Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

The four equations
A A A A
H = i sgn (K) HZe , H = + isign(~) H
Ye Y i z i
A A A A
can easily be solved for H yer Hze' $ir 'zi*
When transformed into the y-domain it results 4
I Two-dimensional separation formulae I
For practisal purpuses these separation formulae are not very con-
venient, since the kernel decays rather slowly requiring a long
profile to determine the internal and external part at a given '
surface point.
5.2. Conversion - formulae for the field components - of a two- -
dimensional TE-fielci at the surface of a one-dimensional structure
For the separation of the magnetic field components no knowledge
of the two-dimensional conductivity structure is required. However,
the conductivity enters if it is attempted to deduce for instance
r
the total ver-tical component of the magnetic field at the surface
from *he corresponding tangential componenk. If the conductivity
structure is one-dimensional, the conversicn between two component.:
can be effected using a convolution integral, where the kernel is
derived from the one-dimensional structure via the trans5er funs-
'?here S([K[,W) is the ratio between internal and external part of
A h
H i.e. H . /H in the frequency wavenuder domain.
Y' Yl yer
From (5.9a-c) the,yarious conversion formuias for the durface com!31
nents can be derived. The following table gives the definition of