Sub-Wavelength Nonlinear Accelerating Beams

TL;DR

This paper demonstrates that nonlinear optical effects enable sub-wavelength beams to follow circular paths without attenuation, providing exact solutions to Maxwell's equations with Kerr or saturable nonlinearities.

Contribution

It introduces a new class of sub-wavelength accelerating beams that propagate in circular trajectories due to nonlinear effects, expanding the understanding of beam dynamics.

Findings

Sub-wavelength nonlinear beams can follow circular trajectories.

These beams are exact solutions to Maxwell's equations.

Nonlinearities prevent attenuation of evanescent components.

Abstract

We show that optical nonlinearities allow sub-wavelength beams to propagate in circular trajectories without being attenuated in spite of their partially evanescent spectrum. Such beams are exact solutions to Maxwell's equations with Kerr or saturable nonlinearity.