Absolute emission rates of Spontaneous Parametric Down Conversion into single transverse Gaussian modes

TL;DR

This paper presents an analytical model for estimating the absolute emission rates of photon pairs generated by spontaneous parametric down conversion in single transverse Gaussian modes, applicable to both collinear and non-collinear configurations.

Contribution

It provides the first fully analytical expression for the collinear case and validates the model against typical experimental results.

Findings

Analytical expression for collinear SPDC emission rates.

Model agrees with experimental data.

Applicable to both collinear and non-collinear configurations.

Abstract

We provide an estimate on the absolute values of the emission rate of photon pairs produced by spontaneous parametric down conversion in a bulk crystal when all interacting fields are in single transverse Gaussian modes. Both collinear and non-collinear configurations are covered, and we arrive at a fully analytical expression for the collinear case. Our results agree reasonably well with values found in typical experiments, which allows this model to be used for understanding the dependency on the relevant experimental parameters.