Astigmatic laser mode converters and transfer of orbital angular momentum

Superpositions of the orbital angular momentum for applications in quantum experiments

“…There are several experimental methods like cavity induced production, astigmatic mode conversion [10] and the use of computer generated holograms [11] for creating LG modes. In this article we restrict ourselves to describing the use of computer generated holograms.…”

Coherent optical vortices from relativistic electron beams

“…Promising applications include expanded x-ray magnetic circular dichroism [9] where angle-resolved energy loss spectrometry distinguishes spin-polarized atomic transitions subject to different photon OAM and polarization states [10]. Traditionally, these "optical vortices" are created by shaping of the phase front of a laser as it passes through different optical media [11][12][13], such as spiral phase plates [14] or computer generated holograms [15]. Analogous techniques have also been used to transform x-rays into vortices at synchrotron light sources [16,17], and alternate methods suggest vortex beams can be created through Compton back-scattering [18] or harmonic emission in undulators [19].…”

Analytic results for spatial coherence and information entropy of an optical vortex field

“…While certain results have been known for some time [2,4], we are able to be more explicit. In particular, concerning the connnection coefficients between LG and HG modes, we provide a closed form in terms of the Gauss hypergeometric function 2 F 1 , or equivalently, in terms of certain values of Jacobi polynomials P (α,β) n (x).…”