- A An Electromagnetic Wave Is Incident From Free Space Onto A Slab Of A Hypothetical Metamaterial Of Impedance Z Zvu 1 (189.93 KiB) Viewed 24 times
(a) An electromagnetic wave is incident from free space onto a slab of a hypothetical metamaterial of impedance Z = Zvu/ɛ, where Z, is the impedance of free space, the relative permittivity is ε = {, +is, and the relative permeability is u = 4, +iu,. (i) Show that a sufficient condition for a negative refractive index n in the metamaterial is €; <0, u <0. [2 marks] (ii) What conditions on ε, Ez, uy, and u, result in high transmission of light through the slab? [2 marks] (ii) a Consider an evanescent electromagnetic wave incident upon a slab of thickness Lslab made from a left-handed material of index of refraction ou = -1 (for simplicity, also assume that relative permittivity and permeability of the slab are given by Eslab = M slab = -1). Calculate the reflection coefficient of the slab. [5 marks]