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The photoionization of a two-shell endohedral A@CN1@CN2 is considered.Formulas are presented for cross-sections and angular anisotropy parameters,both dipole and non-dipole. The effect of the fullerenes shell uponphotoelectron from atom A is taken into account substituting the action of thefullerene by two zero-thickness "bubble potential". The fullerenes shellspolarization is included assuming that the radius of the outer shell R2 is muchbigger than the inner R1 and both much exceeds the atomic radius r. Thispermits to express the effect via CN1,N2 polarizabilities, which are connectedto their photoionization cross-sections. The interaction between shells CN1 andCN2 is taken into account in the Random Phase Approximation (RPA). The effectof photoelectron scattering by both "bubble potentials" is included in thelowest order and in the RPA frame. As concrete examples, two endohedralsAr@C60@C240 and Xe@C60@C240 are considered. In the first case we consider 3pand 3s, while in the second 5p, 5s and 4d subshells. A whole variety of newpeculiarities are found that deserve experimental verification.

Photoionization of atoms stuffed inside a two-shell fullerene