( Pp. 19-27)

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Honina Svetlana Nikolaevna doktor fiz.-mat. nauk, professor
Federalnoe gosudarstvennoe byudzhetnoe uchrezhdenie nauki Institut sistem obrabotki izobrazheniy Rossiyskoy Aakademii Nauk, Samarskiy gosudarstvennyy aerokosmicheskiy universitet imeni akademika S.P. Koroleva (nacionalnyy issledovatelskiy universitet) Karpeev Sergey V. doktor fiziko-matematicheskih nauk, professor Samarskogo gosudarstvennogo aerokosmicheskogo universiteta imeni akademika S.P. Koroleva; veduschiy nauchnyy sotrudnik Instituta sistem obrabotki izobrazheniy RAN
Image Processing Systems Institute of the Russian Academy of Sciences, Samara State Aerospace University, Samara Alferov Sergei V. kandidat fiziko-matematicheskih nauk, inzhener laboratorii NIL-97
Samara State Aerospace University, Samara Soyfer Viktor Aleksandrovich doktor tehn. nauk, professor, chlen-korrespondent RAN.
Federalnoe gosudarstvennoe byudzhetnoe uchrezhdenie nauki Institut sistem obrabotki izobrazheniy Rossiyskoy Aakademii Nauk, Samarskiy gosudarstvennyy aerokosmicheskiy universitet imeni akademika S.P. Koroleva (nacionalnyy issledovatelskiy universitet)
Theoretical and experimental investigations of the formation of cylindrical vector beams in birefringent crystals are implemented in the paraxial and nonparaxial cases. Two foci corresponding to the ordinary and extraordinary beams are formed by tight focusing (in nonparaxial case) along the axis of the crystal. The presence of the first-order vortex phase in circularly polarized incident beam allows to form in the crystal two foci with radial and azimuthal polarization. These results are generalized to the case of formation of radially and azimuthally polarized laser beams of higher orders. Experiments are carried out with a crystal of Iceland spar
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uniaxial crystal, cylindrical vector beams, laser beams of a high order, the polarization conversion.

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