Title :
An efficient numerical procedure using the shifted power method for analyzing dielectric waveguides without inverting matrices
Author_Institution :
Dept. of Electr. Eng., Nat. Tsinghua Univ., Hsinchu, Taiwan
fDate :
3/1/1993 12:00:00 AM
Abstract :
A numerical procedure using the finite-difference scheme and the shifted power method is used to analyze the propagation characteristics of dielectric waveguides. The unique feature of this procedure is that in determining the eigenvalues corresponding to dominant modes, no operation as costly as matrix inversion, such as Gaussian elimination, LU decomposition, or tridiagonalization, is invoked. Thus the proposed procedure is rather efficient in both memory space and computer time. Numerical results for a circular step-index fiber are presented for comparison. Due to its efficiency, the proposed procedure is capable of analyzing coupled waveguides
Keywords :
dielectric waveguides; finite difference methods; optical waveguide theory; waveguide theory; circular step-index fiber; coupled waveguides; dielectric waveguides; finite-difference scheme; numerical procedure; optical fibres; propagation characteristics; shifted power method; Dielectrics; Eigenvalues and eigenfunctions; Electromagnetic waveguides; Finite difference methods; Matrix decomposition; Microwave propagation; Microwave theory and techniques; Propagation constant; Symmetric matrices; Transmission line matrix methods;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
