HORTON: THE EFFECT OF ROUGH INTERFACES ON SIGNALS 

 THAT PENETRATE THE BOTTOM 



A VERTICAL DISPLACEMENT C (x , y,) WILL PRODUCE 



A PHASE DELAY, 6 



. (2n 1 2n 



^W ^°^ ^W ^B ^°^ ^B 



WHERE W: WATER B: BOTTOM 



FURTHER, IN THE MEDIUM AT THE ANGLE e_ , 



rS 



-^ If^ = + i ^B -°^ ^B* 



WITHIN THE ACCURACY OF THE LINEAR APPROXIMATION, 



e B, o B 



(13; 



SO 



4n 



-i k 2 cos 6 

 (P) = ^ ^ I <l)Gd£<f (14) 



^ 



Figure 11. VARIABLE PHASE DELAY AND ITS EFFECT ON (J) 



291 



