Half-integer order Bessel beams
Optics
2015-02-24 v2
Abstract
Optical beams are solutions to the paraxial wave equation (PWE). In this work we report a new, to our knowledge, optical beam. We solve the PWE by using the angular spectrum of plane waves theory in circular cylindrical coordinates. This lead us to solutions expressed in integral form that can be evaluated in closed-form for half-integer order Bessel functions. We show how to implement numerical simulation and how these results are confirmed by experiment. We believe this approach facilitates the analysis and synthesis of generic optical beams.
Cite
@article{arxiv.1405.7755,
title = {Half-integer order Bessel beams},
author = {Adrian Carbajal-Dominguez and Jorge Bernal and Alberto Martin-Ruiz and Gabriel Martinez-Niconoff and Jose Segovia},
journal= {arXiv preprint arXiv:1405.7755},
year = {2015}
}
Comments
11 pages, 4 figures