  We extend the T-matrix approach to light scattering by spherical particles to
some simple cases in which the scatterers are optically anisotropic.
Specifically we consider cases in which the spherical particles include
radially and uniformly anisotropic layers. We find that in both cases the
T-matrix theory can be formulated using a modified T-matrix ansatz with
suitably defined modes. In a uniformly anisotropic medium we derive these modes
by relating the wave packet representation and expansions of electromagnetic
field over spherical harmonics. The resulting wave functions are deformed
spherical harmonics that represent solutions of the Maxwell equations. We use
these modes to express the equations for the T-matrix elements in terms of
computationally tractable coefficient functions.
