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Off-axis vortex beam propagation through classical optical system in\n terms of Kummer confluent hypergeometric function

2020/05/11 by Ireneusz Augustyniak, Weronika Lamperska, Augustyniak, Ireneusz +7
Engineering · Physics and Astronomy · #FOS: Physical sciences #Optical Polarization and Ellipsometry #Optics (physics.optics) #Orbital Angular Momentum in Optics

paper · pdf · doi:10.48550/arxiv.2005.05136

openalex publication_date 2020/05/11 · openalex created_date 2022/07/17 · openalex updated_date 2026/07/28

Abstract

The analytical solution for the propagation of the laser beam with optical\nvortex through the system of lenses is presented. The optical vortex is\nintroduced into the laser beam (described as Gaussian beam) by spiral phase\nplate. The solution is general as it holds for the optical vortex of any\ninteger topological charge, the off-axis position of the spiral phase plate and\nany number of lenses. Some intriguing conclusions are discussed. The higher\norder vortices are unstable and split under small phase or amplitude\ndisturbance. Nevertheless, we have shown that off-axis higher order vortices\nare stable during the propagation through the set of lenses described in\nparaxial approximation, which is untypical behavior. The vortex trajectory\nregistered at image plane due to spiral phase plate shift behaves like a rigid\nbody. We have introduced a new factor which in our beam plays the same role as\nGouy phase in pure Gaussian beam.\n

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