/ 



/(t) = -(l/4u) I (l/r-l/r')3*/3nda (6.2a) 



and the potential ip may be expressed in the form 



f-\ 



/(t) = -(l/47r^) I dv I dME(y,v;OA(y,v)/D(y,v) (6.2b) 



where A(y,v) is defined as 



A(y,v) = E(y,v;x)8<j)/9nda + F^ 



E(y,v;x)8<j)/9nda + F | E(y,V;x)n t 9())/3nd£ (6.2c) 



The waterplane integral w(C) defined by Equation (5.2) takes the form 



00 oo 



w(t) = - -^^±i|^ J dv j dy ^D(^y;f^ [ exp[i(xy+yv)]dxdy (6.3) 



The potential L'(C;'jj) defined by Equation (5.4) can then be expressed in the 

 form 



L'(t;.|j) = L^(t;i^) + Cd;^^) (6.4) 



where the potentials L'[ and L^ are defined as 



23 



