0
50
100
150
200
250
300
0
50
100
150
200
kx
kx
kzTeflon
0
kzair
0
,
note that the k vector moved away from the zaxis (the normal to the boundary) upon entering
the air region
At 9Ghz Gamma is 0.278 purely real and positive showing that the impedance in air is larger
than in teflon. The angles of incidence are obtained from kz and kx
Gamma
0.278
0.218
0.608
0.794i

=
Gamma
m
ZTE1air
m
ZTE1Teflon
m

ZTE1air
m
ZTE1Teflon
m
+
=
ZTE1Teflon
m
377
2
kTeflon
m
kzTeflon
m
⋅
=
ZTE1air
m
377
k0
m
kzair
m
⋅
=
kzTeflon
m
kTeflon
m
(
29
2
kx
2

=
kzair
m
k0
m
(
29
2
kx
2

=
kTeflon
m
k0
m
2
⋅
=
k0
m
2
π
⋅
freq
m
⋅
3 10
8
⋅
=
kx
π
a
=
For mode 1
m
0
2
..
=
a
0.9 0.0254
⋅
=
freq
9 10
9
⋅
12 10
9
⋅
6 10
9
⋅
=
A PPP waveguide carrying the TE 1 mode
Teflon
Air
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At 12Ghz Gamma is 0.218 purely real and positive showing that the impedance in air is
larger than in teflon. The angles of incidence are obtained from kz and kx
both vectors are closer to the zhjat direction but again the wave refracted away from the normal
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 Spring '09
 diaz
 100 %, Total internal reflection, 2 m, 10 8 m, 377 m

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