Influence of changes in the pump field on the form of the field of a signal amplified under stimulated scattering conditions

Parallel and antiparallel amplification of a Stokes signal in the field of monochromatic spatially inhomogeneous pump radiation is considered without assuming that the pump field remains constant. Expressions are obtained which describe the form of the fields and the nature of changes in the fields as a function of the longitudinal and transverse coordinates.