The Anatomy of Geometric Phase for an Optical Vortex Transiting a Lens
Optics
2022-05-24 v3
Abstract
We present an analytical means of quantifying the fractional accumulation of geometric phase for an optical vortex transiting a cylindrical lens. The standard fiber bundle of a Sphere of Modes is endowed with a Supplementary Product Space at each point so that the beam waists and their positions can be explicitly tracked as functions of lens transit fraction. The method is applied to quantify the accumulation of geometric phase across a single lens as a function of initial state and lens position within the beam. It can be readily applied to a series of lenses as well.
Cite
@article{arxiv.2111.07338,
title = {The Anatomy of Geometric Phase for an Optical Vortex Transiting a Lens},
author = {Mark T. Lusk and Andrew A. Voitiv and Chuanzhou Zhu and Mark E. Siemens},
journal= {arXiv preprint arXiv:2111.07338},
year = {2022}
}
Comments
10 pages, 13 figures