Propagation of Bessel and Bessel-Gaussian beams through an unapertured or 
apertured misaligned paraxial optical systems

Cai, Yangjian; Lu, Xiang

doi:10.1016/j.optcom.2007.01.058

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Propagation of Bessel and Bessel-Gaussian beams through an unapertured or apertured misaligned paraxial optical systems

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Cai, Yangjian
Max Planck Research Group, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Cai, Y., & Lu, X. (2007). Propagation of Bessel and Bessel-Gaussian beams through an unapertured or apertured misaligned paraxial optical systems. OPTICS COMMUNICATIONS, 274(1), 1-7. doi:10.1016/j.optcom.2007.01.058.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6D36-5

Abstract

Propagation of Bessel and Bessel-Gaussian beams through an unapertured or apertured misaligned paraxial optical system is investigated. Analytical formulas for Bessel and Bessel-Gaussian beams propagating through an unapertured misaligned paraxial optical system are derived based on the generalized diffraction integral formula for treating the propagation of a laser beam through a misaligned paraxial optical system in the cylindrical coordinate system. By expanding the hard aperture function into a finite sum of complex Gaussian functions, some approximate analytical formulas are derived for Bessel and Bessel-Gaussian beams propagating through an apertured misaligned paraxial optical system. Some numerical examples are illustrated. The present analytical formulas provide a convenient and effective way for studying the propagation and transformation of Bessel and Bessel-Gaussian beams through an unapertured or apertured misaligned paraxial optical system. (C) 2007 Elsevier B.V. All rights reserved.