“…Compared with the previous models of LD beam, including Hermite-Gaussian model [23], Gaussian model [25,27,28], elliptical Gaussian model [24,29], and negative exponential Gaussian model [22,30], the novel output model E y (x 0 , y 0 ) � E 0 exp(−p|x 0 | (3/2) − qy 2 0 ) in this article is more precise for single transverse model beam. For the calculation of the vector Rayleigh diffraction integrals, we expand exp(ik|r − r 0 |) into a series by keeping the first, second, and third series expansions.…”