Amplitude Reflection and Transmission Coefficients for Perpendicular Polari-sation

Amplitude reflection and transmission coefficients for perpendicular polari-sation

Figure: EM field geometry for perpendicular (σ, s) polarisation. The electric field is shown pointing out of the page.

The EM field geometry for perpendicular (σ, s) polarisation is shown in Figure. In this case, E • e₁ = 0, E • e₃ = 0 and B • e₂ = 0, and so the three simultaneous equations remaining are

Solving simultaneous Equations we obtain;

Using Snell’s law n_t sin θ_t = n_i sin θ_i from which;

cos θ_t = √ (1 – n_i² / n_t² sin² θ_i)

we arrive at the amplitude reflection coefficient for perpendicular polarisation,

and the amplitude transmission coefficient for perpendicular polarisation,