Ogilvie 



Also 



4 „3 





^ R^. . (r) + 



(3.20) 



The 3rd term of the Eq. (3.10) is the Fourier transform of the functions that is 

 the product of Eq. (3.20) and some other fiinction. The following relation is 

 used, in this calculation: 



2- J. 



R(t) e'J"^ = S(co) , R(t) 



f 



S(aj) eJ"* doj 



(3.21) 



2- J. 



R3(t) e 



1 Cl>T t 



I 



r2(t) S(aj') e doj'dr 



^^""'^'^^ R(T) I e^'^"^S(a.")dc." f S(-')da,' 



JOJT if 



dr = -T— 



277 j_ 



- I S(aj') I S(a)") S(w-a; - oj ) doj do.) 



J - rn ^ ~ CO 



dr 



J - (X) L »^ - 00 



S(a)') S(a;") 



-^'-..")r 



R(T)dT 



dw'do)' 



(3.22) 



Similarly 





R5(t) e dr 



^OD pCO ^(D pOO 



S(c^l) SCa;^) S(a;3) S(c^^] 



«-'-m -^-m *'-C0 -'-CD 



X S(a)- ^1 " ^2 ~ "^3 ~ ^'^ ^^'^i *^'^2 ^^'^a ^^4 ' 



(3.23) 



However, because of the small value of the coefficient of R^(r), Eq. (3.23) was 

 omitted in further analysis. Then, the 3rd term of Eq. (3.10) is 



120 



