Diffraction of Nondiverging Bessel Beams by Fork-Shaped and Rectilinear Grating

Details Diffraction of Nondiverging Bessel Beams by Fork-Shaped and Rectilinear Grating Diffraction of Nondiverging Bessel Beams by Fork-Shaped and Rectilinear Grating

Apr 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..899..333j&link_type=abstract

SIXTH INTERNATIONAL CONFERENCE OF THE BALKAN PHYSICAL UNION. AIP Conference Proceedings, Volume 899, pp. 333-334 (2007).

Mathematics

Logic

Diffraction And Scattering, Gratings

Scientific paper

We present an investigation about Fresnel diffraction of Bessel beams, propagating as nondiverging within a distance Ln, with or without phase singularities, by rectilinear and fork-shaped gratings. The common general transmission function of these gratings is defined and specialized for three different cases: binary amplitude gratings, amplitude holograms and their phase versions. Solving the Fresnel diffraction integral in cylindrical coordinates, we obtain analytical expressions for the diffracted wave amplitude for all types of proposed gratings, and make conclusions about the existence of phase singularities and corresponding topological charges in the created by the gratings beams of different diffraction orders.

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