Asymmetric cosine-Gaussian Schell-model sources

We introduce a new class of Schell -model source whose spatial correlation function carries a finite series of nontrivial phases and is modulated by cosine function. The propagating formula for the cross -spectral density (CSD) function of the beams generated by this new source in free space is derived and used to investigate the characteristics of the light fields for different modulation parameters. The results show that the appearance of the modulating function and the nontrivial phase sequence cause the radiated fields with extraordinary characteristics during propagation, such as self -splitting and self -interfering in an asymmetric manner. This method of jointly controlling the magnitude and phase of the source complex coherence state provides a new approach for achieving beam shaping. (c) 2024 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement