Title :
Further progress in the coordinate equations theory
Author_Institution :
Dept. of Phys., Moscow State Univ., Russia
Abstract :
A new method is proposed for solving diffraction problems having piecewise linear ideal boundaries. According to this method, die initial Helmholtz equation is replaced by a system of matrix equations of order 1. The coefficients of these equations are rational matrix functions of the coordinates. The properties of the coordinate matrix system are close to that of the ordinary differential equation, therefore the new method can be treated as a generalization of the separation of variables.
Keywords :
electromagnetic wave diffraction; matrix algebra; piecewise linear techniques; coordinate equations theory; coordinate matrix system; diffraction problems; initial Helmholtz equation; matrix equations; piecewise linear ideal boundaries; rational matrix functions; separation of variables; Boundary conditions; Differential equations; Diffraction; Fourier series; Geometry; Partial differential equations; Physics; Piecewise linear techniques;
Conference_Titel :
Day on Diffraction, 2002. Proceedings. International Seminar
Print_ISBN :
5-7997-0469-X
DOI :
10.1109/DD.2002.1177899
