Superradiant Rayleigh scattering of high-intensity short light pulses from a Bose-Einstein condensate of dilute atomic gases

Equations of a semiclassical model of superradiant Rayleigh scattering of high-intensity short light pulses from a Bose-Einstein condensate of dilute atomic gases are solved numerically taking into account the excitation of atoms by coherent Rayleigh radiation and their recoil in the backward direction. The evolution of the populations of coherent atomic states with a particular momentum is studied, and the pulse shape and the structure of the spectrum of such scattering are found in relation to the laser beam intensity and the recoil kinetic energy of atoms.