Ukrainian Journal of Physical Optics 

Number  3, Volume 5,  2004

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Laguerre-Gaussian Beams in Uniaxial Crystals
Volyar A., Fadeyeva T.

National Tavrida V.Vernandsky University, Vernandsky av. 4, Simferopol, 95007, Crimea, Ukraine

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We described propagation of light beams in uniaxial crystals. We solved the paraxial wave equation and find a full set of Laguerre-Gaussian beams with a complex argument. We showed that any light beam could be expressed by the superposition of the mode beams in the crystal. We found the conformity between the presented theory and the representations of the fields in other theories and showed that conversion of the Laguerre-Gaussian beams with the indices  (and   being arbitrary) can be considered on the base of Jonesís matrix formalism.

Key words: optical vortex, uniaxial crystal, singular beam
PACS: 42.81.-i,42.81.Dp, 67.57.Fg

doi 10.3116/16091833/5/3/81/2004

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