Light of a single polarisation meets a plane interface at normal incidence between…

PHYSICS · Subjective · Fermi University Physics · Mathematical Methods for Physics · Optics & Photonics · Wave propagation and light in media

What an Instrument Can See, Ch The boundary as a two-port

Problem

Light of a single polarisation meets a plane interface at normal incidence between air (

n_1=1

) and crown glass (

n_2=1.52

). Using the Stokes relations

r_{21}=-r_{12}

and

t_{12}t_{21}=1-r_{12}^2

, write the interface matrix

\mathbf{I}_{12} = \frac{1}{t_{12}}\begin{pmatrix}1 & -r_{21}\\ r_{12} & t_{12}t_{21}-r_{12}r_{21}\end{pmatrix},

which carries the glass-side amplitudes

(E_2^+, E_2^-)

to the air-side ones

(E_1^+, E_1^-)

, for this interface and evaluate its four numerical entries.