On Sep 17, 2010, at 7:19 AM, <[email protected]> <[email protected]> wrote:
I am modeling a planar waveguide which has a finite thickness in the
z-direction and is infinite in the xy-plane. To model this I use a
one-dimensional computational cell along the z-direction and look
for the
propagation in the x-direction.
Now for the polarization/symmetry part:
TE polarization has the electric field confined to the xy-plane.
[...]
TM polarization has the magnetic field confined to the xy-plane.
The magnetic field is given by
These solutions don't exist in the structure you describe, because it
is not z-invariant.
Since your structure is y-invarant, you can look for solutions where
either E or H is purely transverse to the xz plane, with run-yeven or
run-yodd.
Or, because of the z=0 mirror plane, you can look for solutions that
are even or odd in z; these solutions, to the extent that they are
strongly localized in z, are TE-like or TM-like respectively but are
not purely polarized.
See the discussions of symmetry and polarization in chapters 3, 6, and
7 of our book: http://ab-initio.mit.edu/book
Steven
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