C = the wave -velocity 



AkC 



X e"'"'^^ X cosh (kd) = the maximum amplitude of wave motion. 



^ = the surface elevation at time t, given by the real part of 

 equation (1) 



For waves travelling in the direction of the positive y axis with no 

 barrier present, 



F(x,y) = e-^^ (E-9) 



With a single rigid barrier present, Putnam and Arthur give as a solution 



F(x,y) = e"^^ . f (u^) + e^^ . g(u2) (E-IO) 



where f (u-), and g(u_) are given by 



g(up=^ ^""^/„' e-i'^'/^dv (E-12) 



u^ and Up being given by. 



TTCr-yT 



^1 = V^ 



origin of 

 coordinates 



Breakwater 



SSSSSSSSSSS 



^ 



direction of incident 

 wave approach! 



(E-13) 

 (E-lU) 



FIGURE E-2 Diffraction coordinates for a single breakwater 



E-3 



