Approximate propagation equations of flattened gaussian beams passing through a paraxial ABCD system with hard-edge aperture |
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Authors: | Baida Lü Shirong Luo |
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Affiliation: | 1. Institute of Laser Physics &2. Chemistry, Sichuan University , Chengdu, 610064, Peoples' Republic of China Fax: E-mail: badalu@scu.edu.cn |
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Abstract: | Abstract The propagation of flattened Gaussian beams through a paraxial optical ABCD system with hard-edge aperture is studied. Approximate closed-form equations of FGBs for the apertured case are derived by means of the expansion of the circ function into a finite sum of complex Gaussian functions. The advantages of the method as compared with the straightforward integration of the Collins formula are discussed and illustrated with numerical examples. |
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