<Kr,0) = J Q (kr) + 2 



I 



n=l 



iniT/4 



-. . na n6 

 J ,„(kr) cos y~ cos y 



(28) 



Equation 28 is precisely the same one obtained by Stoker (1957). 



19. The vertical wedge should also become an infinite wall extending 

 from x = - 00 to °° with the water occupying only the half plane of y ^ as 

 the wedge angle increases to 180 deg. In this situation the scattered wave is 

 absent from the solution, and the total wave is only the sum of the incident 

 and reflected waves as follows: 



♦(r,6) 



ikr cos(S-a) ikr cos(6+a) 

 = e + e 



(29) 



After expansion of the exponential functions in terms of Bessel functions 

 (Abramowitz and Stegun 1964), Equation 29 becomes 



>(r,6) = 2 



J_.(kr) + 2 / i n J (kr) cos na cos n6 

 U £—i n 



n=l 



(30) 



Equation 30 is the same equation reduced from Equation 26 by substituting 

 v = 1 into it. 



12 



