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Optical and Quantum Electronics

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01-01-2014

Generation and propagation of novel donut beams by a spiral phase plate: Humbert beams

Authors: Abdelmajid Belafhal, Hamid Nebdi

Published in: Optical and Quantum Electronics | Issue 1/2014

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Abstract

The theoretical conversion of the Bessel-modulated Gaussian beam with a quadratic radial dependence by a spiral phase plate (SPP) leads us to generate a novel donut family that we called it Humbert beam. In this paper, the different theoretical tools are developed to obtain these new waves. Some numerical calculations are performed to study the transformation and the propagation of this new family by a SPP with an integer topological charge through an ABCD optical system. The present study shows also that the Humbert beam generalized the Kummer family waves.

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Title: Generation and propagation of novel donut beams by a spiral phase plate: Humbert beams
Authors: Abdelmajid Belafhal
Hamid Nebdi
Publication date: 01-01-2014
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 1/2014
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-013-9741-x

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