pulse in homogeneous underdense plasma

An intense, short–pulse laser interacting with underdense plasma can generate huge amplitude plasma wave wake field. this wakefield can be described in tree–dimensional. a differential equation for wake potential corresponding to this wakefield is derived analytically and is solved numerically for various laser-plasma conditions. it is shown by numerical studies that the amplitude of the wakefield is increased for the large frequency and higher laser intensity, but is decreased with the spot size of laser. the study conducted for various pulse durations and background plasma density reveals that there is an optimum value on excited plasma wake.