T- and D-matrix methods for electromagnetic scattering by impedance obstacles Original Research Article

The T-matrix method and a new projection method for the impedance boundary value problem in electromagnetic scattering theory are presented. The new method is called the D-matrix method since the matrix of the linear system of equations is dissipative. The dissipativity is established as a consequence of the conservation law of energy. The convergence and solvability of the linear system of equations appearing in the D-matrix method is validated. Numerical experiments are performed for analyzing the rate of convergence of both methods. The numerical analysis indicates that the T-matrix method still stands tall among alternatives approaches.