Electromagnetic wave scattering from cuboid-like particles using Sh-matrices

The Sh-matrix elements derived from the T-matrix technique allow one to separate the shape-dependent parameters from size- and refractive-index-dependent parameters. The separation also allows the corresponding surface integrals to be solved analytically for different particle shapes. In this manuscript we give analytical expressions for the Sh-matrix elements that contain the shape information for cuboid-like particles. We find very good agreement between the results obtained using the Sh-matrix method and those using the discrete-dipole approximation (DDA). The solution gives significant acceleration of calculations dependently on the size parameter of particles.