Title :
A 2.5-D scalar Helmholtz wave solution employing the spectral Lanczos decomposition method (SLDM)
Author :
Weedon, W.H. ; Chew, W.C. ; Lin, J.-H. ; Sezginer, A. ; Druskin, V.L.
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
fDate :
June 28 1993-July 2 1993
Abstract :
It is demonstrated that the SLDM may be used to solve the 2.5-D scalar Helmholtz equation efficiently in O(N/sup 1.5/) operations with a high degree of accuracy. The Lanczos method is used to build discrete orthogonal polynomials that approximate the solution to the scalar Helmholtz wave equation. The advantage to using the SLDM for the 2.5-D problem is that only the 2-D solution needs to be computed numerically, while the z-variation may be computed analytically. The particular numerical example considered consists of the computation of the point source response in a rectangular waveguide with a Dirichlet boundary condition.<>
Keywords :
Helmholtz equations; boundary-value problems; matrix decomposition; polynomials; rectangular waveguides; sparse matrices; 2-D solution; Dirichlet boundary condition; accuracy; discrete orthogonal polynomials; point source response; rectangular waveguide; scalar Helmholtz equation; spectral Lanczos decomposition method; z-variation; Computational complexity; Convergence of numerical methods; Eigenvalues and eigenfunctions; Matrix decomposition; Military computing; Nonuniform electric fields; Partial differential equations; Sparse matrices; Symmetric matrices; Transmission line matrix methods;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1993. AP-S. Digest
Conference_Location :
Ann Arbor, MI, USA
Print_ISBN :
0-7803-1246-5
DOI :
10.1109/APS.1993.385404
