2.6 Reflection and Refraction by Zero-Index Metamaterials
45
(a)
(b)
Fig. 2.18 Numerical analysis of light traveling from air to ZIM at a normal and b oblique incidence
2.6.3 Propagation from Zero Index to Positive Index
Let us now consider the reverse case than that in the previous section, and assume
light to be propagating from a zero-index medium to air. Now, n 1 (≈ 0) is the
refractive index of ZIM, and n 2 (= 1) is the refractive index of air. According
to Snell’s law (Eq. 2.26), as light travels from ZIM to air, the angle of refraction
θ r = sin
−1
(n 1 sin θ i /n 2 ) ≈ 0, irrespective of the value of θ i , since the n 1 ≈ 0. In
45
(a)
(b)
Fig. 2.18 Numerical analysis of light traveling from air to ZIM at a normal and b oblique incidence
2.6.3 Propagation from Zero Index to Positive Index
Let us now consider the reverse case than that in the previous section, and assume
light to be propagating from a zero-index medium to air. Now, n 1 (≈ 0) is the
refractive index of ZIM, and n 2 (= 1) is the refractive index of air. According
to Snell’s law (Eq. 2.26), as light travels from ZIM to air, the angle of refraction
θ r = sin
−1
(n 1 sin θ i /n 2 ) ≈ 0, irrespective of the value of θ i , since the n 1 ≈ 0. In