416 WRIGHT— POLARIZED LIGHT IN THE 



Therefore 



/ = ^iCOs(t — Ai), 



^ = r,sm(r — Ai). 

 Hence 



tan (r - Ai) = ^ 



The expression /^ -\- g^ is most readily obtained by multiplying 

 f -\-ig by its complex conjugate (/ — ig). Accordingly the intensity 

 of the reflected light which is proportional to the square of the am- 

 plitude r-^^ is 



Irs (wi — 





{22) 



Is {n, + iy + n,H,^ ( I V , 2' 



The phase difference is given by 



hA — aB — 2WiKi 



tan (r — Ai) = . , , p = — ; , . (23) 



^ aA -{- bB Wi^ — I + WiKi 



Similarly the amplitude of the component parallel with the plane of 

 incidence is 



Rp Rp2 52—50 W2 — I — ^2^2 



Ep Ep2 22+50 W2 + I — in^Ki 



The intensity is 



Irp _ (no - i)^ + no-Kj^ 



Ip ~ (W2 + i)^ + ni^Ki^' 



The phase difference is 



(24) 



(25) 



By division of (20) by (24) an expression for the amplitude 

 ratio is obtained 



Rs (ni — I — iniKi)(n2 + i — in2K2) Es , . 



_ — :== _ -: — ^ ~ . (27) 



Rp (wi + I — iniKi)(n2 — I — in^Ko) Ep' 



