Partially coherent sources whose coherent modes are spatiotemporal optical vortex beams

Abstract

We analyze three non-stationary partially coherent sources whose coherent modes are spatiotemporal optical vortex (STOV) beams. Using spatiotemporal (ST) Bessel--Gauss and Laguerre--Gauss beams (STOV-carrying solutions to the space-time paraxial wave equation) as eigenfunctions in the coherent-modes representation of the mutual coherence function, we derive the ST versions of $J_0$-Bessel-correlated, $I_n$-Bessel-correlated, and twisted Gaussian Schell-model beams. We model, in simulation, these ST random beams via their coherent-modes expansions, compare and contrast the simulated results to theory, and analyze/discuss their free-space propagation characteristics. The work presented in this paper will be useful for simulating or physically generating these ST beams for use in applications or future studies.

Nonparaxial Focusing of Partially Coherent Gaussian Schell-Model and Bessel-Correlated Beams in Free Space

“…Future research can be related to the consideration of focusing partially coherent and partially polarized vector beams [45]. Of practical interest is the consideration of structured vortex beams with spin angular momentum (SAM) and orbital angular momentum (OAM) [46][47][48], partially coherent accelerating beams [49], beams possessing self-healing abilities in a turbulent media [50], and spatiotemporal optical vortex beams [51].…”

Tilted spatiotemporal optical vortex with partial temporal coherence [Invited]

“…Partial temporal coherence sources may offer such benefits for STOVs. STOVs with partial temporal coherence have been recently investigated and demonstrated [7,8] . However, there has not been a report of tilted STOVs with partial temporal coherence.…”