title: Azimuthal decomposition with digital holograms.
abstract: We demonstrate a simple approach, using digital holograms, to perform a complete azimuthal decomposition of an optical field. Importantly, we use a set of basis functions that are not scale dependent so that unlike other methods, no knowledge of the initial field is required for the decomposition. We illustrate the power of the method by decomposing two examples: superpositions of Bessel beams and Hermite-Gaussian beams (off-axis vortex). From the measured decomposition we show reconstruction of the amplitude, phase and orbital angular momentum density of the field with a high degree of accuracy.
authors.affiliation: CSIR National Laser Centre, Pretoria, South Africa.
authors.forename: Igor A
authors.initials: IA
authors.lastname: Litvin
authors.forename: Angela
authors.initials: A
authors.lastname: Dudley
authors.forename: Filippus S
authors.initials: FS
authors.lastname: Roux
authors.forename: Andrew
authors.initials: A
authors.lastname: Forbes
mesh_terms: D001331:Automation; D006696:Holography / Q000295:instrumentation* / Q000379:methods; D015233:Models, Statistical; D016011:Normal Distribution; D055095:Optics and Photonics; D015203:Reproducibility of Results; D012542:Scattering, Radiation; D013997:Time Factors