Light scattering calculations for multilayered spheroids using spheroidal bases

Solving the light scattering problem for axisymmetric particles with a mid-plane symmetry, e.g., spheroids, by the exact methods (SVM, EBCM, etc.), leads to linear systems with half matrix elements equal to zero. We suggest an approach that allows one to reduce such a system to two smaller ones, which significantly speeds up the calculations. We apply the approach to the recently derived solution to the problem for layered spheroids with non-confocal internal boundaries.