Abstract

The dispersion relations for metamaterial cylindrical guides are found and their Brillouin diagrams are drawn for different guide parameters. It is found that the transverse propagation coefficient of the first TMz mode and the first TEz mode can be either real or imaginary. The longitudinal propagation coefficient of the first TMz mode starts at zero frequency and ends at a frequency where it is equal to the wave-number of the surrounding dielectric medium, while the longitudinal propagation coefficient of the first TEz mode starts at this same frequency and afterwards grows indefinitely. The first hybrid mode of order one as well as subsequent modes are also studied. It is found that for the first TMz and TEz modes, the group velocity is almost constant, whether the transverse propagation coefficient is real or imaginary. Moreover, interesting coupling effects can be obtained by using adjacent metamaterial and dielectric cylindrical guides. © 2004 Wiley Periodicals, Inc. Microwave Opt Technol Lett 44: 31–35, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20538

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