摘要: Analytical expressions are derived for a new set of optical beams, in which the radial dependence is described by sum Bessel distributions different orders, modified flat-topped Gaussian function expressed form 1-[1-exp(-ξ2)]M, where ξ dimensionless parameter and M(⩾1) scalar quantity. The can be readily expanded into series lowest-order modes with parameters; this situation makes it possible to express beam as conventional Bessel–Gaussian beams orders. propagation features investigated reveal how windowed passes progressively from smooth window toward hard-edge limit.