From Equation (3.7), 



let 



and we get 



p'(x,Y.f) = [Ct)^.Y,f )- iQ(x.Y.f)] 



— oe 



Now R(-X,-Y,T) = R(X,Y,-T) by Equation (4.5). Thus, we have from 

 Equation (3.4) 



••■•IS— «• 



or, by the same procedure, that Equation (3.6) was obtained from 

 Equation (3.4), we have 



(4.6) 



Now, since R(X,Y,-T) is real and Fourier transform pairs are unique, 

 we must have from Equation (4.6) that 



J*R(XX-T)E*K-^2lit4t)AT = P(X,Y,^) 



a parallel form of Equation (3.6). Therefore, the Fourier transform of 

 R(-X,-Y,T) = R(X,Y,-T) is the complex conjugate of the transform of 

 R(X,Y,T); i.e., (see Equation (3.7)) 



pVx,-Y.f) =[P*(X.Y,Or= P(x.Y,f') 



T 

 In general, we have that the Fourier transform of R(T) = R (-T) is 





(4.7) 



Note: P*(0,0,f) = P(0,0,f) is real. 



14 



