166 MR. GEOKGE W. WALKER ON THE INITIAL ACCELERATED 



Using condition (2), the forms to be assumed for the total field are 







-c-c, 



Bz By dz Bz 



By (J tit dz By 2 8y By 



By ' Bx Sy C dt By 



8</o _ f c 2 \l> () _, _p, c 2 (f> _ B 2 <f> __ k_ 2 

 J 2 ' 2 * 



_ 



By dy 2 9. 2 Zz* C Bt Sx Sy 



_ _ 



Bz By dz dy Bz dz 



Hence 



_ 



82 d?/ c.i dydz B 



We obtain as a solution when the vibrations have subsided 



/'_ 1 Jc'/2 



J - WJo 1 ' 



where 



*P.i ~~ "5" ' r (~ If ~\~ Z" "4" r ^i ~t~ "4" " 



O l_'*\i ') 11 *v (1 A* ) J (1 A' ) 



and 



where 



