Paper
20 November 1996 Characterization of laser beams using concentric transmission rings
Brigitte Belanger, Reza Massudi, Michel Piche
Author Affiliations +
Proceedings Volume 2870, Third International Workshop on Laser Beam and Optics Characterization; (1996) https://doi.org/10.1117/12.259885
Event: Third International Workshop on Laser Beam and Optics Characterization, 1996, Quebec City, Canada
Abstract
It is known that the Fourier transform of an infinitesimally thin circular ring is a Bessel function. By fabricating a mask with zero transmittance except at a given number of concentric thin rings, we have generated a series of Bessel beams, each of which constitutes a diffraction-free beam. We show theoretically and experimentally that a proper selection of Bessel beams leads to a periodic pattern along the propagation axis, e.g. a self-imaging field is produced. The on-axis profile of the field is then expressed as the discrete Fourier transform of the beam incident on the mask. The position of the intensity maxima along the propagation axis provides a direct measurement of the curvature of the wavefront of the incident laser beam. We further propose to use a transmission mask with a specific distribution of thin rings as a method to measure the second-order moment of laser beams.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Brigitte Belanger, Reza Massudi, and Michel Piche "Characterization of laser beams using concentric transmission rings", Proc. SPIE 2870, Third International Workshop on Laser Beam and Optics Characterization, (20 November 1996); https://doi.org/10.1117/12.259885
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KEYWORDS
Bessel beams

Fourier transforms

Superposition

Bessel functions

Photomasks

Wave propagation

Laser beam propagation

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