Cross-spectral densities with helical-Cartesian phases

Zhangrong Mei, Olga Korotkova

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)20438-20448
Number of pages11
JournalOptics Express
Issue number14
StatePublished - Jul 6 2020

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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