358 





oc/r^ 



1 3 S 6 7 



S <» 





11 



1S 



;U 00 



15 



FIGURE 6. A family of functions 5rj^(x/rc) with a = 1. They are given by Srj^ (x/r^)=l for x < and 

 =l-\(x/r^)^ for X > 0. The value of \ is given in the table. The point of separation is denoted by a dot. 

 The amplitude of the waves at x = ^^ divided by rj^(-<^ ), denoted by A, is also given in the table. 



7/// // y / / / r/ //////// T/ 



f. 



'^ciur 



-^K 



■////// I //////// /Ti 



roo -^uo^^^^TTT 



^Ir, 



■ / / / / / ' / I / r / I I T^, 



rr 



f%r>-rfn;f 



x/r, 



6.00 



////// I I I I I I m-^. 



6 LiO 



-a. oc 



- 5 . D P 



TWrnT^ 



2.110 



^ 



FIGURE 7. The functions 5rfj(x/rj,) (hatched 

 curve) and 5r^(x/rj,) for vanishing waves at 

 X = ". The values of a are a) 4, b)2, c)l, 

 d)0.5, e)0.25. The point of separation is at 

 X = 0. 



^~r 1 1 I n 



