Three-dimensional theory of stimulated Raman scattering

TL;DR

This paper develops a comprehensive three-dimensional theoretical model of stimulated Raman scattering, analyzing how the spatial and temporal properties of the generated Stokes beam depend on the gain medium's geometry and optical parameters.

Contribution

It provides an analytical solution to Maxwell and atomic equations for 3D SRS, highlighting the role of superradiance and geometric factors like Fresnel number and optical depth.

Findings

Superradiant Stokes beam exhibits beam-like characteristics.

Intensity buildup of the superradiant component dominates the total SRS.

Coherent radiation depends primarily on Fresnel number and optical depth.

Abstract

We present a three-dimensional theory of stimulated Raman scattering (SRS) or superradiance. In particular we address how the spatial and temporal properties of the generated SRS beam, or Stokes beam, of radiation depends on the spatial properties of the gain medium. Maxwell equations for the Stokes field operators and of the atomic operators are solved analytically and a correlation function for the Stokes field is derived. In the analysis we identify a superradiating part of the Stokes radiation that exhibit beam characteristics. We show how the intensity in this beam builds up in time and at some point largely dominates the total Stokes radiation of the gain medium. We show how the SRS depends on geometric factors such as the Fresnel number and the optical depth, and that in fact these two factors are the only factors describing the coherent radiation.