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Updated: Apr 26, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

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Published on: August 12, 2013

Generation of Laguerre-Gaussian LGp0 beams using binary phase diffractive optical elements.

Abdelhalim Bencheikh, Michael Fromager, Kamel Aït Ameur

|August 5, 2014

Summary

This summary is machine-generated.

Researchers developed a new method using a binary phase diffractive optical element (BPDOE) to create high-radial-order Laguerre-Gaussian (LG) beams. This technique offers a promising way to generate specialized laser beams for applications in atom traps and solid-state lasers.

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Last Updated: Apr 26, 2026

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Area of Science:

Optics and Photonics
Laser Physics
Diffractive Optics

Background:

Non-Gaussian laser beams with specific intensity profiles are gaining research interest.
Laguerre-Gaussian (LG) beams are a key class of non-Gaussian beams with applications in optical trapping and laser technology.

Purpose of the Study:

To present a novel technique for generating high-radial-order Laguerre-Gaussian (LGp0) beams.
To introduce the use of a binary phase diffractive optical element (BPDOE) for this purpose.

Main Methods:

Utilizing a binary phase diffractive optical element (BPDOE) to transform a fundamental Gaussian beam.
Designing the BPDOE based on Fresnel-Kirchhoff integral calculations.
Analytically modeling the diffracted intensity at the focal plane of a lens.

Main Results:

Successfully generated high-radial-order LGp0 beams using the proposed BPDOE method.
Demonstrated good beam quality transformation through numerical simulations and experimental validation.
The analytical modeling of diffracted intensity at the focus plane was achieved for the first time.

Conclusions:

The developed BPDOE technique is effective for generating high-radial-order LGp0 beams.
The generated LGp0 beams exhibit good quality and are suitable for applications such as atom trapping and pumping solid-state lasers.