Skip to main content
Log in

Guidance of Surface Waves with Dielectric Waveguides Having Finite or Infinite Periodic Corrugations

  • Original Article
  • Published:
International Journal of Infrared and Millimeter Waves Aims and scope Submit manuscript

Abstract:

A planar open dielectric waveguide with periodic rectangular corrugations is investigated in the case that surface wave is guided and propagates normally to the corrugation. Our approximate analysis with the propagation characteristics is to consider a corresponding bounded waveguide problem in which perfect electric or magnetic walls are introduced, and the periodic corrugation is regarded as consisting of step discontinuities connected by a length of uniform slab waveguide. By properly taking into account of both surface modes and only a few non-surface-modes, and using conservation of complex power technique (CCPT) as well as solution selection rule (SSR), we can readily derive propagation characteristics in the Bragg interaction region. The calculated results show an excellent agreement with previously published ones.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. [1] Elachi, “Waves in active and passive periodic structure: A review,” Proc. IEEE, vol. 64, pp. 1666–1698, 1976.

    Google Scholar 

  2. [2] S. T. Peng, T. Tamir, and H. L. Bertoni, “Theory of periodic dielectric waveguides,” IEEE Trans. Microwave Theory Tech., vol. MTT-23, pp. 123–133, 1975.

    Article  Google Scholar 

  3. [3] T. Tamir, and S. Zhang, “Modal transmission-line theory of multilayered grating structures,” J. Lightwave Technol., vol.14, pp. 914–927, 1996.

    Article  Google Scholar 

  4. [4] H. Stoll, and A. Yariv, “Coupled-mode analysis of periodic dielectric waveguides,” Opt. Commun., vol. 5, pp. 325–328, 1975.

    Google Scholar 

  5. [5] K. Handa, S. T. Peng, T. Tamir, “Improved perturbation analysis of dielectric gratings,” Appl. Phys., vol. 5, pp. 325–328, 1975.

    Article  Google Scholar 

  6. [6] S. Zhang, and T. Tamir, “Analysis and design of broadband grating couplers,” IEEE J. Quantum Electron., vol. 26, pp. 2813–2824, 1993.

    Article  Google Scholar 

  7. [7] T. E. Rozzi, “Rigorous analysis of the step discontinuity in a planar dielectric waveguides,” IEEE Trans. Microwave Theory Tech., vol. MTT-26, pp. 738–746, Oct. 1978.

    Google Scholar 

  8. [8] T. E. Rozzi and G. H. In'tveld, “Field and network analysis of interacting step discontinuities in planar dielectric waveguides,” IEEE Trans. Microwave Theory Tech., vol. MTT-27, pp. 303–309, Apr. 1979.

    Article  Google Scholar 

  9. [9] G. H. Brooke and M. M. Z. Kharadly, “Scattering by abrupt discontinuities on planar dielectric waveguides,” IEEE Trans. Microwave Theory Tech., vol. MTT-30, pp. 760–770, 1982.

    Article  Google Scholar 

  10. [10] H. Shigesawa, and M. Tsuji, “A new equivalent network method for analyzing discontinuity prosperities for open dielectric waveguides,” IEEE Trans. Microwave Theory Tech., vol. MTT-37, pp. 3–14, Jan. 1989.

    Article  Google Scholar 

  11. [11] R. Safavi-Naini and R. H. MacPhic, “On solving waveguide junction scattering problem by the conservation of complex power technique,” IEEE Trans. Microwave Theory Tech., vol. MTT-29, pp. 337–343, Apr. 1981.

    Article  Google Scholar 

  12. [12] ———, “Scattering at rectangular-to-rectangular waveguide junctions,” IEEE Trans. Microwave Theory Tech., vol. MTT-30, pp. 2060–2063, Nov. 1982.

    Google Scholar 

  13. [13] S. T. Peng and A. A. Oliner, “Guidance and leakage properties of a class of open dielectric waveguides: Part 1 — Mathematical formulations,” IEEE Trans. Microwave Theory Tech., vol. MTT-29, pp. 843–855, Sept. 1981.

    Google Scholar 

  14. [14] M. Tsuji, S. Matsumoto, H. Shigesawa, and K. Takiyama, “Guided-wave experiments with dielectric waveguides having finite periodic corrugation”, IEEE Trans. Microwave Theory Tech., vol. MTT-31, pp. 337–343, Apr. 1981.

    Google Scholar 

  15. [15] S. T. Peng, J. M. Dong, and L. M. Wang, “Wave interaction in doubly periodic structure”, in 1985 IEEE MTT-S Microwave Symp. Dig., June 1985, 131–134.

    Google Scholar 

  16. [16] R. E. Collin, Field Theory of Guided Waves. New York: McGraw-Hill, 1960, ch.8.

    Google Scholar 

  17. [17] D. Marcuse, Light Transmission Optics, 2nd ed. New York: Van Nostrand Reinhold, 1982, ch.8.

    Google Scholar 

  18. [18] T. Tamir, “Beam and waveguide couplers,” in Integrated Optics, T. Tamir, Ed. 2, New York: Springer-Verlag, pp. 83–137, 1985.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Huikan, L., Tianlin, D. Guidance of Surface Waves with Dielectric Waveguides Having Finite or Infinite Periodic Corrugations. Int J Infrared Milli Waves 26, 1389–1406 (2005). https://doi.org/10.1007/s10762-005-8437-0

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10762-005-8437-0

Keyword:

Navigation