Skip to main content
Log in

Effective medium characterization of partially-filled rectangular waveguides

  • Letters
  • Published:
Journal of the Korean Physical Society Aims and scope Submit manuscript

Abstract

A single-mode waveguide, partially filled with dielectric materials, is an important case of a metamaterial. Here, we report an effective medium characterization of partially-filled waveguides by using the image dipole method and obtain an explicit expression for the effective permittivity. We also confirm experimentally that an electromagnetic wave propagating through a partially-filled waveguides has the same reflection and transmission characteristics as a wave propagating through a medium possessing an effective permittivity. In particular, we apply our method to the quarterwave anti-reflection structure and show that our method is suitable for designing wave-filter devices inside a rectangular waveguide.

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.

References

  1. P. B. Clapham and M. C. Hutley, Nature 244, 281 (1973).

    Article  ADS  Google Scholar 

  2. R. A. Shelby, D. R. Smith and S. Schultz, Science 292, 77 (2001).

    Article  ADS  Google Scholar 

  3. D. Schurig, J. J. Mock, B. J. Justice, S. A Cummer, J. B. Pendry, A. F. Starr and D. R. Smith, Science 314, 977 (2006).

    Article  ADS  Google Scholar 

  4. R. Marqués, J. Martel, F. Mesa and F. Medina, Phys. Rev. Lett. 89, 183901 (2002).

    Article  ADS  Google Scholar 

  5. R. Liu, Q. Cheng, T. Hand, J. Mock, T. Cui, S. Cummer and D. Smith, Phys. Rev. Lett. 100, 023903 (2008).

    Article  ADS  Google Scholar 

  6. K. H. Kim and Q. H. Park, Sci. Rep. 3, 1062 (2013).

    ADS  Google Scholar 

  7. A. M. Nicolson and G. F. Ross, IEEE Trans. Instrum. Meas. 19, 377 (1970).

    Article  Google Scholar 

  8. W. B. Weir, Proc. IEEE 62, 33 (1974).

    Article  Google Scholar 

  9. D. R. Smith and S. Schultz, Phys. Rev. B 65, 195104 (2002).

    Article  ADS  Google Scholar 

  10. W. P. Ayres, P. H. Vartanian and A. L. Helgesson, IEEE Trans. Microw. Theory Tech. 6, 215 (1958).

    Article  ADS  Google Scholar 

  11. Robert E. Collin, Field Theory of Guided Waves, 2nd ed. (Wiley-IEEE Press, New York, 1991).

    MATH  Google Scholar 

  12. K. P. Thakur and A. G. Williamson, IEEE Microw.Wire. Compon. Lett. 11, 121 (2001).

    Article  Google Scholar 

  13. P. Yeh, A. Yariv and C. Hong, J. Opt. Soc. Am. 67, 423 (1977).

    Article  ADS  Google Scholar 

  14. S. Rytov, Sov. Phys. JETP 2, 466 (1956).

    Google Scholar 

  15. P. Lalanne and D. Lemercier-Lalanne, J. Mod. Opt. 43, 2063 (1996).

    Article  ADS  Google Scholar 

  16. G. F. Engen and C. A. Hoer, IEEE Trans. Microw. Theory Tech. 27, 987 (1979).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Q-Han Park.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, KH., Park, QH. Effective medium characterization of partially-filled rectangular waveguides. Journal of the Korean Physical Society 64, 771–774 (2014). https://doi.org/10.3938/jkps.64.771

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3938/jkps.64.771

Keywords

Navigation