Analytical characterization of cut-wire and thin-wire structures for metamaterial applications

Analytical model equations for realization of negative effective permittivity over desired frequency range with resonant-type cut-wire (CW) structure have been derived. The effect of the geometrical parameters of CW structure on characteristic negative permittivity has been investigated in details. These model equations for CW in conjunction with the analytical model equations for effective permeability realizable with circular multiple inclusion magnetic structures (Labyrinth Resonator; acronym LR) has been used to design Ka-band CW-LR type negative refractive index metamaterial. Also the design of metamaterial with conventional thin-wire (TW) and Labyrinth Resonator (LR) has been included. Performance characteristics of the resonant-resonant type (CW-LR) and the nonresonant-resonant type (TW-LR) metamaterial thus investigated has been compared from designer´s point of view.