We deduced a more general formula to describe the growth of Stokes feild pumped by the focused beam, and proposed a new explanation about the gain anomaly of SRS in non-self focusing media. The phenomena of the gain anomaly of the Stimulated Raman Scattering (SRS) in non-self focusing media was observed and interpreted by the feedback in the Stokes amplification from Rayleith Scattering or diffuse reflection from walls or windows, or the parameters instabilities ''2, , All of these explanations are based only on the experimental value of the gain deduced from the exponential growth law deviated from that evaluated from the SRS theory. Here we shall analyse the influence of the covergence and the intensity distribution imhomogeneity on the gain measurement. At present, according to the planar wave theory, when the coherence ani4 other higher order Raman Scattering have been ignored, the coupled wave equation are known , when focused beam be employed, a correction term T must be added. In such case the beam size W and the field intensity E have such relationpip: E (z) =E2(o) • W (o) / W (z), therefore, if we consider that, the energy density w=E. I E I / 2, and4 the photon density n =w / hv, we can get the coupled rate equations of the photon density n as
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