Document Type


Publication Date



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.


Publisher version of record at Elsevier:
Hyde, M. W. (2019). Shaping the far-zone intensity, degree of polarization, angle of polarization, and ellipticity angle using vector Schell-model sources. Results in Physics, 12, 2242–2250.

Published under a Creative Commons Attribution Non-Commercial No Derivatives License. CC BY-ND 4.0. If you remix, transform, or build upon the material, you may not distribute the modified material.



Source Publication

Results in Physics

Included in

Optics Commons