(b) A metamaterial is constructed from an array of metallic wires and split rings, whose effective relative permittivity
Posted: Wed May 18, 2022 4:58 pm
hi could you please help me with all three questions
(b) A metamaterial is constructed from an array of metallic wires and split rings, whose effective relative permittivity and permeability can be represented by the following expressions 07 €(0)=1- 0(0+il.) 02 02 – 0 +ior, |(@)=1-F m where F is a geometric factor. (i) Comment briefly on the origin of the terms Wp, wo , le and Im. [2 marks] (ii) Assuming that losses are negligible, sketch the frequency dependence of e(w) and u(w), and determine the frequency ranges corresponding to the conditions identified in part (a)(i) and (a)(ii). [6 marks] What is the effect of losses on the electrical permittivity e(w), and what is the impact on negative refractive index? [3 marks
(b) A metamaterial is constructed from an array of metallic wires and split rings, whose effective relative permittivity and permeability can be represented by the following expressions 07 €(0)=1- 0(0+il.) 02 02 – 0 +ior, |(@)=1-F m where F is a geometric factor. (i) Comment briefly on the origin of the terms Wp, wo , le and Im. [2 marks] (ii) Assuming that losses are negligible, sketch the frequency dependence of e(w) and u(w), and determine the frequency ranges corresponding to the conditions identified in part (a)(i) and (a)(ii). [6 marks] What is the effect of losses on the electrical permittivity e(w), and what is the impact on negative refractive index? [3 marks