Beam Shifting due to Bifurcation in a Cavity Environment

TL;DR

This paper models how bifurcation in optical beams within cavity environments can cause shifts in the beam's position, providing a formal framework for simulating such phenomena under complex conditions.

Contribution

It introduces a mathematical formalism for predicting beam position shifts due to bifurcation in cavity environments, extending previous bifurcation simulations.

Findings

Beam bifurcation can lead to measurable shifts in beam position.

The formalism enables simulation of bifurcation effects under complex conditions.

Predicts potential implications for cavity-based photon interaction experiments.

Abstract

A number of physical processes show some form of bifurcation or periodic splintering of a single distribution into two new ones. Recently, it has been noted that cavity searches for interactions between photons and exotic fields may also result in bifurcation[1]. This paper builds on previous simulations of bifurcation of an optical beam in the presence of periodic focusing [2]. Here, however, the focus is on predicting a shifting of the beam's position, defined by the center of the energy density, that can result. Mathematical models are described and the formalism for simulating bifurcation under complex conditions is delineated.