Matrix formulation of the beam quality of the Hermite-Gaussian beam |
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Authors: | W. Li G. Feng Y. Huang G. Deng Yu Huang J. Chen Sh. Zhou |
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Affiliation: | (1) Department of Opto-electronics, Sichuan University, Chengdu, 610064, China;(2) North China Research Institute of Electro-Optics, Beijing, 100015, China |
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Abstract: | Based on the M 2-parameter of Hermite-Gaussian beam, we deduced the matrix formulation of the beam quality for nonsymmetric two-dimensional Hermite-Gaussian beam, which at an arbitrary azimyth angle α. And coupled beam radius square, coupled M 2-parameter also have been introduced. The beam radius versus azimuth angle α at different positions has been presented by numerical simulation; and the track of M 2-parameter versus azimuth angle α has been given. The M 2-parameter matrix is universal and available both in the theoretical analysis and the practical measurement of the beam quality for a arbitrary two-dimensional nonsymmetric higher-order Gaussian beam. |
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