Beam shifting due to bifurcation in a cavity environment

A number of physical processes show some form of bifurcation or periodic splintering of single distributions 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 resulting center of the energy density. Mathematical models are described and the formalism for simulating bifurcation under complex conditions is delineated.