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Finite-Difference solution of inhomogeneous waveguide modes using a fast direct solver routine

Davies, JB; Fernandez, FA; Fang, Y; (1991) Finite-Difference solution of inhomogeneous waveguide modes using a fast direct solver routine. IEEE Transactions on Magnetics , 27 (5) pp. 4028-4031. 10.1109/20.104985.

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Abstract

The objective is a computer program, based on a “fast direct solver”, to solve for the dominant mode in a waveguide of arbitrary refractive index profile within a rectangular box. The 2-dimensional field problem is first reduced to a conventional eigenvalue problem in terms of the transverse magnetic field components. The two coupled scalar equations are solved using the software package “FISHPAK”, which solves a scalar Helmholtz problem using finite differences with an M by N mesh in time proportional to MNlog2N. This “fast solver” is within two iteration loops,- the outer being a “Rayleigh quotient iteration”, the inner solves the two coupled equations. Results emerge typically in between 2 and 30 total calls of FISHPAK. © 1991 IEEE

Type: Article
Title: Finite-Difference solution of inhomogeneous waveguide modes using a fast direct solver routine
DOI: 10.1109/20.104985
UCL classification: UCL > School of BEAMS > Faculty of Engineering Science
UCL > School of BEAMS > Faculty of Engineering Science > Electronic and Electrical Engineering
URI: http://discovery.ucl.ac.uk/id/eprint/74734
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