Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

The TE-mode has no vertical electric field, ?he TM-mode has no ver-
tical magnetic field. In the treatment of the;+? modes the use of
- -
electromagnetic potentials is not necessary since E x and H x can serve
as pertinent potentials. For conciseness let
- -
H: = Hx I E: = Ex (3.4b,a!
Then E and H satisfy the equations ,
In uniform domains both equations. agree. Eq. (3.5b) resembles the
equation of heat conduction in a non-unifor15 heat conductor.
The continuity of the tangential electric and magnetic field components
at conductivity discontinuities leads to the conditions
-- ..
I -1
E, -- continuous :
an
TE
(3.6a)
H, - 1 - aH
continuous : TM
a -
(3.613)
an
- a is the derivative in direction to the normal of the discontinuity.
an
The E- and H-polarization - shores very different patterns. From (3.lb),
(3.2b) follows that Ex is constant in the air half-space (u=o). Hence
the Tbl-mode admits only a quasi.-uniform inducing magnetic field. In
contrast in the TE-mode any two-dimensional inducing magnetic field
is allowed.
Hence, t17.e source terms to he added on the PJKS of (3. I a, b) are
je(y1z) and Ho 6 (z+h),
-