“…Since 2000, RP beam has been investigated in detail and found many applications, such as microscopy, lithography, electron acceleration, proton acceleration, material processing, optical data storage, high-resolution metrology, super-resolution imaging, plasmonic focusing and laser machining, free-space optical communications [1][2][3][4][5][6][7][8][9][10]. In the past several years, RP beam with controllable spatial coherence (i.e., PCRP beam) was introduced in theory and generated in experiment [11][12][13][14][15]. The propagation properties of a PCRP beam are quite different from those of a RP beam.…”