“…In recent years, an increased attention has been paid to array beams with spatially period due to its wide application in multiple fields including holographic optical tweezers [1], particles trapping [2], phonic lithography [3,4]et al Compared with a single beam, coherent array beams having source size diverges less can produce higher output power and lattice-like intensity distribution [5]. To obtain array beams, A number of theoretical methods and experimental techniques have been used to predict and generate all types of Array beams including laser array beam [6], Gaussian Schell-model array beam [7][8][9][10], partially coherent flat-topped laser array [11,12], various partially coherent partially phase-locked laser array [13][14][15][16], partially coherent Hermite-Gaussian linear array beam [17], partially coherent vortex beam array [18,19] et. al.…”