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Propagation of three-dimensional elegant Hermite-Gaussian beams through a 4 × 4 paraxial optical system

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Based on the Collins integral formula, an analytical propagation equation of three-dimensional (3D) elegant Hermite-Gaussian (H-G) beams through a 4 × 4 paraxial optical system is derived, by means of which a detailed study of astigmatic H-G beams propagating through a three-cylindrical-lens mode converter is made. It is found that astigmatic elegant H-G beams can be converted to symmetric elegant H-G beams in the sense of second-order moments and the symmetric behavior remains upon propagation in free space, but this type of symmetrization is imperfect.
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Keywords: Three-dimensional elegant Hermite-Gaussian beam; imperfect symmetrization; propagation equation

Document Type: Original Article

Affiliations: Dept. of Applied Physics, Southwest Jiaotong University, Chengdu 610031, China

Publication date: 2002-09-01

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