Open AccessCatastrophe theory and caustics of radially symmetric beams
Author(s) -
С. И. Харитонов,
S. G. Volotovskiy,
С. Н. Хонина
Publication year - 2019
Publication title -
kompʹûternaâ optika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 29
eISSN - 2412-6179
pISSN - 0134-2452
DOI - 10.18287/2412-6179-2019-43-2-159-167
Subject(s) - caustic (mathematics) , paraxial approximation , curvilinear coordinates , physics , optics , surface (topology) , geometrical optics , exit pupil , optical axis , coordinate system , classical mechanics , mathematical analysis , geometry , mathematics , beam (structure) , quantum mechanics , pupil , lens (geology)
The work is devoted to the study of the caustics of radial beams. Analytical expressions for caustic surfaces of wave fronts created by radially symmetric diffractive optical elements are found. The result is presented in a curvilinear coordinate system consistent with the caustic surface. An asymptotic representation of the Kirchhoff integral near the optical axis is obtained, ensuring the correct calculations in the non-paraxial case.