Yamazaki 



Vd(^0 



B^2 J 



( SR 





3H., 



K 'xR 



d?]' , 



(97) 



and the rest are emitted. Thus, the integral equations, which are derived by 

 substituting Eqs. (97), etc., into the boundary conditions of Eqs. (77), (78), and 

 (79), hold irrespective of time s, so that each component of the harmonic series 

 with respect to e"'™^ or e ^"^k(m,n = 0, ±1, +2, . . . ) in these equations must vanish. 

 Hence, the following equations are obtained for each harmonic number n or m: 



Am* (l,,,V,) + — d^', y m* (^\'V\) H ,„ dri\ 



2 Km'^ ^ 1 ' 1 ' Ajj J 1 / , J K mV ^ 1 ' ' 1 ' k'Hk '1 



^F K ' = 1 ^b(^ 1 ) 



n ^B - 1 



1 ^ ........... . 



^1 0(^')dr| t*(r,v') Wt(^') P^HK^dV 



, for m ?; 



^J ^(v[)dv\ J t*(77;,u')[7.^(77;) - V*°(77;)] Rthk ^u' , for m = O 



(98) 



J A 2 ^d(^'l) p^u j-^ 



^F k'=1 ^b(^l^ 



1 1 



n ^B " ^ 



1 1 



(99) 

 (Cent) 



50 



