We extend an analytical solution for the problem of diffraction of a plane wave by a spherical particle to the case of an inhomogeneous wave. Numerical examples showing a significant change in the scattered-wave structure compared with the case of diffraction of a homogeneous wave are presented.
A review of investigations of microwave dielectric permittivity and dielectric nonlinearity of incipient ferroelectrics (SrXO,, KTaO,, PbTe) is presented. Physical mechanisms of excess anharmonicity of incipient ferroelectrics in weak biasing fields are discussed. It is shown, that measurements of field dependences of dielectric permittivity E and second harmonic generation efficiency in strong biasing fields make it possible to reduce the influence of hindering factors on the accuracy of determination of anharmonic constants in free energy expansion. Low-temperature dependences of E( T) for incipient ferroelectrics are considered with regard to soft mode stabilization. Phenomenological analysis of available experimental data affirms the conclusion that the character of low-temperature paraelectric stabilization of SrTiO, is strongly affected by structure phase transition. Arguments are presented in proof of the possibility for metastable polar phase to exist in SrTiO, at helium temperatures, which brings a key to understanding the reasons of numerous observations of hardly reproducible anomalies in strontium titanate.
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