Light scattered by Spherical Metal Particles. 



465 



by Rayleigh to obtain a solution for the case of a perfectly 

 conducting particle, small compared with the wave-length*. 

 The values found in this way are the same as those given 

 above. 



The numerical values of M n and N„ have been calculated 

 for 77 = 1, 1"5, 1*75, and 2. They are given in Table I. As 

 the perfect conductor is a standard case, the numerical results 

 are given in some detail. 



Table I. 



1 



2 



3 



K- 



* T ». 



77=1. 



-0-20807-1X0-04535 , 0-45465- iX 0-29193 

 - 001720 - 1 X 000030 0-03036 - . x 000092 

 -0-00054 0-00076 



1 



2 



3 



4 



i) = 15. 



-O-42978-i x 024448 ! 0-49960- *x 0-48012 

 -0*09380 - 1 X 0-00888 0- 1 9780 - 1 x 0-04079 

 -0-00747 -1 X 0-00006 01134 -ix000013 

 -000030 0-00039 



1 



2 



3 



4 



5. ... 



11=1-75. 



- 0-49244 - < X 0-41339 049054 - 1 x 0-40320 

 -016420-tX0-02773 034143- t x013473 



- 001903 - 1 x 0-00036 01)3083 - 1 x 0-00095 

 -0 00107 000144 

 -0-00004 00004 



1 



2 



3 



4 



5 



-0-48850- «x 0-60663 

 - 025195- ix 0-06812 

 -0-04084-1X0-00167 

 -000316- ix 000001 

 -0-00014 



=2. 



0-44722-ix0'27641 

 0-49571-iX0-43468 

 0-07147-1X0-00514 

 000438.- ix 000002 

 000018 



These values of M„ and N„ may be checked in the follow- 

 ing way. When light passes through a turbid medium, the 

 particles distributed through which are of metal or other 

 absorbing material, there is loss of light from the original 

 beam owing to two causes : (1) the loss due to scattering, 

 and (2) the loss due to the absorption of light by the material 

 composing the particles — the surrounding medium being 



* Phil. Mag. vol. xliv. p. 48 (1897) ; Scientific Papers, vol. iv. 



322. 



Phil Mag. S. 6. Vol. 30. No. 178. Oct, 1915. 2 H 



p. 322 



