The optical properties of a medium are governed by the relative permitivity (`ε_r`) and relative permeability (`μ_r` ). The refractive index is defined as `sqrt(μ_rε_r) = n` .For ordinary material `ε_r` > 0 and `μ_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 `ε_r` < 0 and `μ_r` < 0. Since then such ‘metamaterials’ have been produced in the laboratories and their optical properties studied. For such materials `n = -sqrt(μ εr r)` . As light enters a medium of such refractive

Question

The optical properties of a medium are governed by the relative permitivity (`ε_r`) and relative permeability (`μ_r` ). The refractive index is defined as `sqrt(μ_rε_r) = n` .For ordinary material `ε_r` > 0 and `μ_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 `ε_r` < 0 and `μ_r` < 0. Since then such ‘metamaterials’ have been produced in the laboratories and their optical properties studied. For such materials `n = -sqrt(μ εr r)` . As light enters a medium of such refractive index the phases travel away from the direction of propagation.


Prove that Snell’s law holds for such a medium.