Radial anisotropic twisted Hermite–Gaussian Schell-model beam array and its influence by turbulence effects

We propose a new twisted partially coherent beam source termed the radial anisotropic twisted Hermite-Gaussian Schell-model beam array (RATHGSMBA). An analytical expression for the cross-spectral density function of the RATHGSMBA is derived, and its propagation characteristics in non-Kolmogorov turbulence are analyzed. We demonstrate that each sub-beam undergoes splitting and rotates uniformly in the same direction during propagation. After a certain distance, beam divergence causes the intensities of adjacent sub-beams to overlap, resulting in complex interference profiles. In the far field, the overall intensity distribution converges to that of an individual array element due to the progressive dispersion of the sub-beams. Multiple adjustable parameters provide control over the beam profile evolution throughout propagation. This work proposes what we believe to be a new class of customizable partially coherent sources and suggests potential applications leveraging the twist phase in areas such as high-power laser systems, optical communications, and manipulation.