Coulomb Field Scattering in Born-Infeld Electrodynamics

TL;DR

This paper investigates how electromagnetic waves scatter off Coulomb fields within Born-Infeld electrodynamics, deriving deflection angles, exact trajectories, and exploring potential bound states due to nonlinear interactions.

Contribution

It provides the first detailed analysis of electromagnetic scattering and bound states in Born-Infeld theory, including exact solutions and deflection calculations.

Findings

Calculated first-order deflection angles.

Derived exact particle trajectories.

Discussed the potential for electromagnetic bound states.

Abstract

In the context of Born-Infeld electrodynamics, the electromagnetic fields interact with each other via their non-linear couplings. A calculation will be performed where an incoming electromagnetic plane wave scatters off a Coulomb Field in the geometrical optics approximation. In addition to finding the first order angle of deflection, exact solutions for the trajectory will also be found. The possibility of electromagnetic bound states will be discussed.