﻿854 
  Prof. 
  Skinner 
  and 
  Mr. 
  Tool 
  on 
  the 
  Optical 
  

  

  10. 
  Effect 
  of 
  Elliptic 
  Polarization 
  by 
  Reflexion 
  on 
  

   that 
  of 
  the 
  Transmitted 
  Component. 
  

  

  Let 
  R 
  r 
  2 
  and 
  Rf 
  be 
  the 
  ratio 
  of 
  the 
  intensity 
  of 
  the 
  reflected 
  

   light 
  to 
  the 
  incident 
  for 
  the 
  " 
  right 
  " 
  and 
  " 
  left 
  " 
  components 
  

   respectively. 
  The 
  corresponding 
  ratio 
  of 
  amplitudes 
  will 
  

   then 
  be 
  Rr 
  and 
  R/. 
  The 
  ellipticity 
  of 
  the 
  reflected 
  light 
  

   when 
  the 
  incident 
  is 
  plane 
  polarized 
  is 
  therefore 
  

  

  Lr 
  -r,+r7- 
  

  

  In 
  the 
  measurements 
  given 
  this 
  ellipticity 
  is 
  a 
  very 
  small 
  

   quantity, 
  thai 
  is 
  R 
  r 
  — 
  1\/ 
  is 
  small. 
  Since 
  the 
  reflexion 
  in 
  a 
  

   magnetic 
  field 
  is 
  not 
  appreciably 
  different 
  from 
  that 
  without 
  

   it. 
  we 
  may 
  also 
  consider 
  R,-+K/ 
  = 
  2K, 
  in 
  which 
  R 
  2 
  is 
  the 
  

   reflexion 
  coefficient 
  of 
  the 
  metal 
  as 
  commonly 
  determined. 
  

   The 
  above 
  ellipticity 
  then 
  becomes 
  

  

  F 
  i 
  R*-Rj 
  

  

  Lit 
  -rc 
  2 
  • 
  

  

  The 
  ellipticity 
  of 
  the 
  penetrating 
  component 
  is 
  given 
  by 
  

  

  n-R,-)?--(l-Rr)» 
  

   (1 
  -&*)* 
  + 
  (1-R/ 
  2 
  )*' 
  

   which 
  become-, 
  by 
  substituting 
  B 
  as 
  above, 
  

  

  1-R- 
  for 
  (1-B 
  T 
  2 
  )*(1-R 
  i 
  2 
  )*, 
  and 
  2R 
  2 
  for 
  tV+R^j 
  

  

  E 
  P 
  = 
  , 
  

  

  E 
  

  

  R 
  r 
  2 
  -R 
  

  

  4(1-R 
  2 
  ) 
  

  

  n 
  2 
  

  

  For 
  the 
  magnitudes 
  dealt 
  with 
  in 
  this 
  investigation 
  the 
  

   ellipticity 
  of 
  the 
  transmitted 
  light 
  is 
  obtained 
  by 
  simply 
  

   adding 
  to 
  the 
  ellipticity 
  produced 
  by 
  differential 
  absorption 
  

   that 
  produced 
  by 
  differential 
  reflexion. 
  Assuming 
  that 
  the 
  

   effect 
  of 
  reflexion 
  at 
  both 
  air 
  and 
  glass 
  surfaces 
  of 
  the 
  film 
  

   is 
  the 
  same, 
  as 
  indicated 
  by 
  the 
  results 
  obtained 
  from 
  film 
  15 
  

   (p. 
  852), 
  we 
  have 
  for 
  the 
  ellipticity 
  of 
  the 
  transmitted 
  light 
  

  

  E 
  t 
  = 
  E 
  + 
  2Ep 
  

  

  1 
  R 
  2 
  

  

  By 
  measuring 
  E 
  T 
  , 
  E 
  E 
  , 
  R 
  2 
  , 
  and 
  cc 
  the 
  difference 
  of 
  the 
  

   absorption 
  coefficients 
  {ki 
  — 
  k 
  r 
  ) 
  may 
  be 
  calculated 
  from 
  this 
  

  

  