Sparse matrix eigenvalue solver for finite element solution of dielectric waveguides

Electronics Letters

Volumn 27, Issue 20, 1991, Pages 1824-1826

  Fernandez, F A ^a   Davies, J B ^a   Zhu, S ^a   Lu, Y ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Dielectric waveguides; Mathematical techniques; Matrix algegra; Waveguides

Indexed keywords

MATHEMATICAL TECHNIQUES--MATRIX ALGEBRA;

EIGENVECTORS; NON-HERMITIAN MATRICES; SPARSE MATRICES;

WAVEGUIDES, DIELECTRIC;

EID: 0026218713     PISSN: 00135194     EISSN: None     Source Type: Journal    
DOI: 10.1049/el:19911133     Document Type: Article

References (12)

1. Fernandez, F. A., and Lu, Y.: ‘Variational finite element analysis of dielectric waveguides with no spurious solutions’, Electron. Lett., 1990, 26, pp. 2125–2126
2. Fernandez, F. A., and Lu, Y.: ‘A variational finite element formulation for dielectric waveguides in terms of transverse magnetic fields’, to be published in IEEE Trans. Magnetics, 1991
3. Chew, W.C., and Nasir, M. A.: ‘A variational analysis of anisotropic, inhomogeneous dielectric waveguides’, IEEE Trans., 1989, MTT-37, pp. 661–668
4. Bathe, K. J., and Wilson, E. L.: ‘Numerical methods in finite element analysis’ (Prentice-Hall, New Jersey, 1976)
5. Clint, M., and Jennings, A.: ‘A simultaneous iteration method for the unsymmetric eigenvalue problem’, J. Inst. Math. & Appl., 1971, 8, pp. 111–121
6. Jennings, A., and Stewart, W. J.: ‘Simultaneous iteration for partial eigensolution of real matrices’, J. Inst. Math. & Appl., 1975, 15, pp. 351–361
7. Dong, S. B.: ‘A block-Stodola eigensolution technique for large algebraic systems with non-symmetrical matrices’, Int. J. Numer. Method Eng., 1977, 11, pp. 247–267
8. Davies, I.B., Fernandez, F. A., and Philippou, G.: ‘Finite element analysis of all modes in cavities with circular symmetry’, IEEE Trans., 1982, MTT-30, pp. 1975–1980
9. Rahman, B. M. A., and Davies, J. B.: ‘Finite-element analysis of optical and microwave waveguide problems’, IEEE Trans., 1984, MTT-32, pp. 20–28
10. Ettinger, R. D., Fernandez, F. A., Rahman, B. M. A., and Davies, J. B.: ‘Vectqr finite element solution of saturable nonlinear strip-loaded optical waveguides’, IEEE Photonics Technol. Lett., 1991, 3, pp. 147–149
11. Duff, I. S.: ‘ME28: A sparse unsymmetric linear equation solver for complex equations’, ACM Trans. Math. Software, 1981, 7, pp. 505–511
12. Strube, J., and Arndt, F.: ‘Rigorous hybrid-mode analysis of the transition from rectangular waveguide to shielded dielectric image guide’, IEEE Trans., May 1985, MTT-33, pp. 391–401