Twist- and cross-phase-modulated Laguerre-Gaussian correlated Schell-model beam and its radiation forces

In this paper, we introduce what we believe to be a novel partially coherent beam with a nonconventional correlation function, named the twist- and cross-phase-modulated Laguerre-Gaussian correlated Schell-model (TCPM-LGSM) beam, which carries both twist and cross phase. The propagation properties of the TCPM-LGSM beam have been investigated in detail. Our results indicate that both the twist phase and cross phase hinder the evolution of the beam's intensity distribution from a Gaussian to a hollow profile due to the correlation structure. Additionally, when the beam simultaneously carries both phases, it forms an intensity distribution with two intensity peaks in the focal plane. Furthermore, the twist phase and cross phase can improve the beam's ability to maintain its distribution of the spectral degree of coherence (SDOC) in the far field. Under the combined influence of phases, although the distribution of the SDOC changes, it significantly enhances the ability to measure the order of the correlation structures with higher orders. Moreover, we studied the orbital angular momentum (OAM) distribution of the TCPM-LGSM beam and found that, although the correlation structure itself does not carry OAM, it substantially alters the beam's OAM distribution when beam carries the twist and cross phase. Finally, we explored the application of the proposed beam in particle trapping. By modulating the beam's source parameters, particles can be trapped at the ring, the center, or at the two intensity peaks, respectively. This work provides valuable theoretical guidance for information transfer and particle trapping.