Here (y,z) is the point where the potential is sought and (ti,£) is a source point 

 (Figure 2) . 



to.f> 



Figure 2 - Sectional Coordinate System 



(y.*) 



If (T),0 goes to the origin, the value of G in Equation (17) becomes twice as large 

 as that of Equation (15) . By similar analogy, the solution of (|>, is given by 



»3 * °3 G 2D 0) ' 



z 



m=l 



cos(2m9) K_ cos[(2m-l)6] 



2m 2m- 1 2m- 1 



(18) 



(0) 

 where G„ is given by Equation (15) and a is the multipole strength. Both the a„ 



in Equation (14) and the O in Equation (16) can be solved with application of the 



body boundary condition [Equation (9)]; a„ in Equation (18) is solved using Equation 



(12). 



The two-dimensional velocity potential due to pitch oscillation can be obtained 



by multiplying Equation (6) by -x to give 



(S) 



'3 v 3 ; 



(19) 



TWO-DIMENSIONAL DIFFRACTION POTENTIAL 



The two-dimensional diffraction potential satisfies the conditions 



)V 7 (S) 3V 7 (S) 



when z < 



8/ 



(20) 



3z' 



