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Proceedings Paper

Complete azimuthal decomposition of optical fields
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Paper Abstract

By using digital holograms, we present a simple technique for performing a complete azimuthal decomposition of an arbitrary laser mode. The match-filter, used to perform the azimuthal decomposition, is bounded by an annular ring, allowing us to conduct a scale-independent decomposition on our selected mode. This technique therefore requires no prior knowledge of the mode structure, the mode phases, or the amplitude distribution. A basis comprising of the angular harmonics is used to express the spatial distribution of the selected mode in terms of spatially dependant coefficients. We use this to infer directly from the measured weightings of the azimuthally decomposed modes and their phase-delay measurements, the intensity of the selected field, its phase, and its orbital angular momentum (OAM) density. We illustrate the concept by executing a full decomposition of two examples: a superposition of two Bessel beams, with relative phase differences, and an off-axis vortex mode. We show a reconstruction of the amplitude, phase and OAM density of these fields with a high degree of accuracy.

Paper Details

Date Published: 5 March 2013
PDF: 6 pages
Proc. SPIE 8637, Complex Light and Optical Forces VII, 86370D (5 March 2013); doi: 10.1117/12.2004252
Show Author Affiliations
A. Dudley, CSIR National Laser Ctr. (South Africa)
I. Litvin, CSIR National Laser Ctr. (South Africa)
F. S Roux, CSIR National Laser Ctr. (South Africa)
A. Forbes, CSIR National Laser Ctr. (South Africa)
Univ. of KwaZulu-Natal (South Africa)
Stellenbosch Univ. (South Africa)

Published in SPIE Proceedings Vol. 8637:
Complex Light and Optical Forces VII
Jesper Glückstad; David L. Andrews; Enrique J. Galvez, Editor(s)

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