Approximate analytical expression of flattened Gaussian beams passing through a paraxial optical system with an annular aperture

Longsheng Xiao; Yingxiong Qin; Xiahui Tang

doi:10.1117/12.918735

13 March 2012 Approximate analytical expression of flattened Gaussian beams passing through a paraxial optical system with an annular aperture

Longsheng Xiao, Yingxiong Qin, Xiahui Tang

Author Affiliations +

Proceedings Volume 8330, Photonics and Optoelectronics Meetings (POEM) 2011: Laser and Terahertz Science and Technology; 83300S (2012) https://doi.org/10.1117/12.918735
Event: Photonics and Optoelectronics Meetings 2011, 2011, Wuhan, China

Abstract

Propagation characteristics of flattened Gaussian beams through an annular apertured optical system remain unknown. Here we derive the approximate analytical expressions of flattened Gaussian beams passing through a paraxial optical system with an annular aperture based on the Collins integral and the expansion of the hard aperture function into a finite sum of complex Gaussian functions. Meanwhile, the corresponding closed-forms for the unapertured or circular apertured or circular black screen cases are also given. Some numerical examples are given to illustrate the propagation properties of flattened Gaussian beams through an optical system with an annular aperture. the numerical examples would be useful for some engineering applications.

Citation Download Citation

Longsheng Xiao, Yingxiong Qin, and Xiahui Tang "Approximate analytical expression of flattened Gaussian beams passing through a paraxial optical system with an annular aperture", Proc. SPIE 8330, Photonics and Optoelectronics Meetings (POEM) 2011: Laser and Terahertz Science and Technology, 83300S (13 March 2012); https://doi.org/10.1117/12.918735

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