An approximate method for determining the radial and axial intensity of a Bessel-like beam is presented for the general case in which a radial Bessel distribution of any order is modulated by an arbitrary function. For Bessel–Gauss, generalized Bessel–Gauss, and Bessel–super-Gauss beams, this simple approximation yields results that are very close to the exact values, while they are exact for Bessel beams. A practical beam that can be generated with a combination of simple lenses is also analyzed and illustrated.
© 2000 Optical Society of America
R. M. Herman and T. A. Wiggins, "Bessel-like beams modulated by arbitrary radial functions," J. Opt. Soc. Am. A 17, 1021-1032 (2000)