## Abstract

In recent years, considerable attention has been devoted to laser beams with specific intensity profile, i.e., non-Gaussian. In this work, we present a novel technique to generate high-radial-order Laguerre–Gaussian beams ${\mathrm{LG}}_{p0}$ based on the use of a binary phase diffractive optical element (BPDOE). The latter is a phase plate made up of annular zones introducing alternatively a phase shift equal to 0 or $\pi $ modeled on positions which do not coincide with the position of the zeros of the desired ${\mathrm{LG}}_{p0}$ beam. The ${\mathrm{LG}}_{p0}$ beams are obtained by transforming a fundamental Gaussian beam through an appropriate BPDOE. The design of the latter is based on the calculation of the Fresnel–Kirchhoff integral, and the diffracted intensity at the focus plane of a lens has been modeled analytically for the first time. The numerical simulations and experiment demonstrate a good beam quality transformation. Obtained ${\mathrm{LG}}_{p0}$ are suitable for atom trap and pumping solid state laser applications.

© 2014 Optical Society of America

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