Title :
A staircase-approximation time-domain matrix integral equation approach to the computation of one-dimensional transient propagation through an inhomogeneous slab
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Abstract :
A novel method, based on the staircase-approximation time-domain matrix integral equation (SATDMIE), is proposed to solve 1D transient propagation through an inhomogeneous slab. A numerical scheme is developed to compute the transient response iteratively. This scheme only needs to factorize a K by K matrix once, and requires O(NK/sup 2/) storage and matrix element computations. Here N and K are the number of time steps and spatial divisions, respectively. The whole theory framework is quite general. It can be extended to solve 3D problems like the transient radiation and scattering of wire antennas.
Keywords :
electromagnetic wave propagation; inhomogeneous media; integral equations; iterative methods; matrix decomposition; transient response; 1D transient propagation; SATDMIE; inhomogeneous slab; iterative transient response computation; matrix factorization; staircase-approximation integral equation; time-domain matrix integral equation; wire antenna scattering; wire antenna transient radiation; Electromagnetic scattering; Electromagnetic transients; Green´s function methods; Integral equations; Power system transients; Slabs; Time domain analysis; Transient response; Transmission line matrix methods; Wire;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2003. IEEE
Conference_Location :
Columbus, OH, USA
Print_ISBN :
0-7803-7846-6
DOI :
10.1109/APS.2003.1219914
