We apply the Collins-Huygens integral to analytically describe propagation of a doughnut beam generated by a spiral phase plate. Measured beam profiles in free space and through an ABCD-lens system illustrate excellent agreement with theory. Applications range from the creation of optical beams with angular momentum to microscopy to trapping neutral atoms. The method extends to other beam shaping components, too.
A. Mawardi Generation of a donut beam for a tight radial confinement of atoms in a one-dimensional optical lattice, (2010), Master thesisBibTeX