Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

With this knowledge of the behaviour of $,, @,, QX in the uniform
whole-space, these functions for a layered medium can be easily
obtained.
Let in the m-th layer hm < z < hmt1
where
where
+ -1-
~ ~ A i f i z - < z0
+ -I-
~ ~ B I ~ f i > z o
z -
+
and f-. = (z-h )Il a2 = h2-tk2. Then starting with
n~
_
in n~ m m
- t - + - + -
+ 1, A =O, B =Or BL=l1 C =I, C=O, D =01 D =I.
ko 0 L 0 0 JJ 1,
The boundary conditions(4.13) lead to the recurrence relations