2 6 Mr. R. A. Houstoun on Total Reflexion at the 



continuously. Therefore we have 



Ei + Rx - E 2 + R 2 (1) 



_. 2nlcoa(t>. 2 2vl cos (p 2 .2irleo3<f>^ 



E 2 « '«* + K,e «, ' _ De - '" - ^ • • • • (2) 

 (E 1 -R 1 )^ > - 1 =(E 2 -B 2 )^ (3) 



1\ ]Vi J± 2 V 2 



(*. - — -K 2 < — )«g£ = D,-< — ~* (4) 



Put T 2ttIcos6 2 n , • • •„„«„ 

 L = — . Cos 6 3 is imaginary. 



TV 2 



Put i cos <^ 3 K 9 ro 



tan a = -p- xp-— . 



cos<f> 2 K 3 ?; 3 



Then dividing (]) by (3) and (2) by (4), 



E l + Ri cos <j) 2 _ E 2 + R 2 cos dh 

 Ei — R 2 K 2 r 2 ~~ E 2 — R 2 K x v } ' 



Therefore 



E^- z ' L + Ro^ +iL 



=- — r f ~ Tp = i cot a. 



E 2 6 iL 1— 2 COt a 



E 2 <r iL ~~ ~~ 1 + z cot a 



_ cos a + i sin a 2/ a 

 COS a — i sin a 



Now i\ 2 _ v 2 2 



/a 1 K 1 fi 2 K 2 ' 



therefore 



Ex + R , _ /K 2 7ti cos <fr 1 + e 2Ma ~ L) 

 Ei — Ri ~ : V K lA t 2 cos ^> 2 1-^-L) 



/K 9 U, COS <f>! . T . 



— l\/ =^-i V 1 COt (a — L . 



V LV^ COS <p 2 



Put 5 X -P^- 



A s /K 9 /xiCos<f)i , / T s 

 — tan — = \ / t^-— v-cot(« — L). 



A s is the absolute phase-difference produced in the com- 

 ponent polarized at right angles to the plane of incidence. 

 The absolute phase-difference produced in the magnetic vector 

 polarized in the plane of incidence is the same as that 



