Q 1814191950.     The optical properties of a medium are governed by the relative permittivity `(epsilon_r)` and relative permeability `(mu_r)` . The refractive index is defined as `sqrt(mu_r epsilon_r) = n`. For ordinary material, `epsilon_r > 0` and `mu_r > 0` and the positive sign is taken for the square root. In 1964, a Russian scientist V. Veselago postulated the existence of material with `epsilon_r < 0` and `mu_r < 0`. Since, then such meta materials have been produced in the laboratories and their optical properties studied. For such materials `n = -sqrt(mu_r epsilon_r) ` As light enters a medium of such refractive index the phases travel away from the direction of propagation.

(i) According to the description above show that if rays of light enter such a medium from air (refractive index = 1) at an angle e in 2nd quadrant, then the refracted beam is in the 3rd quadrant.

(ii) Prove that Snell's law holds for such a medium