where A = amplitude of the incoming wave 



6 = heading angle of the incoming wave: 3 = 180 deg in a head 

 sea and 3=0 deg in a stern sea 



K = wVg 



(s) 



If we express the outer approximation of '/'^ as 



^7" ■ '7 '=2D + "a '=2D 



(73) 



then the outer approximation of the inner solution, ^^, which is similar to Equation 

 (54) , is given by 



^7 = ^7 Sd + S^") ^""l^l^ Sd + S(^) ^Sd-V ^7 



(74) 



The second term in Equation (73) is asymmetric. Because the ship has a symmetric 

 centarplane, this asymmetric term is not included in Equation (74) . The outer so- 

 lution for the diffraction potential is given by Equation (45) with j = 7. Then, 

 taking the Fourier transform of Equation (74) and matching with Equation (45), we 

 can derive the integral equation for the outer source strength and the inner so- 

 lution similar to Equations (62) and (63) as 



^.-fk^) - i 



(a^-KT-,) 



2ua 



7 J 



J-. 



(?) f(x-C)d? = - a. 



(75) 



7 7 



(s) 



2TTa- 



)jq/ 



(4.^+4)^) I q^(?) f(x-?)d? 



(76) 



and 



<^7-- 



2TTa^ J 



(C) f(x-?)d5 



(77) 



17 



