In this work, the interaction of a thin medium of neon gas localized in the focal region of sharply and loosly focused Gaussian, radially and azimuthally polarized fields was investigated. The distribution of fields in the focal plane was described using the Richards-Wolf theory, taking into account the presence of three spatial field components in the solution. The generated harmonics were investigated from the point of view of the intensity and polarization state described within the framework of the 3D Stokes parameters formalism. The results were studied in dependence on the distance from the focal plane to the detector, as well as their distribution in the plane perpendicular to the optical axis. The efficiency of harmonic generation in different spatial modes was investigated, as well as the topology of the spatial distribution of individual harmonics in the plane perpendicular to the optical axis.
41.90.+e Other topics in electromagnetism; electron and ion optics
42.65.-k Nonlinear optics
$^1$Department of Solid State Physics, Faculty of Physics, M.V.Lomonosov Moscow State University\
$^2$NRC «Kurchatov Institute», 1, Akademika Kurchatova pl.
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