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Generation of new doughnut beams from Li’s flattened Gaussian beams



  1. Laboratory of Nuclear, Atomic and Molecular Physics, Physics Department, Faculty of Sciences, Chouaïb Doukkali University, P. B.: 20, 24000 El Jadida, Morocco


Using Collins-Huygens integral formula, a method for generation of Superposition of Kummer (SK) beams as new kind of doughnut beams is demonstrated. The method is based on the conversion of phase of the non-doughnut Li’s flattened Gaussian (LFTG) beams, which are the incident beams, by a Spiral Phase Plate (SPP) system. It is shown that doughnut beams can be produced from non-doughnut beams. Mathematical approaches of propagation properties of generated laser light are established for integer and fractional topological charges of SPP. The above results concerning the formation of Kummer beams by an SPP, also about propagation of LFTG and fundamental Gaussian beams through an ABCD optical system without SPP and other results are deduced from ours as particular cases when the topological charges are integer. Some numerical simulations of propagation of novel beams in free space (in the cases of an integer (χ=l=1) and a fractional topological charge (χ≠1)) and through a fractional Fourier transform (FRFT) system (for l=1) are also performed in this work..


Superposition of Kummer beams; Doughnut beams; Spiral Phase Plate; Li’s flattened Gaussian beams; ABCD-treatment; Fractional Fourier transform system; Free space..

Submitted at: Sept. 28, 2013
Accepted at: Nov. 7, 2013


L. EZ-ZARIY, F. KHANNOUS, H. NEBDI, M. KHOUILID, A. BELAFHAL, Generation of new doughnut beams from Li’s flattened Gaussian beams, Journal of Optoelectronics and Advanced Materials Vol. 15, Iss. 11-12, pp. 1188-1199 (2013)