J. Rodríguez, S. Fernández, M. García, D. Pozo


The scattering properties of discontinuities between dielectric waveguides are obtained by using a new generalized scattering matrix concept, together with the generalized telegraphist equations formulism and the modal matching technique. The cross sections of the inhomogeneous dielectric waveguides are simulated by means of a grid of rectangular pixels enclosed by perfectly conducting boundaries. Consequently, there is not restriction in the cross section shape of the dielectrics as well as in the refractive index profile functions of the waveguides. Modal propagation characteristics, radiation losses and complex scattering coefficients between proper modes can be obtained for monomode and multimode dielectric waveguides connected in cascade. Single and multiple discontinuities in cylindrical and rectangular dielectric waveguides, as well as in planar and channel optical waveguides, were analyzed. Numerical and experimental results of the complex scattering coefficients were obtained at microwave frequencies for coupled cylindrical dielectrics posts, a dielectric transition as well as for cylindrical dielectric waveguides connected abruptly and gradually. In all cases the agreement was excellent. Photonic band gaps, photonic windows and optical switching properties were obtained for periodic structures at optical frequencies. The possibilities of the method for analyzing microwave devices, waveguide photonic crystals as well as optical devices in dielectric periodic structures are demonstrated.

Full Text:



Rodríguez, J. and Prieto, A.: ''Wide-Band Directional Couplers in Dielectric Waveguide'', IEEE, Vol. MTT-35, No. 8, pp. 681-687, August 1987.

Solano, M.A., Prieto, A. and Rodríguez, J.: ''Reduction of Losses in Dielectric Waveguide YJunctions with Wide Aperture Angles'', Int. Journal of Electronics, Vol. 63, No. 5, pp. 741-749, November 1987.

Strube, J. and Arndt, F.: ''Rigorous Hibrid-Mode Analkysis of the Transition from Rectangular Waveguide to Shielded Dielectric Image Guide'',IEEE, Vol. MTT-33, No. 5, pp. 391-401, May 1985.

Malherbe, J.A.G., Cloete, J.H. and Lösch, J.E.: ''A Transition from Rectangular to Nonradiating Dielectric Waveguide'', IEEE, Vol. MTT-33, No. 6, pp. 539-543, June 1985.

Christ, A. and Hartnagel, H.L.: ''Three-Dimensional Finite Diference Method for the Analysis of Microwave Device Embedding'', IEEE, Vol. MTT-35, No. 8, pp. 688-696, August 1987.

Katzier, H.: ''Streuverhalten Elektromagnetischer Wellen bei Sprunghaften Ãœbergängen Geschirmter Dielektrischer Leitungen'' AEÃœ-38, No. 5, pp. 290-296, 1984.

Chung-I G. Hsu and Hesham A. Auda: ''Multiple Dielectric Post in a Rectangular Waveguide'', IEEE, Vol. MTT-34, No. 8, pp. 883-891, August 1986.

Leviatan, Y. and Sheaffer, Gad S.: ''Analysis of Inductive Dielectric Posts in Rectangular Waveguide'', IEEE, Vol. MTT-35, No. 1, pp. 48-59, January 1987.

Ortega, D., De La Rue, R. M. and Aitchison, J. S., ''Cutoff wavelength of periodically segmented waveguide in Ti:LiNbO3'', J. Lightwave Technol., 16(2), 284-290 (1998).

Moreau, Y., Arguel, Ph., Coudray, P., Etienne, P., Porque, J. and Signoret, Ph., ''Direct printing of gratings on sol-gel layers'', Opt. Eng., 37(4), 1130-1135 (1998).

Touam, T., Fardad, M. A., Andrews, M. P. and Najafi, S. I., ''Sol-gel waveguides with bragg grating'', Opt. Eng., 37(4), 1136-1142 (1998).

Foresi, J. S., Villeneuve, P. R., Ferrera, J., Thoen, E. R, Steinmeyer, G., Fan, S., Joannopoulos, J. D., Kimerling, L. C., Smith Henry, I. and Ippen, E. P., ''Photonic-bandgap micro-cavities in optical waveguides'', Nature, 390, 143-145 (1997).

Brooke, G. H. and Kharadly, M. M. Z., ''Step discontinuities on dielectric waveguides'', Electronic Letters, 12 473-475 (1976).

Brooke, G. H. and Kharadly, M. M. Z., ''Scattering by abrupt discontinuities on planar dielectric waveguides'', IEEE Transactions on Microwave Theory and Techniques,} 30, 760-770 (1982).

Koshiba, M., Ooshi, K., Miki, T. and Suzuki, M., ''Finite-element analysis of the discontinuities in a dielectric slab waveguide bounded by parallel plates'', Electronic Letters, 18, 33-34 (1982).

Koshiba, M. and Suzuki, M., ''Boundary-element analysis of dielectric slab waveguide discontinuities'', Applied Optics, 25, 828-829 (1986).

Weisshaar, A. and Tripathi, V. K., ''Modal analysis of step discontinuities in graded-index dielectric slab waveguides'', J. Lightwave Technol, 10(2), 593-602 (1992).

Schmidt, R. and Russer, P. ''Modeling of cascade coplanar waveguide discontinuities by the modematching approach'', IEEE Transactions on Microwave Theory and Techniques, 43(12), 2910-2917 (1995).

Rodríguez, J., Crespo, R. D., Fernández, S., Palacios, S. L. and Virgós, J. M., ''Comments on: verification of generalized telegraphists equations applied to dielectric waveguide problems'', Applied Optics, 33(3), 356-357 (1994).

Wexler, A., ''Solution of waveguide discontinuities by modal analysis'', IEEE Trans. Microwave Theory Tech., 15(9),508-517 (1967).

James, G.L., ''On the problem of applying mode-matching techniques in analyzing conical waveguide discontinuities'', IEEE Trans. Microwave Theory Tech., 31(9), 718-723 (1983).

Marcatili, E. A. J., ''Dielectric rectangular waveguide and directional couplers for integrated optics'', Bell System Technical Journal, 48, 2071-2102 (1969).

Knox, R. M. and Toulios, P. P., ''Rectangular dielectric image lines for millimeter integrated circuits'', Presented at the 1970 Wescon Conference. Los Angeles, August 25-28, (1970).

Knox, R. M. and Toulios, P. P., ''Integrated circuits for the millimeter through optical frequency range'', Presented at the Symposium on Submillimeter Waves, March 31, April 1 and 2, 497-516 1970.

Steinberg, R. A. and Giallorenzi, T. G., ''Modal fields of anisotropic channel waveguides'', J. Opt. Soc. Am.,67(4),523-533 (1977).

Solbach, K. and Wolff, I., ''The electromagnetics fields and phase constants of dielectric image lines'', IEEE Transactions on Microwave Theory and Techniques, 26, 266-274 (1978).

Suhara, T., Handa, Y., Nishihara, J. and Koyama, J., ''Analysis of optical channel waveguides an directional couplers with graded-index profile'', J. Opt. Soc. Am.,6, 807-815 ( 1979).

Strake, E., Bava, G. P. and Montrosset, I., ''Guided modes of Ti:LiNbO3 channel waveguides: a novel quasi-analytical technique in comparison with the scalar finite-element method'' Journ. of Lightwave Technology, 6(6), 1126-1135 (1988).


  • There are currently no refbacks.

© Copyright 2007-2016 JMOe Brazilian Microwave and Optoelectronics Society (SBMO) and Brazilian Society of Electromagnetism (SBMag)