Open AccessCross-spectral densities with helical-Cartesian phases
Author(s) -
Zhangrong Mei,
Olga Korotkova
Publication year - 2020
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.397932
Subject(s) - cartesian coordinate system , superposition principle , physics , separable space , vortex , orthogonal coordinates , optics , planar , polar coordinate system , invariant (physics) , phase (matter) , optical vortex , geometry , mathematical analysis , classical mechanics , mathematics , quantum mechanics , computer science , mechanics , computer graphics (images)
We introduce a class of planar, stationary sources whose cross-spectral densities carry a combination of helical and Cartesian phases. The helical phase is linear, separable in polar coordinates, resulting in a vortex-like average intensity with a dark area centered on the optical axis; the Cartesian counterpart is separable in the x- and y-coordinates and is responsible for asymmetric average intensity redistribution along the x- and y-axes. While endless possibilities exist for modeling of the Cartesian phase factor, in this paper we employ a superposition of linear phases with arbitrarily assigned weighing factors. Such construction is analytically and experimentally useful in general and, in particular, as we show, for generation of asymmetric vortex lattices.