HORTON: THE EFFECT OF ROUGH INTERFACES ON SIGNALS 

 THAT PENETRATE THE BOTTOM 



G = O 1$ +1$, 



^ ^ — e o i 

 yR L 

 ' o 



(6) 



) = k oL 



O -r=— 



yR 



1+1 f L_ 

 3 \ R 



2 c L 

 _ o 



YR 2 

 ' o 



■•y 



6D 

 L 



(7) 



) = k o 



le" 





(^2-^l) 



k L ( ^o \^ ItJL 



r2"'i) 



(8) 



FOR THE PHYSICAL PARAMETERS IN THE PROBLEM, THE 

 LATTER CAN BE APPROXIMATED VERY CLOSELY BY 



>. = k 

 1 o 



sin 6 



(^2-^1) 



-cos H IZ~-Z-, 



(9) 



Figure 8. GREEN'S FUNCTION WITH APPROXIMATIONS 



287 



