Rigorous Finite-Difference Analysis of Coupled Channel Waveguides with Arbitrarily Varying Index Profile

Journal of Lightwave Technology

Volumn 9, Issue 10, 1991, Pages 1244-1253

  Schulz, Norbert ^a   Bierwirth, Karlheinz ^a   Arndt, Fritz ^a   Köster, Uwe ^a  

^a UNIVERSITY OF BREMEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MAGNETIC FIELDS; MATHEMATICAL TECHNIQUES--EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL TECHNIQUES--FINITE DIFFERENCE METHOD;

ARBITRARILY VARYING INDEX PROFILE; COUPLED DIFFUSED DIELECTRIC CHANNEL WAVEGUIDES; HYBRID MODE ANALYSIS; MODE CONVERSION EFFECTS; NONPHYSICAL SPURIOUS MODES;

WAVEGUIDES, DIELECTRIC;

EID: 0026237370     PISSN: 07338724     EISSN: 15582213     Source Type: Journal    
DOI: 10.1109/50.90922     Document Type: Article

References (28)

1. E. Goell, “A circular-harmonic computer analysis of rectangular dielectric waveguides,” Bell. Syst. Tech. J., vol. 48, pp. 2133–2160, Sept. 1969.
2. H. Kogelnik, “An introduction to integral optics,” IEEE Trans. Microwave Theory Tech., vol. MTT-23, pp. 2–15, June 1975.
3. B. M. A. Rahman and J. B. Davies, “Finite-element analysis of optical and microwave waveguide problems,” IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 20–28, Jan. 1984.
4. B. M. A. Rahman and J. B. Davies, “Penalty function improvement of waveguide solution by finite elements,” IEEE Trans. Microwave Theory Tech., vol. MTT-32, pp. 922–928, Aug. 1984.
5. B. M. A. Rahman and J. B. Davies, “Finite-element solution of integrated optical waveguides,” J. Lightwave Technol., vol. LT-2, pp. 682–687, Oct. 1984.
6. C. Yeh, K. Ha, S. B. Dong, and W. P. Brown, “Singlemode optical waveguides,” Appl. Opt., vol. 18, no. 10, pp. 1490–1504, 1979.
7. K. Bierwirth, N. Schulz, and F. Arndt, “Finite-difference analysis of rectangular dielectric waveguide structures,” IEEE Trans. Microwave Theory Tech., vol. 34, pp. 1104–1114, Nov. 1986.
8. R. K. Lagu and R. V. Ramaswamy, “A variational finite-difference method for analyzing channel waveguides with arbitrary index profiles,” IEEE J. Quantum Electron., vol. QE-22, pp. 968–978, June 1986.
9. M.J. Adams, An Introduction to Optical Waveguides. Chichester: Wiley, 1981.
10. J. C. Baumert and J. A. Hofnagle, “Numerical method for the calculation of mode fields and propagation constants in optical waveguides,” J. Lightwave Technol., vol. LT-4, pp. 1626–1630, Nov. 1986.
11. S. M. Saad, “Review of numerical methods for the analysis of arbitrarily-shaped microwave and optical dielectric waveguides,” IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 894–899, Oct. 1985.
12. C. M. Kim, B. G. Jung, and C. W. Lee, “Analysis of dielectric-rectangular waveguide by modified effective-index-method,” Electron. Lett., vol. 22, pp. 296–297, Mar. 1986.
13. N. Schulz, K. Bierwirth, and F. Arndt, “Finite-difference analysis of integrated optical waveguides without spurious solutions,” Electron. Lett., vol. 22, pp. 963–965, Aug. 1986.
14. C. Yeh and F. Manshadi, “On weakly guiding Singlemode optical waveguides,” J. Lightwave Technol., vol. LT-3, p. 199-205, Feb. 1985.
15. Ch. Pichot, “Exact numerical solution for the diffused channel waveguides,” Opt. Commun., vol. 47, pp. 169–173, 1982.
16. J. B. Davies and C. A. Muilwyk, “Numerical solution of uniform hollow waveguides of arbitrary shape,” in Proc. Inst. Elec. Eng., vol. 113, pp. 277–284, Feb. 1966.
17. B. S. Garbow, J. M. Boyle, J. J. Dougarra, and C. B. Moler, “Matrix eigensystem routines—EISPACK guide extension,” in Lecture Notes in Computer Science, vol. 51. Heidelberg: Springer-Verlag, 1977.
18. J. Strube and F. Arndt, “Rigorous hybrid-mode analysis of the transition for rectangular waveguide to shielded dielectric image guide,” IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 391–401, May 1985.
19. H. G. Unger, Optische Nachrichtentechnik. Heidelberg: Hüthig-Verlag, 1984.
20. A. A. Oliner, S.-T. Peng, T. I. Hsu, and A. Sanchez, “Guidance and leakage properties of a class of open dielectric waveguides: Part 11— New physical effects,” IEEE Trans. Microwave Theory Tech., vol. MTT-29, pp. 855–869, Sept. 1981.
21. A. Hardy and W. Streifer, “Coupled mode theory of parallel waveguides,” J. Lightwave Technol., vol. LT-3, pp. 1135–1146, Oct. 1985.
22. H. A. Haus, W. P. Huong, S. Kawakami, and N. A. Whitaker, “Coupled mode theory of optical waveguides,” J. Lightwave Technol., vol. LT-5, pp. 16–23, Jan. 1987.
23. N. H. G. Baken, M. B. J. Diemeer, J. M. van Splunter. and H. Blok, “Computational modeling of diffused channel waveguides using a domain integral equation,” J. Lightwave Technol., vol. 8, pp. 576–586, Apr. 1990.
24. L. Thylen, “Integrated optics in LiNbO3: Recent developments in devices for telecommunications,” J. Lightwave Technol., vol. 6, pp. 847–861, June 1988.
25. R. T. Hawkins II and J. H. Goll, “Method for calculating coupling length of Ti: LiNbO3 waveguide directional couplers,” J. Lightwave Technol., vol. 6, pp. 887–891, June 1988.
26. F. Rottmann, A. Neyer, W. Mevenkamp, and E. Voges, “Integrated-optic wavelength multiplexers on lithium niobate based on two-mode interference,” J. Lightwave Technol., vol. 6, pp. 946–952, June 1988.
27. E. Strake, G. P. Bava, and I. Montrosset, “Guided modes of Ti: LiNbO, channel waveguides: A novel quasi-analytical technique in comparison with the scalar finite-element method,” J. Lightwave Technol., vol. 6, pp. 1126–1135, June 1988.
28. P. J. Clarricoats and K. R. Slinn, “Complex modes of propagation in dielectric loaded circular waveguide,” Electron. Lett., vol. 1, pp. 145–146, 1965.