DERIVATION AND GENERAL PROPERTIES OF ARTIFICIAL LOSSLESS BALANCED COMPOSITE RIGHT/LEFT-HANDED TRANSMISSION LINES OF ARBITRARY ORDER

A circuit theory-based approach for systematically deriving all possible lossless balanced composite right/left-handed transmission lines is described. To illustrate the usefulness of the proposed approach, novel artiflcial transmission line unit-cells with tri- and quad-band behaviour are proposed. It is shown that the number of right-handed or left-handed frequency bands exhibited by such transmission lines is determined by the order of its unit-cell. It is explained why artiflcial lossless balanced transmission lines exhibit a stop-band around each pole of their associated continuous transmission line that can not be closed up. Since this approach allows for the systematic derivation of such transmission line unit-cells of arbitrary order, multi-band components based on metamaterial transmission lines are envisaged.

[1]  Louis Weinberg,et al.  Network Analysis and Synthesis , 1962 .

[2]  C. Krowne,et al.  Frequency dependence of left-handed and right-handed periodic transmission structures , 2004, 2004 IEEE MTT-S International Microwave Symposium Digest (IEEE Cat. No.04CH37535).

[3]  Robert Stratman Elliott,et al.  An introduction to guided waves and microwave circuits , 1998 .

[4]  Sailing He Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications. By Christophe Caloz and Tatsuo Itoh. , 2007 .

[5]  K. Balmain,et al.  Negative Refraction Metamaterials: Fundamental Principles and Applications , 2005 .

[6]  S. Ramo,et al.  Fields and Waves in Communication Electronics , 1966 .

[7]  I. Wolff,et al.  Double-Lorentz Transmission Line Metamaterial and its Application to Tri-Band Devices , 2007, 2007 IEEE/MTT-S International Microwave Symposium.

[8]  Tatsuo Itoh,et al.  Electromagnetic metamaterials : transmission line theory and microwave applications : the engineering approach , 2005 .

[9]  Franklin Fa-Kun Kuo,et al.  Network analysis and synthesis , 1962 .

[10]  G. Eleftheriades,et al.  A Generalized Negative-Refractive-Index Transmission-Line (NRI–TL) Metamaterial for Dual-Band and Quad-Band Applications , 2007, IEEE Microwave and Wireless Components Letters.

[11]  T. Itoh,et al.  Composite right/left-handed transmission line metamaterials , 2004, IEEE Microwave Magazine.

[12]  George V. Eleftheriades,et al.  A Generalized Negative-Refractive-Index Transmission-Line (NRI–TL) Metamaterial for Dual-Band and Quad-Band Applications , 2007 .

[13]  C. Caloz,et al.  Dual Composite Right/Left-Handed (D-CRLH) Transmission Line Metamaterial , 2006, IEEE Microwave and Wireless Components Letters.

[14]  M. Born,et al.  Wave Propagation in Periodic Structures , 1946, Nature.

[15]  S. Otto,et al.  Extended composite right/left-handed (E-CRLH) metamaterial and its application as quadband quarter-wavelength transmission line , 2006, 2006 Asia-Pacific Microwave Conference.