Title :
New aspects of the method of lines
Author :
Dreher, Achim ; Rother, Tom
Author_Institution :
Fachbereich Elektrotechnik, Fern Univ., Hagen, Germany
fDate :
11/1/1995 12:00:00 AM
Abstract :
A re-examination of the fundamentals of the method of lines (MoL) shows its close relation to the mode-matching technique, on which it is merely a variant with further approximations. It is obvious that the discretization of the differential operators should be avoided, because it has no advantage, and in fact only leads, to additional errors. This effect is demonstrated for a partially filled waveguide
Keywords :
boundary-value problems; eigenvalues and eigenfunctions; electromagnetic fields; waveguide theory; differential operators; discretization; eigenvalues; field quantities; method of lines; partially filled waveguide; waveguide structures; Boundary conditions; Boundary value problems; Differential equations; Eigenvalues and eigenfunctions; Fourier series; Microwave theory and techniques; Optical scattering; Optical waveguides; Partial differential equations; Transmission line matrix methods;
Journal_Title :
Microwave and Guided Wave Letters, IEEE