Nonparaxial Near-nondiffracting Accelerating Optical Beams

TL;DR

This paper introduces new families of accelerating, nearly nondiffracting optical beams derived from Maxwell's equations, capable of following circular paths while maintaining their intensity profiles, using advanced mathematical techniques.

Contribution

The authors develop novel solutions to Maxwell's equations for optical beams that accelerate along curved trajectories with minimal diffraction, employing complex geometrical optics and the Kelvin transform.

Findings

New classes of accelerating optical beams constructed from Maxwell's equations.

Beams propagate along circular paths with preserved transverse profiles.

Method combines complex geometrical optics solutions and the Kelvin transform.

Abstract

We show that new families of accelerating and almost nondiffracting beams (solutions) for Maxwell's equations can be constructed. These are complex geometrical optics (CGO) solutions to Maxwell's equations with nonlinear limiting Carleman weights. They have the form of wave packets that propagate along circular trajectories while almost preserving a transverse intensity profile. We also show similar waves constructed using the approach combining CGO solutions and the Kelvin transform.