Quantum-statistical theory of Raman scattering processes

Understand

Raman scattering from a great number of phonon modes is described from a quantum-statistical point of view within the standing-wave model.

• The master equation for the completely quantum case, including laser pump depletion and stochastic coupling of Stokes and anti-Stokes modes, is derived and converted to classical equations: either into a generalized Fokker-Planck equation and an equation of motion for the characteristic function or into the master equation in Fock representation.
• These two approaches are developed both in linear and nonlinear regime.
• A detailed analysis of scattering into Stokes and anti-Stokes modes in linear regime, i.e., under parametric approximation, is presented.