24 August 2009 Numerical calculation of arbitrary Helmholtz-Gauss beams
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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.
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Carlos Lopez-Mariscal, Julio C. Gutiérrez-Vega, "Numerical calculation of arbitrary Helmholtz-Gauss beams", Proc. SPIE 7430, Laser Beam Shaping X, 743009 (24 August 2009); doi: 10.1117/12.827265; https://doi.org/10.1117/12.827265
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