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.
Results in Physics
Hyde, Milo W. IV, "Shaping the Far-zone Intensity, Degree of Polarization, Angle of Polarization, and Ellipticity Angle Using Vector Schell-model Sources" (2019). Faculty Publications. 175.