[3] In the method, matrix elements are obtained by matching boundary conditions for solutions of Maxwell equations.
It has been greatly extended to incorporate diverse types of linear media occupying the region enclosing the scatterer.
[4] T-matrix method proves to be highly efficient and has been widely used in computing electromagnetic scattering of single and compound particles.
The standard way to calculate the T-matrix is the null-field method, which relies on the Stratton–Chu equations.
By making use of the boundary conditions for the tangential field components on the scatterer surface, and where
By expanding the internal field in terms of SVWFs and exploiting their orthogonality on spherical surfaces, one arrives at an expression for the T-matrix.
[3][10] It is more powerful than EBCM as it is more efficient and increases the upper limit of particle size during the computation.