Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

If, for instance E = V and H = U, the magnetotelluric relation
A ,. X Y
EX = WM, C II of the k-w domain will transform& into
Y
with N(w,y) as Fourier
-
transform of C(o,k). Observe that reversely
4
-iky
CCw,k) = I N(w,y)e. dy
and therefore
-03
f-
CCw,O) = J N(w,y)dy.
-m
Hence, if H is quasi-uniform within the range of the kernel M,
Y
which is the CAGNIARD-TIKHONOV relaticn con~monly used for single
1
site sounding-s.
In a similar way the magnetic ratio, of vertical to horizontal' va-
riations can be generalized to
with MCw,y) as Fourier transform of ik C(w ,k ) .
Y Y
The response functions N and M have their highes-t valuei. close to
y -
O
and approach zero for distances y which are large i.n compari-
son to the modulus of C(w,k=O): d.;:.rn,-Lc. do-,,o. :.,
----. - ---. .
A.