Multi-mode Propagation in 2D filters and Metamaterials

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Hunter, IC ; Rhodes, D ; Sandhu, M ; Snyder, RV ; Meng, M (2016)
  • Publisher: Institute of Electrical and Electronics Engineers

Meta-materials are characterised using a modal technique for the analysis of 2N- port two dimensional filter networks. It will be shown that in general, all such networks support N modes of propagation each with different propagation constants unless as with the TEM multi-wire transmission line, the inductance matrix is the inverse of the capacitance matrix. Furthermore a simple equivalent circuit for these 2N port networks is derived, enabling complete network analysis for any combination of modal excitations. An explicit formula is derived for the propagation constants of a quasi lowpass filter. This demonstrates that there are always N modes even when the transverse network is infinite in extent.
  • References (4)

    [1] I. C. Hunter, A. I. Abunjaileh, J. D. Rhodes, R. V. Snyder, M.

    [3] R. Islam, M. Zedler and G. V. Eleftheriades, "Modal analysis and wave propagation in finite 2D transmission-line metamaterials", IEEE Trans. on Antennas and Propagation., vol.

    59, no. 5, pp. 1562-1570, May 2011.

    (honors, first class) and Ph.D. degree from Leeds University, Leeds, U. K., in 1978 and 1981, respectively. Early in his career, he was with Aercom, Sunnyvale, CA, USA, and KW Engineering, San Diego, CA, USA, and Filtronic, Shipley, U.K., where he was involved with the development of broadband microwave filters for electronic warfare (EW) applications. From 1995 to 2001, he was with Filtronic Comtek, where he was involved with advanced filters for cellular radio. He currently holds the Royal Academy of Engineering/Radio Design Ltd. Research Chair in Microwave Signal Processing with the School of Electronic and Electrical Engineering, The University of Leeds, Leeds, U.K. He currently leads a team involved with the research of new microwave filters for mobile communications systems. He authored Theory and Design of Microwave Filters (IEE, 2001). Prof. Hunter is a Fellow of the IET and the U.K. Royal Academy of Engineering. He was general chair of 2011 European Microwave Week, Manchester, U.K. He will chair the 2016 European Microwave Conference, London, U.K.

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