Dual-Laguerre Gaussian pseudo-Schell model beams

We introduce a novel class of pseudo-Schell model (PSM) sources featuring a Dual-Laguerre Gaussian (DLG) spectral degree of coherence. These sources exhibit perfect coherence for co-radial points while achieving tunable partially coherence between points at different radial distances via DLG parameter modulation. The light fields radiated from such sources, characterized by an initial Gaussian intensity profile and DLG coherence, exhibit a remarkable self-focusing effect with adjustable focal length and peak intensity controlled by Laguerre polynomial mode order, coherence length, and other source parameters. Furthermore, we demonstrate DLG-PSM vortex beams carrying arbitrary topological charges, which maintain stable annular profile with persistent null central intensity while offering flexible control over self-focusing behavior during propagation. This unique combination of features opens new possibilities for vortex beam applications in specific scenarios.