2010-07-13
Full-Wave Analysis of Dielectric Rectangular Waveguides
By
Progress In Electromagnetics Research M, Vol. 13, 121-131, 2010
Abstract
In this paper the characteristic equations of the Eymn and Exmn modes of the dielectric rectangular waveguide have been derived using the mode matching technique. No assumptions have been taken in the derivations which have been straight forwardly done. Two ratios have been introduced in the characteristic equations and the new set of characteristic equations thus obtained are then plotted and graphical solutions are obtained for the propagation parameters assuming certain numerical values for the introduced ratios. The results have then been compared to those obtained by Marcatilli and Goell for rectangular dielectric waveguides. The comparisons depict a good agreement in the three methods at frequencies well above cut-off.
Citation
Jigyasa Sharma, and Asok De, "Full-Wave Analysis of Dielectric Rectangular Waveguides," Progress In Electromagnetics Research M, Vol. 13, 121-131, 2010.
doi:10.2528/PIERM10051802
References

1. Marcatili, E. A. J., "Dielectric rectangular waveguide and directional couplers for integrated optics," Bell Syst. Tech. J., Vol. 48, 2071, 1969.        Google Scholar

2. Goell, J. E., "A circular-harmonic computer analysis of rectangular dielectric waveguides," Bell Syst. Tech. J., Vol. 48, 2133, 1969.        Google Scholar

3. Schlosser, W. and H. G. Unger, Advances in Microwaves, Academic Press, New York, 1966.

4. Eyges, L., P. Gianino, and P. Wintersteiner, "Modes of dielectric waveguides of arbitrary cross sectional shapes," J. Opt. Soc. Am., Vol. 69, 1226, 1979.
doi:10.1364/JOSA.69.001226        Google Scholar

5. Shaw, C. B., B. T. French, and C.Warner III, "Further research on optical transmission lines," Sci. Rep. No. 2, Automatics' Report No. C7-929/501, Air Force Contract AF449(638)-1504 AD625 501.        Google Scholar

6. Solbach, K. and I. Wolf, "The electromagnetic fields and the phase constants of dielectric image lines," IEEE Trans. Microwave Theory Tech., Vol. 26, 26-274, 1978.        Google Scholar

7. Eyges, I., P. Gianino, and P. Wintersteiner, "Modes of dielectric waveguides of arbitrary cross sectional shape," J. Opt. Soc. Amer., Vol. 69, 1226-1235, 1979.
doi:10.1364/JOSA.69.001226        Google Scholar

8. Ogusu, K., "Numerical analysis of the rectangular dielectric waveguide and its modification ," IEEE Trans., Vol. 25, 874-885, 1977.        Google Scholar

9. Mabaya, N., P. E. Lagasse, and P. Vandenbulcke, "Finite element analysis of optical waveguides," IEEE Trans., Vol. 29, 6ML605, 1981.        Google Scholar

10. Rahman, B. M. A. and J. B. Davies, "Finite element analysis of optical and microwave waveguide problems," IEEE Trans., Vol. 32, 2-28, 1984.
doi:10.1109/TCOM.1984.1095951        Google Scholar

11. Hayata, K., M. Koshiba, M. Eguch, and M. Suzuki, "Novel finite element formulation without any spurious solutions for dielectric waveguides," Electron. Lett., Vol. 22, 295-296, 1986.
doi:10.1049/el:19860201        Google Scholar

12. Borgnis, F. E. and C. H. Papas, Handbuch der Physik, Vol. 16, Springer, Berlin, Heidelberg, New York, 1958.

13. Maxwell, J. C., A Treatise on Electricity and Magnetism, Dover, New York, 1954.

14. Sabetfakhri, K. and L. P. B. Katehi, "An integral transform technique for analysis of planar dielectric structures," IEEE Trans. Microwave Theory Tech., Vol. 42, 1052-1062, 1994.
doi:10.1109/22.293576        Google Scholar

15. Athanasoulias, G. and N. K. Uzunoglu, "An accurate and efficient entire-domain basis Galerkin's method for the integral equation analysis of integrated rectangular dielectric waveguides," IEEE Trans. Microwave Theory Tech., Vol. 43, 2794-2804, 1995.
doi:10.1109/22.475637        Google Scholar

16. Kolk, E. W., N. H. G. Baken, and H. Blok, "Domain integral equation analysis of integrated optical channel and ridged waveguides in stratified media," J. Lightwave Technol., Vol. 38, 78-85, 1990.        Google Scholar

17. Peng, S. T., T. Tamir, and H. L. Bertoni, "Theory of periodic dielectric waveguides," IEEE Trans. Microware Theory Tech., Vol. 23, 123-133, Jan. 1975.
doi:10.1109/TMTT.1975.1128513        Google Scholar

18. Mittra, R. J., Y.-L. Hou, and V. Jamnejad, "Analysis of opendielectric waveguide using mode-matching technique and variational methods," IEEE Trans. Microwawave Theory Tech., Vol. 28, 36-43, Jan. 1980.
doi:10.1109/TMTT.1980.1130003        Google Scholar

19. Solbach, K. and I.Wolff, "The electromagnetic fields and thephase constants of dielectric image lines," IEEE Trans. Microwave Theory Tech., Vol. 26, 266-274, Apr. 1978.
doi:10.1109/TMTT.1978.1129363        Google Scholar

20. Young, B. and T. Itoh, "Analysis and design of microslab waveguide," IEEE Trans. Microwave Theory Tech., Vol. 35, 850-856, Sept. 1987.
doi:10.1109/TMTT.1987.1133762        Google Scholar

21. Yeh, C. and F. Shimabukuro, "The Essence of Dielectric Waveguides," Springer, 2008.        Google Scholar

22. Harrington, R. F., Time Harmonic Electromagnetic Fields, Mc-Hill Book Company, NY, 1961.

23. Adams, M. J., Introduction to Optical Waveguides, Wiley, New York 1981.