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Algorithms for flattened Gaussian beams passing through apertured and unapertured paraxial ABCD optical systems |
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| Authors: | Nanrun Zhou Guihua Zeng Liyun Hu |
| Institution: | aThe State Key Laboratory on Fiber-Optic Local Area Networks and Advanced Optical Communication Systems, Electronic Engineering Department, Institute of Modern Communications, Shanghai Jiaotong University, Shanghai 200030, PR China bCollege of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330027, PR China |
| Abstract: | The propagation property of flattened Gaussian beams (FGBs) is studied based on the Collins formula, and analytical propagation equations for FGBs with and without an aperture are derived. It is shown that the closed-form expressions for the FGB of order N passing through paraxial ABCD optical systems without an aperture can be written as the combinations of Confluent Hyper-geometric Functions, and that the analytical equations for the FGB of order N passing through apertured paraxial ABCD optical systems may involve Error Functions. The proposed algorithms for the considered beams can save computing time, provide intuitive physical insights, and help to design optical systems. Our results are confirmed and illustrated with numerical examples. |
| Keywords: | Flattened Gaussian beam Optical system Algorithm Aperture |
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