Scientific Results

Fourier projection method for measuring the two-point correlation of Laguerre-Gaussian modes

Year: 2010

Authors: De Nicola S., Zito G., Meucci R., Al-Naimee K., Bassuah P.K.P.

Autors Affiliation: CNR, Ist Cibernet E Caianiello, I-80078 Pozzuoli, Na Italy;
CNR, Ist Nazl Ott Applicata, I-50125 Florence, Italy;
Univ Baghdad, Dept Phys, Baghdad, Iraq;
Univ Cape Coast, Dept Phys, Cape Coast, Ghana

Abstract: The spatial distribution and signature of vorticity of Laguerre-Gaussian modes is analysed by measuring the two-point spatial correlation function of the one-dimensional projection of the vortex field. We describe an interferometric approach, based on a Fourier projection algorithm, for the experimental determination of the two-point correlation function of the full complex vortex field at the cross-section plane of the recorded interference pattern. The two-point correlation at any transverse plane along the beam axis is retrieved by the angular spectrum of plane waves technique, allowing us to characterize the vortex structure and spatial coherence along the direction of propagation.

Journal/Review: JOURNAL OF OPTICS

Volume: 12 (3)      Pages from: 035411  to: 035411

KeyWords: Angular spectrum of plane waves; Beam axis; Experimental determination; Fourier; Image reconstruction techniques; Interference patterns; Laguerre-Gaussian modes; Optical spectrum analysis; Projection algorithms; Projection method; Spatial coherence; Spatial correlation functions; Spatial distribution; Transverse planes; Two-point; Two-point correlation; Two-point correlation function; Vortex field; Vortex structures, Electron energy levels; Holographic interferometry; Image reconstruction; Permittivity; Spectrum analyzers, Spectrum analysis
DOI: 10.1088/2040-8978/12/3/035404

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English