A novel solution has been obtained for the stimulated Raman scattering
of a strong collimated pump beam with Gaussian transverse distributio
n of intensity under the condition of the Stokes-anti-Stokes coupling.
Optimum values for the wave vector mismatch and for the number of the
spatial modes have been found at which the gain of the Stokes and the
anti-Stokes components is maximum. Offset and deformation of the gain
line shape due to the nonlinear waveguiding effects have been obtaine
d and investigated.