Nonparaxial Hankel vortex beams of the first and second types
V.V. Kotlyar
, A.A. Kovalev, V.A. Soifer


Image Processing Systems Institute, Russian Academy of Sciences,

Samara State Aerospace University

Full text of article: Russian language.


We consider new solutions of the nonparaxial Helmholtz equation in the cylindrical coordinates, which are treated as nonparaxial scalar vortex Hankel beams of the 1st, 2nd and 3rd types. The beams can be obtained from each other by differentiation. Higher-order types of Hankel beams show lower divergence than the lower-order types. The lowest- (zero-) order Hankel beam of the first type represents a spherical wave.

nonparaxial propagation, Hankel beam, optical vortex, spherical wave, beam divergence.

Kotlyar VV, Kovalev AA, Soifer VA. Nonparaxial Hankel vortex beams of the first and second types. Computer Optics 2015; 39(3): 299-304. DOI: 10.18287/0134-2452-2015-39-3-299-304.


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