Nonlinear propagation of few-cycle laser pulses in the one-axis crystals

The microscopic semiclassical approach for the description of dynamics of few-cycle laser pulses in the one-axis crystal is offered. On the basis of this approach the system of two nonlinear wave equations of the pulse ordinary E_o and extraordinary E_e components is obtained and analyzed. This system describes a propagation of few-cycle laser pulses in a one-axis crystal under arbitrary angle with respect to an optical axis. At the same time this system extends the conforming equation for few-cycle laser pulses in isotropic dielectric obtained previously, on a case of a ship with a one-axial anisotropy. By virtue of an anisotropy of medium each level has no definite parity, therefore in wave equations by a natural mode the quadratic nonlinearity has appeared. In frame work of our approach such phenomena as electron and electron-vibration (Raman) nonlinearity, electron and ion dispersion and diffraction is considered.