﻿Elliptic 
  Polarization. 
  203 
  

  

  I£ 
  a 
  be 
  between 
  7r/8 
  and 
  Stt/S, 
  cases 
  (3) 
  and 
  (4) 
  in 
  the 
  

   above 
  table 
  are 
  interchanged. 
  

  

  6. 
  When 
  the 
  light 
  is 
  analysed 
  in 
  a 
  plane 
  making 
  an 
  

   angle 
  </> 
  with 
  the 
  principal 
  section 
  o£ 
  the 
  plate, 
  the 
  intensity 
  

   of 
  the 
  radiation 
  characterized 
  by 
  (^, 
  7) 
  is 
  

  

  1 
  = 
  c2{cos2 
  7Cos-((;£>-6') 
  + 
  sin2 
  7sin2(</)-^)} 
  

  

  = 
  4c2{H-cos2ycos2((^-^)}. 
  

   Xow 
  from 
  (2) 
  and 
  (3) 
  

  

  cos 
  27 
  sin 
  26 
  cos 
  R 
  — 
  cos 
  27 
  cos 
  26 
  sin 
  E, 
  

  

  = 
  sin 
  27 
  cot 
  A 
  = 
  sin 
  ( 
  2a 
  + 
  E) 
  cos 
  A 
  

   cos 
  27 
  sin 
  26 
  sin 
  K 
  + 
  cos 
  27 
  cos 
  2^ 
  cos 
  R 
  

  

  = 
  1 
  — 
  tan/ 
  a 
  + 
  — 
  I 
  sin 
  27/sin 
  A 
  

  

  = 
  l-tanL 
  + 
  f 
  ) 
  sin 
  (2a-f 
  R) 
  = 
  cos 
  (2a 
  + 
  R); 
  

  

  whence 
  

  

  cos 
  27 
  sin 
  2^ 
  = 
  cos 
  2ci 
  sin 
  R 
  cos 
  R(l 
  + 
  cos 
  A) 
  

  

  + 
  sin 
  2u 
  (cos^ 
  R 
  cos 
  A 
  — 
  sin^ 
  R) 
  

   cos 
  27 
  cos 
  2^= 
  cos 
  2a 
  (cos- 
  R 
  — 
  sin- 
  R 
  cos 
  A) 
  

  

  — 
  sin 
  2a 
  sin 
  R 
  cosR(l+cosA). 
  

   Now 
  

  

  1 
  + 
  cos 
  A 
  = 
  

  

  1 
  + 
  tan2A/2 
  1 
  + 
  cot^ 
  2/3 
  sin^ 
  K 
  

   2 
  

  

  cos2R 
  + 
  sin'^R/sin2 
  2;8' 
  

  

  cos2 
  R 
  cos 
  A 
  - 
  sin2 
  j^ 
  _ 
  ,_o7>/ 
  •, 
  000 
  ""^ 
  

  

  9 
  tan 
  R 
  

   sinRcosR(l 
  + 
  cosA) 
  = 
  i^t;„.B/sm^2^ 
  = 
  '^° 
  ^^'^"^ 
  

  

  2 
  

  

  l-|-tan2R/sin2 
  2y8 
  

  

  = 
  2 
  cos- 
  — 
  — 
  1 
  = 
  cos 
  S 
  

  

  2tan2R 
  

   cos'' 
  R 
  - 
  sin^ 
  R 
  cos 
  A 
  = 
  1 
  - 
  , 
  

  

  1 
  + 
  tan^ 
  R/sin^ 
  2/3 
  

   = 
  l-2sin2 
  2/3sin2^ 
  

   = 
  cos^ 
  213 
  + 
  sin^ 
  2p 
  cos 
  5. 
  

  

  