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.
References
P. B. Clapham and M. C. Hutley, Nature 244, 281 (1973).
R. A. Shelby, D. R. Smith and S. Schultz, Science 292, 77 (2001).
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).
R. Marqués, J. Martel, F. Mesa and F. Medina, Phys. Rev. Lett. 89, 183901 (2002).
R. Liu, Q. Cheng, T. Hand, J. Mock, T. Cui, S. Cummer and D. Smith, Phys. Rev. Lett. 100, 023903 (2008).
K. H. Kim and Q. H. Park, Sci. Rep. 3, 1062 (2013).
A. M. Nicolson and G. F. Ross, IEEE Trans. Instrum. Meas. 19, 377 (1970).
W. B. Weir, Proc. IEEE 62, 33 (1974).
D. R. Smith and S. Schultz, Phys. Rev. B 65, 195104 (2002).
W. P. Ayres, P. H. Vartanian and A. L. Helgesson, IEEE Trans. Microw. Theory Tech. 6, 215 (1958).
Robert E. Collin, Field Theory of Guided Waves, 2nd ed. (Wiley-IEEE Press, New York, 1991).
K. P. Thakur and A. G. Williamson, IEEE Microw.Wire. Compon. Lett. 11, 121 (2001).
P. Yeh, A. Yariv and C. Hong, J. Opt. Soc. Am. 67, 423 (1977).
S. Rytov, Sov. Phys. JETP 2, 466 (1956).
P. Lalanne and D. Lemercier-Lalanne, J. Mod. Opt. 43, 2063 (1996).
G. F. Engen and C. A. Hoer, IEEE Trans. Microw. Theory Tech. 27, 987 (1979).
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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
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DOI: https://doi.org/10.3938/jkps.64.771