title: Analytical far-field divergence angle of a truncated gaussian beam.
abstract: Approximate, but accurate, analytical expressions for the far-field divergence angle of a Gaussian beam normally incident on a circular aperture are derived. A first equation is obtained based on the concept of Gaussian transform, in which the Bessel function present in the far-field diffraction integral is approximated by a Gaussian function. Refining this approach yields another simple, practical closed-form formula with such a level of accuracy that we propose that it can be used as an exact reference. All approximations hold for any combination of Gaussian beam width and aperture radius.
authors: E M
authors: EM
authors: Drνge
authors: N G
authors: NG
authors: Skinner
authors: D M
authors: DM
authors: Byrne