here - Faculty of Science - University of Waterloo
here - Faculty of Science - University of Waterloo
here - Faculty of Science - University of Waterloo
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Facet Reflection Coefficient<br />
E y<br />
∂<br />
E y<br />
• Matching and at the boundary gives<br />
∂z<br />
Ψ<br />
y<br />
= Ψ<br />
+<br />
o<br />
e<br />
−ik<br />
o<br />
n<br />
ol<br />
L<br />
l<br />
z<br />
+ Ψ<br />
−<br />
o<br />
e<br />
ik<br />
o<br />
n<br />
ol<br />
L<br />
l<br />
z<br />
A<br />
B<br />
( 1)<br />
E k +<br />
yr<br />
[ R]<br />
TE<br />
=<br />
=<br />
1 ( k<br />
L )(<br />
)<br />
B<br />
LA<br />
E<br />
yr<br />
(1 −<br />
2<br />
E<br />
E<br />
yr<br />
yi<br />
=<br />
n<br />
n<br />
oA<br />
oA<br />
L<br />
L<br />
A<br />
A<br />
−<br />
−<br />
+<br />
E<br />
n<br />
n<br />
yi<br />
oB<br />
oB<br />
)<br />
L<br />
L<br />
, or<br />
B<br />
B<br />
<strong>Faculty</strong> <strong>of</strong> <strong>Science</strong> - Department <strong>of</strong><br />
Physics 5/3/2009<br />
D. Yevick - Evolution Operators and<br />
Boundary Conditions<br />
39