Question

8a: a light wave of amplitude E sub 0 = 1 traveling in the +z direction is incident on a slab of glass, refractive index n=1.5, at perpendicular incidence. It has wavelength λ = 2π/k in vacuum. Determine the reflection coefficient, R, and transmission coefficient, T for the wave.

b. Now assume that the slab has thickness a, meaning its boundaries are located at z = 0 and z = a. Assume it is infinite in all other directions. In the region −∞ < z < 0, there is both an incident and a reflected wave; in the region o < z < a there is also a wave traveling to the right (transmitted from the lefthand region) and a wave reflected from the end of the slab traveling to the left; in the region za there is a transmitted wave moving to the right. Determine the boundary conditions for the electric and magnetic fields at all boundaries. Note that at the right end of the slab, you will need to include the phase of the wave on either side of the boundary as part of the boundary conditions. Note also that the reflection and transmission coefficients for the fields may have different signs on the two boundaries.

please please include a explanation with your answer

Answer 1

Solution At narnal upt incidente a) Reflection Coe カナカ eye n! /2 I+ 1.5 2/5 s 2S TyansnisSin Coe fticieut 0.96 1 + 1.5)レ (2.5) b) 2 psee charge density at boundevy