Irradiance-moments characterization of off-axis Gaussian beam combinations by means of the Wigner distribution function

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The irradiance-moments characterization of off-axis Gaussian beam combinations is presented in use of the Wigner distribution function (WDF). Analytical expressions for the propagation through an optical paraxial ABCD system, beam propagation factor (M 2 factor), beam width, far field divergence angle and kurtosis parameter of the resultant beam are derived and illustrated with specific numerical examples. It is reexamined that a flat-topped irradiance profile of the resultant beam can be achieved at a certain plane by appropriately choosing beamlet parameters. As compared with previous work, our results show the advantage of using the WDF and irradiance-moments methods.

Keywords: Beam propagation factor (M2 factor); Kurtosis parameter K; Off-axis Gaussian beam combination; Wigner distribution function (WDF); irradiance moment

Document Type: Original Article


Affiliations: Institute of Laser Physics and Chemistry, Sichuan University, Chengdu, 610064, China

Publication date: January 1, 2003

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