4-96 BARON VON WREDE ON THE ABSORPTION OF LIGHT 



+ (m - 2) (1 - i-y sin 2 . 2 :r — 



\ 



+ ..(m-n)(l-rf^"-^^,inn.2n^iy 

 If we now put the coefficients of sin 2 tt | < — — ] equal to A' cos i, 

 and the coefficients of cos 2 tt | < — — ) equal to A' sin i, we obtain 

 U'=A'rsin ^Ttft- —\cosi- cos2'Jt{t- —\ sin ij 



= A' sin ^2T({t-^\ -il. 



Whence it follows that A' becomes the intensity of the resulting system 

 of waves of light. 



If we multiply A' sin i with V—1, and add it to A' cose", and put 

 for shortness 



(1 — r)- I cos2*. 1- v'— 1 .sm2 7r — I 



equal to p, remembering that 



cos m z + V—l . sin »i z = (cos 2 + V — 1 -sin zy\ 

 we obtain 



A'(cosi + -v^— 1 . sin 2) 



= a . (1— »■) r"l cos 2 ir "^ + */ —\ . sin 2 ff — I x 



X ((m - 1) + (m - 2)p + (m - 3)p- + ....(tn- n) p~ \..{9) 



If we call ({m — \) + (m — 2) p + {m — S) p°- + . . ^ 

 for the sake of shortness S, we have 



^ = {in-\)Q. ^p+p-'+p" +p^ + . . +J»"~^) " 



— fp + p- + p^ + p'' + • • + y ~ ) 



-(p"-+2i' +p^ + .... + p''~^) 



-(p'+p' + +p"~^) 



