An analytical formula for signal optimization in stimulated photon-photon scattering setup with three laser pulses

TL;DR

This paper derives an analytical formula to optimize the detection of stimulated photon-photon scattering signals generated by three focused laser pulses, enabling better experimental design and signal enhancement.

Contribution

The paper introduces a new approximate analytical formula for predicting the angular distribution and yield of signal photons in a three-laser-pulse setup for photon-photon scattering detection.

Findings

Derived a general analytical formula for signal photon distribution and yield.

Performed parametric studies to optimize signal detection parameters.

Provided insights into how laser parameters affect photon-photon scattering signals.

Abstract

We consider a setup to detect stimulated photon-photon scattering using high-power lasers. Signal photons are emitted from an overlap of the incoming intense laser pulses focused in vacuum from three sides. We derive and justify a general approximate analytical formula for the angular distribution and total yield of such signal photons in terms of the parameters of the incoming pulses, including their intensity, carrier frequencies, durations, focusing, polarizations, mutual orientation and overlap. Using the obtained formula a parametric study of the signal is carried out and optimization is performed.