Stimulated emission divided by the input intensity: Substituting this definition into the prior equation, we find the general gain equation: In the special case where the input signal is small compared to the saturation intensity, in other words, then the general gain equation gives the small signal gain as or which is identical to the small signal gain equation (see above). For large input signals, where the gain approaches unity and the general gain equation approaches a linear asymptote: .3 Laser Fundamentals, William T. Silfvast Stimulated emission Stimulated emission is the process by which an incoming photon of a specific frequency can
Stimulated emission given by where the proportionality constant "B" is known as the "Einstein B coefficient" for that particular transition, and "ρ"("ν") is the radiation density of the incident field at frequency "ν". The rate of emission is thus proportional to the number of atoms in the excited state "N", and to the density of incident photons. At the same time, there will be a process of atomic absorption which "removes" energy from the field while raising electrons from the lower state to the upper state. Its rate is given by an essentially identical equation, The rate of absorption is thus proportional