Wave Forces on a Restrained Shtp tn Head-Sea Waves 
where 
co 
1 ik 
Gey, 2) = = / dice o*(k) 
2 
4n 
(C-2) 
oo . f VJ 1)* f2 
af fey a (v-k) + 
. dig a 
= 2 Zee Z 
Pa Nee ea -— (w, + Uk = in) 
We will let y = 0(1) and we are going to assume that y > 0. 
We define 
(C-3) 
The poles of the integrand of (C-3) are important. They are given 
in the limit by 
(C-4) 
p. + I Z 2 
= - ot Lal - ( v -k) 
We have to study the sign of the radicand in order to deter- 
mine the location of the poles in the complex -plane. 
Let us define 
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