TAPPERT: SELECTED APPLICATIONS OF THE PARABOLIC-EQUATION METHOD IN 

 UNDERWATER ACOUSTICS 



c(z,r,t) = c(z,r) + 6c(z,r,t), 



(23) 



where Sc is a random function of z,r,t 



n'^(z,r,t) 



o „ 6c (z,r,t) 



c2(z,r,t) c2(z,r) 



- 2 



(24) 



Use quasi-static approximation 



Wj, << w , —- 

 oc o L„ 



9<J; 1 3^.|; 



i — + — T + 



9r 2k 9z2 



k / c 



o 

 2 



T -1- 



6c (z,r,t) 

 o c 



ijj = (25) 



The solution gives 



, 1 i(k r - w t) 

 p(r,z,t) = ij;(r,z,t) — e o o 



vr 



<(p(r^,z^,t^) P"(^2'^2'^2^ ^ 



(26) 



Figure 22. RANDOM OCEAN PROCEDURE 



187 



