Twisted electromagnetic sinc Schell-model beam and its transmission in a turbulent atmosphere

We present the twisted electromagnetic sinc-correlation Schell -model (EM TSSM) beam as an extension of the cylindrical sinc Schell -model beam and analyze the necessary source parameter conditions to generate a physically viable beam. Furthermore, we thoroughly investigate the propagation properties of the EM TSSM beam in atmospheric turbulence using the extended Huygens-Fresnel integral, explicitly focusing on spectral intensity, degree of polarization (DOP), and degree of coherence (DOC). It shows that the twisted phase has a noticeable impact on the intensity profiles of these beams, causing them to exhibit rotation and self -splitting while still maintaining their shape in free space. Moreover, during propagation through a turbulent atmosphere, it exhibits self -combining properties over a long range and recovers the plat -topped distribution. Compared with the sinc Schell -model beam without the twisted phase, the DOP distribution of such a beam can rotate around its distribution center. As these beams propagate through turbulent atmospheres, they can self -heal their DOP distribution within specific ranges affected by atmospheric turbulence. A twist factor causes non -unidirectional rotation of the DOC distribution in free space. The DOC gradually transforms from multi -strip profiles into a Gaussian -like distribution. Furthermore, the beam parameters play a crucial role in shaping the DOC. The results will be useful in optical trapping and optical communication.