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Bases for the Identification of Spatial Distributions of Intensity Laser Beams

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Abstract

This article presents the fundamentals of the identification of spatial distributions of laser beam intensity. This identification is essential for the certification of laser sources. The identification objective consists of the assessment of the distribution similarity of the radiated field intensity with a given (calculated) distribution. A methodology for identifying spatial distributions of laser beam intensity is proposed. A mathematical apparatus based on functional inequalities is developed to form similarity measures of the intensity distribution of a radiated field with an arbitrarily given distribution. Various similarity measures are considered, and several spatial intensity distributions are compared with Gaussian and uniform intensity distributions depending on the dynamic range of the identification tool. The sensitivity of similarity measures to the intensity distribution shape of the radiated field is revealed. Such well-known characteristics as the aberration factor and propagation coefficient of the laser beam are special cases of measures based on solutions of functional inequalities.

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Correspondence to A. M. Raitsin.

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Translated from Izmeritel’naya Tekhnika, No. 4, pp. 30-36, April, 2022.

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Raitsin, A.M., Ulanovskii, M.V. Bases for the Identification of Spatial Distributions of Intensity Laser Beams. Meas Tech 65, 258–265 (2022). https://doi.org/10.1007/s11018-022-02077-6

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