Non-Paraxial Accelerating Beams
Optics
2012-04-27 v2 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Classical Physics
Abstract
We present the spatially accelerating solutions of the Maxwell equations. Such non-paraxial beams accelerate in a circular trajectory, thus generalizing the concept of Airy beams. For both TE and TM polarizations, the beams exhibit shape-preserving bending with sub-wavelength features, and the Poynting vector of the main lobe displays a turn of more than 90 degrees. We show that these accelerating beams are self-healing, analyze their properties, and compare to the paraxial Airy beams. Finally, we present the new family of periodic accelerating beams which can be constructed from our solutions.
Cite
@article{arxiv.1201.0300,
title = {Non-Paraxial Accelerating Beams},
author = {Ido Kaminer and Rivka Bekenstein and Jonathan Nemirovsky and Mordechai Segev},
journal= {arXiv preprint arXiv:1201.0300},
year = {2012}
}