An analytical solution to the light scattering from cube-like particles using Sh-matrices

The derivation of the Sh-matrices using the T-matrix method allows the shape-dependent parameters to be separated from size- and refractive-index-dependent parameters. This separation also allows for the surface integrals to be solved analytically for many particle morphologies. In this manuscript we provide analytical expressions for the Sh-matrices that contain the shape information for cube-like particles. Resulting analytical expression for the T-matrix elements can be found directly from these expressions. We verify the results by comparing the light-scattering obtained using the method of Sh-matrices with that using the discrete dipole approximation (DDA).