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Propagation properties of Hermite-cosine-Gaussian beams through a paraxial optical ABCD system with hard-edge aperture

✍ Scribed by Nanrun Zhou; Guihua Zeng

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
297 KB
Volume
232
Category
Article
ISSN
0030-4018

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✦ Synopsis

Based on the generalized Huygens-Fresnel diffraction integral, a recurrence propagation equation of Hermitecosine-Gaussian (HcoG) beams through a paraxial optical ABCD system with hard-edge aperture is derived, which permits us to obtain the analytical propagation expression for HcoG beams of any order. Furthermore, the closed-form propagation expressions for the Gaussian, Hermite-Gaussian, cosine (sine)-Gaussian, cosh (sinh) and cosine (sine) beams passing through a paraxial optical ABCD system with hard-edge aperture can be obtained by treating them as special cases of the analytical propagation expression for HcoG beams. The advantages of our analytical results are analyzed, and the applications are illustrated with numerical examples.

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✍ Zhangrong Mei; Daomu Zhao; Juguang Gu 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 333 KB

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 apert