Abstract
This chapter presents variants of Discrete Sources Method (DSM) for numerical solution of electromagnetic scattering problems of three dimensional nonaxisymmetrical bodies of different physical nature. The main ideas of the developed variants are—the auxiliary surfaces are chosen as homothetic to the surface of a scatterer; elementary electric dipoles tangentially oriented to the auxiliary surfaces as discrete sources are chosen, and a linear algebraic equations system of the collocation method is solved via minimization of the residual functional by the conjugate gradient method. The tangentially oriented elementary magnetic dipoles (or combinations of tangentially oriented electric and magnetic dipoles) can be used as discrete sources, and for minimization of residual function any other iterative method may be used. Rigorous mathematical formulations of the variants of DSM for perfectly conducting, impedance, magneto-dielectric, chiral, and coated scatterers are given. This chapter also describes some results concerning the particularities of the conjugate gradient iterative process and of the influence of the auxiliary surface positions on solution accuracy.
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