HORTON: THE EFFECT OF ROUGH INTERFACES ON SIGNALS 

 THAT PENETRATE THE BOTTOM 



LET 



T = TRANSMISSION COEFFICIENT 

 a = AREA OF INSONIFICATION 

 m = 2n i 1 1 



X cos 6 

 w w 



Ag cos Bg 



THE FIELD AT P IS THE PLANE WAVE 



4)(P)= c 



L 



im?(x^, y^) 



ik 



B 



dx, dy, -e 



x„sin6_,-z„cos6_, 



(15) 



WHERE 



C = - i o 



yr 



'^B ^°^ ^B ^ ^^o 



21 ^ ^ 



NOW 



imC 



1-2 ._2 



e dx dy = a 71 - \.m<i,>—^ <^^> + 



(16) 



a 



<?> =o 



NO PHASE SHIFT 



1/2 



<(;^> ^ 0.03 = 0.1 m, ABYSSAL PLAINS 



Figure 12. RESULTING FOPJVIS 



293 



