Parameter extraction of composite right / left handed (CRLH) transmission line unit cell using off resonance method

This paper presents a novel technique for parameter extraction of a CRLH unit cell using off resonance method. The classical technique results in a set of four undetermined equations with six unknowns. Two additional equations are then obtained by differentiation, thus requiring the solution of non-homogeneous differential equations. In this paper we propose an off resonance method that uses linear approximation along with a de-embedded two port measurement to obtain closed form equations independent of derivatives. The procedure is then verified by parameter extraction of a CRLH unit cell available in literature, operating at 3.9 GHz. The proposed method gives a simple and efficient procedure for parameter extraction of the CRLH unit cell for metamaterial based microwave applications.

[1]  David R. Smith,et al.  Electromagnetic parameter retrieval from inhomogeneous metamaterials. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  D. Pozar.  Microwave Engineering , 1990 .

[3]  V. Veselago.  The Electrodynamics of Substances with Simultaneously Negative Values of ∊ and μ , 1968 .

[4]  Jin Au Kong,et al.  Robust method to retrieve the constitutive effective parameters of metamaterials. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  W. Marsden.  I and J , 2012 .

[6]  P. Belov,et al.  Backward wave region and negative material parameters of a structure formed by lattices of wires and split-ring resonators , 2002, IEEE Antennas and Propagation Society International Symposium. Digest. Held in conjunction with: USNC/CNC/URSI North American Radio Sci. Meeting (Cat. No.03CH37450).

[7]  Lv Xin,et al.  Numerical Simulations of Backward-to-Forward Leaky-Wave Antenna with Composite Right/Left-Handed Coplanar Waveguide , 2010 .

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

[9]  Shau-Gang Mao,et al.  Equivalent circuit modeling of symmetric composite right/left-handed coplanar waveguides , 2005, IEEE MTT-S International Microwave Symposium Digest, 2005..