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Proceedings Paper

Vortical structure of wave caustics
Author(s): Svetlana N. Lapayeva; V. I. Vershitskyi; V. I. Shostka
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Paper Abstract

The methods of geometrical optics are of a great importance of calculation of wave fields in inhomogeneous surroundings. In particular, the applications are extremely interesting in correspondence with description of extending and radiation of light waves in inhomogeneous lens devices and also in waveguides with inhomogeneous filling, nonregular waveguides and the waveguides containing casual dissimilarities. Process of origin of optical caustics in a near field on a back of short pieces of a multimode waveguides is interlinked either with the transient behavior of natural modes of a light pipe, or with the diffraction location effects of the plane waves localized on surface of surroundings. The important role of the caustic surfaces in wave problems is defined by that they characterize a family of optical rays and allow estimating a pattern of behavior of a field in all space of the waveguide. The wave caustics formed after short pieces of a multimode fiber have a vertical nature. Such assertion expressed by M. Berry and J. Nye in terms of catastrophe theory are the subject of the given experimental work. The caustic near its cuspidal point contains the vortices in the coupled states with the twofold topological charge. Transition of the wave caustic is accompanied by the vortex sign conversion. At the cuspidal spike the two vortices are unified in the vertical unfolding.

Paper Details

Date Published: 24 September 2004
PDF: 9 pages
Proc. SPIE 5582, Advanced Optoelectronics and Lasers, (24 September 2004); doi: 10.1117/12.583456
Show Author Affiliations
Svetlana N. Lapayeva, National Taurida V. Vernadsky Univ. (Ukraine)
V. I. Vershitskyi, National Taurida V. Vernadsky Univ. (Ukraine)
V. I. Shostka, National Taurida V. Vernadsky Univ. (Ukraine)


Published in SPIE Proceedings Vol. 5582:
Advanced Optoelectronics and Lasers
Igor A. Sukhoivanov; Vasily A. Svich; Alexander V. Volyar; Yuriy S. Shmaliy; Sergy A. Kostyukevych, Editor(s)

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