Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

The vari.ables x,y, and t which do not explici.tly occu~ i.n (2.9)
and (2.10) can be separa-ted from Q E and OM by exponential factors.
Let for OE or OM
- x - Y
A
where K = K x + K and K~ = -
,-.
Then (2.3) and (2.10) mad
K = - K . (2.14a,l
The general solution of (1.2) - (1.5) for a. one-dimensional conduc-
tivity structure is the superposition of a TE- and TM-field. The
total field then reads in components:
--- .--a
a20E
H = -Co$ ) + --x
ay M ax;)~
a ae QE
H = - -(uQ ) +
Y ax M ay a z
H = -(- a
z
ax2 ay2
WE
-
1 a "~l$~) -
Ex-o axaz a~
., 7
1
E = -
y o ayaz
3 - "8,
a I - (-- + a
E~ :)OM
ax2 ay
+ "0 ax
General expression of fie1.d components
- -
At a l>.orizontal di.scon-l-inuity the tangential. compone~~fs of - E and - H
and ille ndriaal. con~ponenl: of I1 arc coiitinuous. Let [ ] deno-te
Z
the j~unp of a p;lrticulaT quanti-ty, Theil frorr~ (2.15~) ]?OF )I z
(2.15a)
(2.15b)
(2.15~
(2.16a)
(2.16b)
(2.16~