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A Finite Difference Frequency Domain Study of Curvature Lifted Modes DegenerationChristos S. Lavranos and George A. Kyriacou doi:10.2529/PIERS070220133317 Downloads: 1173 Abstract:The curvature induced degenerated modes separation in curved waveguides is studied in this paper. The analysis of curved waveguides is performed by using a two dimensional (2-D) Finite Difference Frequency Domain (FDFD) eigenvalue method employing orthogonal curvilinear coordinates. The eigenvalues frequency spectrum (propagation constants dispersion curves) of curved circular waveguides is considered. Curvature lifted modes degeneration is observed in these numerical results. The accuracy of the method is examined through comparisons with already published results.References:1. Lewin, L., D. C. Chang, and E. F. Kuester Electromagnetic Waves And Curved Structures, Peregrinus, London, U.K., 1977. 2. Fang, X.-S. and Z.-Q. Lin, "Birefringence in curved single-mode optical fibers due to waveguide," Journal of Lightwave Technology, Vol. LT-3, No. 3, 789-794, June, 1985. 3. Melloni, A., F. Carniel, R. Costa, and M. Martinelli "Determination of bend mode characteristics in dielectric waveguides," Journal of Lightwave Technology, Vol. 19, No. 4, 571-577, April, 2001. 4. Yoneyama, T., M. Yamaguchi, and S. Nishida "Bends in nonradiative dielectric waveguides," IEEE Trans. Microwave Theory Tech., Vol. MTT-30, No. 12, 2146-2150, Dec., 1982. 5. Marais, N. and D. B. Davidson, "Numerical evaluation of hierarchical vector finite elements on curvilinear domains in 2-D," IEEE Trans. Antennas Propagation, Vol. 54, No. 2, 734-738, Feb., 2006. 6. Blas, A. A. S., B. Gimeno, V. E. Boria, H. Esteban, S. Cogollos, and A. Coves "A rigorous and efficient full-wave analysis of uniform bends in rectangular waveguide under arbitrary incidence," IEEE Trans. Microwave Theory Tech., Vol. 51, No. 2, 397-405, Feb., 2003. 7. Lavranos, C. S. and G. A. Kyriacou, "Eigenvalue analysis of curved open waveguides using a finite difference frequency domain method employing orthogonal curvilinear coordinates," PIERS Online, Vol. 1, Chap. 3, 2005. 8. Lavranos, C. S. and G. A. Kyriacou, "Eigenvalue analysis of curved waveguides employing FDFD method in orthogonal curvilinear co-ordinates," IEE Electronic Lett., Vol. 42, No. 12, 702-704, June, 2006. 9. Lewin, L., "A decoupled formulation of the vector wave equations in orthogonal Curvilinear Coordinates, with application to ferrite-filled and curved waveguide of general cross section," IEEE Trans. Microwave Theory Tech., Vol. MTT-20, 338-342, May, 1972. 10. Yee, K. S., "Numerical solution of initial boundary value problems involving Maxwell's equation in isotropic media," IEEE Trans. Antennas Propagation, Vol. AP-14, 302-307, May, 1966. 11. Sorensen, D. C., "Implicit application of polynomial filters in a K-step Arlondi method," SIAM J. Matrix Analysis and Applications, Vol. 13, No. 1, 357-385, Jan., 1992. |
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