where 



Yim 





L is the ship length, 



H is the ship draft, 



m is nondimensionalized with respect to lhv, 



X, Xj, y, ^ is nondimensionalized with respect to L, 



-Zj s z is nondimensionalized with respect to h. 



For a distribution of sources at a ship center plane 8^(7 = 0, 0<z<-i, 

 < X < 1) represented by a series 



m(x,z) - mj(x) iTijCz) 



CO 



mi(x) = }_, a^ x" 



n = 



m,(z) = 1 



(6) 



(7) 



the wave height will be, by the integration of (5) with (7) in the domain s^ , 



^s = ^sB + ^ss (8) 



.77/ 2 



^sB '" 4 {1 - exp(-k^ sec^f^)} [Sj(0) sin a>(0) + S2CO) cos co(0)] dP (^) 



-rr/2 



7T/2 



^3s - -4 f {1- exp(-k^ sec2^)} [Si(l) sin a)(l) + SjCl) COS a;(l)] df? (10) 



where 



)(a) - k sec^i9 [(x- a) cos ^ + y sin 6)] 



Si(a) 



5,(3) 



y^ (-1) 



n=0 '^l^^'^l 



n (2n) 

 m (a) 



sec 0) 



(11) 



(Cont.) 



Z^ 



n+ 1 r 2n+ 1 ) 

 ) m' '(a) 



^ kj(kjsec6^)2n-i 



1070 



