Title :
A novel semi-analytic method for 3D scattering problems
Author :
Serebrennikov, Aleksey M.
Author_Institution :
Ural Branch, Min. Inst., Russian Acad. of Sci., Perm, Russia
Abstract :
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.
Keywords :
approximation theory; convergence of numerical methods; dielectric bodies; electromagnetic wave scattering; iterative methods; 3D scattering problems; Stratton-Chu integral convergence; discrete drains; homogeneous dielectric scatterers; iterative accumulation method; regularization factors; semi-analytic method; single coordinate multipole expansion; uniform dielectric media; Dielectrics; Electromagnetic analysis; Electromagnetic fields; Electromagnetic scattering; Geometry; Integral equations; Iterative methods; Numerical analysis; Performance evaluation; Testing; Electromagnetic scattering; dielectric bodies; dielectric resonators;
Conference_Titel :
Microwaves, Communications, Antennas and Electronics Systems, 2009. COMCAS 2009. IEEE International Conference on
Conference_Location :
Tel Aviv
Print_ISBN :
978-1-4244-3985-0
DOI :
10.1109/COMCAS.2009.5386080
