** Amplitude reflection and transmission coefficient for parallel polarization**

**Figure: EM field geometry for parallel (π, p) polarisation. The magnetic field is shown pointing in to the page.**

The EM field geometry for parallel (π, p) polarisation is shown in Figure. In this case, B • e_{1} = 0, B • e_{3} = 0 and E • e_{2} = 0, and so the three simultaneous equations remaining are

Solving simultaneous Equations we obtain;

Using Snell’s law to replace θ_{t} we arrive at the amplitude reflection coefficient for parallel polarisation,

and the amplitude transmission coefficient for parallel polarisation,