Аннотация:Mie problem of scattering of an electromagnetic wave by a spherical particle with the modified boundary conditions which takes into account influence of a thin superficial layer is considered. Analytical expressions for partial amplitudes of scattered waves and excited inside
the sphere, which usable at presence of anisotropy and girotropy of a superficial layer are found. Influence of thin dielectric layers on morphological resonances of Mie theory is numerically analyzed.