Paper
30 May 2001 Nonparaxial singular beams of higher orders
Alexander V. Volyar, Vladlen G. Shvedov
Author Affiliations +
Proceedings Volume 4403, Second International Conference on Singular Optics (Optical Vortices): Fundamentals and Applications; (2001) https://doi.org/10.1117/12.428290
Event: Singular Optics 2000: Fundamentals and Applications of Optical Vortices, 2000, Crimea, Ukraine
Abstract
It is considered a construction possibility of high order paraxial singular beams from nonparaxial modes in a paraxial approximation. Laguerre-Gaussian beams cannot form from nonparaxial Legendre-Bessel beams by means of a relatively simple way over the whole optical axis on conventional approximate boundary conditions. Nevertheless, this operation may be realized at the expense of a new passage to the limit: a set of nonparaxial singular beams is unambiguously transformed into a set of guided modes of an optical fiber near its input. It is presented two practical significant cases.
© (2001) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Alexander V. Volyar and Vladlen G. Shvedov "Nonparaxial singular beams of higher orders", Proc. SPIE 4403, Second International Conference on Singular Optics (Optical Vortices): Fundamentals and Applications, (30 May 2001); https://doi.org/10.1117/12.428290
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KEYWORDS
Optical fibers

Optical vortices

Paraxial approximations

Beam propagation method

Spherical lenses

Wave propagation

Bessel functions

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