Document Type

Article

Publication Date

3-2019

Abstract

This paper presents a method to control both the shape and polarization of a beam in the far field using a vector Schell-model source. Given a desired far-zone beam shape and polarization, and applying Fourier and statistical optics theory, we derive the requisite second-order moments of said source, discuss what aspects of the far-zone beam can be controlled, and develop a step-by-step procedure for synthesizing the required random vector field instances. We validate this approach with Monte-Carlo wave-optics simulations. The results are found to be in very good agreement with the desired far-zone beam characteristics. The beam-shaping technique developed in this paper will find use in optical trapping, optical communications, directed energy, remote sensing, and medical applications.

Comments

© 2019 The Authors.

This article is published by Elseiver, licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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DOI

10.1016/j.rinp.2019.02.008

Source Publication

Results in Physics (e-ISSN 2211-3797)

Included in

Optics Commons

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