Falttnsen 
way for the zero-speed problem, The two-term near-field solution is 
given by (92). 
It should be noted that ''Near-field'' means the region near the 
body where the distance from the body is 0(€ ). However, we do not 
expect the near-field approximations to be valid near the bow and 
stern. 
We will express the potential of the diffracted wave as follows : 
i(wt - vx) 
e.. (ase y (x, y, Z) (66) 
Using (55), (51), (54), and the fact that the incident wave po- 
tential satisfies the Laplace equation and the free-surface condition 
(54), we get that $,, will satisfy the Laplace equation and the free- 
surface condition (54). 
Putting (66) into Laplace equation gives 
in the fluid region. 
The free-surface condition is 
) 
Z ? 
fo) 
(iw + UZ) a ais = O08 on 2 =e (68) 
Putting (66) into (68) gives 
(69) 
1792 
