A novel semi-analytic method for 3D scattering problems

The method for the solution of scattering problems with homogeneous dielectric scatterers immersed in uniform dielectric media based on a single coordinate multipole expansion and the Stratton-Chu integral is proposed in the present talk. Its convergence is proved. The sources of ill-conditionality of the constitutive algebraic system are established. The method of its regularization based on the use of stabilization terms is suggested. The method of iterative accumulation of errors has been found to generate regularization factors. Additionally, the method of discrete drains is being proposed, as a method for checking the accuracy of the multipole approximation. For the sake of validation, the numerical analysis is performed for different testing objects.