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Propagation of elegant Laguerre–Gaussian beams through an annular apertured paraxial ABCD optical system

✍ Scribed by Zhangrong Mei; Daomu Zhao; Juguang Gu

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
333 KB
Volume
240
Category
Article
ISSN
0030-4018

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✦ Synopsis

Based on the generalized Huygens-Fresnel diffraction integral and the expansion of the hard aperture function into a finite sum of complex Gaussian functions, the approximate analytical expression of elegant Laguerre-Gaussian beams passing through a paraxial ABCD optical system with an annular aperture is derived. Meanwhile, the corresponding closed-forms for the unapertured, circular apertured or circular black screen cases are also given. The obtained results provide more convenience for studying their propagation and transformation than the usual way by using diffraction integral formula directly. Some numerical examples are given to illustrate the propagation properties of elegant Laguerre-Gaussian beams.

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