Abstract
Explicit forms of the power density and the total radiation power of the second-harmonic generation in a thin spherical layer of a small radius are determined. The conditions for a maximal total power of the second harmonic and the direction of observation of the maximum intensity of the second harmonic are found analytically for special cases of the second-order dielectric susceptibility tensor. A numerical maximization of the energy characteristics of the second-harmonic generated radiation is carried out using one and two coherent sources with the same ellipticity of radiation. The advantage of using several coherent sources compared to a single source of initial radiation is shown.
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