Second-Harmonic Generation from a Thin Cylindrical Layer: II. Analysis of Solution

Abstract

The problem of second-harmonic generation by a plane elliptically polarized electromagnetic wave from a thin optically nonlinear layer on the surface of a cylindrical dielectric particle of finite dimensions has been analyzed. The solution has been analyzed graphically by constructing three-dimensional directivity patterns, which characterize the spatial distribution of the second-harmonic radiation power and its polarization. It has been revealed that, if the radii of the cylindrical particle bases are small, for each anisotropy coefficient, there is its own individual shape of the directivity pattern. An increase in the height of the cylindrical particle leads to the flattening of the directivity pattern. We have found more than 20 mathematical properties of the solution that characterize the symmetry of the second-harmonic field distribution. Some properties have been illustrated on directivity patterns.