Wakefield by a short laser pulse

The equation describing the plasma response to the acting laser pulse is derived by using the Hamilton-Jacobi equation for the case nu (g) approximate to nu (ph) approximate to w less than or equal to c. The equation is solved numerically for one-dimensional Gaussian pulse and analytically for a square-shaped laser pulse. It is shown that the amplitude and the wavelength of the wake wave depend strongly on the amplitude and the length of the laser pulse

Wakefield generation in one-dimensional LWFA

The generation of wakefields in near-critical density plasma by a short laser pulse is considered. The equations describing the plasma response to the acting laser pulse and the Hamiltonian of an electron in the wakefield are derived by using the Hamilton-Jacobi equation for the cases of $v_{\rm g}\simeq v_{\rm p}\simeq w=c$ and w< c (c is the speed of light). The equations are solved analytically in two cases for a square-shaped laser pulse. The plasma potential inside the laser pulse and the wakefield potential excited by the laser pulse are obtained. The optimal length of the driving laser pulse and the wavelength of the wake are expressed by the group velocity