Orbital angular momentum densities in the astigmatic transformation of Lissajous geometric laser modes

Author:

Chen Y. F.ORCID,Chung W. C.,Zheng X. L.,Hsieh M. X.,Tung J. C.1,Liang H. C.2

Affiliation:

1. National Taipei University of Technology

2. National Taiwan Ocean University

Abstract

Orbital angular momentum densities in the astigmatic transformation of Lissajous geometric laser modes are originally and systematically investigated. The quantum theory of the coherent state is exploited to derive an analytical wave representation for the transformed output beams. The derived wave function is further employed to numerically analyze the propagation dependent orbital angular momentum densities. The parts of the negative and positive regions in the orbital angular momentum density are found to rapidly change in the Rayleigh range behind the transformation.

Funder

Ministry of Science and Technology, Taiwan

Publisher

Optica Publishing Group

Subject

Atomic and Molecular Physics, and Optics

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