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Proceedings Paper

Numerical calculation of arbitrary Helmholtz-Gauss beams
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Paper Abstract

We present a method to calculate the 2-dimensional complex angular spectrum required to produce a Helmholtz- Gauss (HzG) beam with an arbitrary intensity profile. Using an iterative Fourier transform algorithm, we find numerical solutions for several instances of spectra and we reproduce the corresponding beams by encoding the resulting on a spatial light modulator. We verify the experimental results and compare them to the computer model of their propagation to excellent agreement. We quantitatively asses the fidelity of the produced beams and their expected extended propagation properties as HzG beams. Our method can be used to produce an arbitrary beam with the same extended invariance range characteristic of HzG beams.

Paper Details

Date Published: 24 August 2009
PDF: 6 pages
Proc. SPIE 7430, Laser Beam Shaping X, 743009 (24 August 2009); doi: 10.1117/12.827265
Show Author Affiliations
Carlos Lopez-Mariscal, National Institute of Standards and Technology (United States)
Julio C. Gutiérrez-Vega, Tecnológico de Monterrey (Mexico)

Published in SPIE Proceedings Vol. 7430:
Laser Beam Shaping X
Andrew Forbes; Todd E. Lizotte, Editor(s)

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