“…In the past decades, most research on partially coherent beams is devoted to Gaussian Schell-model beams whose intensity distribution and degree of coherence are Gaussian functions. Recently, more and more attention is being paid to Schell-model beams with special profiles [42,[48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63], such as partially coherent Hermite-Gaussian beams, partially coherent dark hollow beams, partially coherent flat-topped beams, partially coherent vortex beams, partially coherent cosh-Gaussian, cos-Gaussian and cosine-Gaussian beam, partially coherent Laguerre-Gaussian (0,1) beams, due to their important potential applications in various fields, including free-space optical communication, optical trapping and singular optics.…”