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Approximate analytical expressions of Laguerre-Gaussian beams passing through a paraxial optical system with an annular aperture

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On the basis of the expansion of the hard aperture function into a finite sum of complex Gaussian functions, the approximate analytical expression of Laguerre-Gaussian beams passing through an annular apertured paraxial ABCD optical system is derived. Meanwhile, the corresponding closed-forms for the unapertured or circular apertured or circular black screen cases have also been given. Numerical examples are given to illustrate the propagation characteristics of Laguerre-Gaussian beams.

Document Type: Research Article

DOI: http://dx.doi.org/10.1078/0030-4026-00374

Affiliations: Department of Physics, Zhejiang University, Hangzhou 310027, China

Publication date: September 1, 2004

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