Date post: | 19-Jan-2016 |
Category: |
Documents |
Upload: | iris-norman |
View: | 221 times |
Download: | 0 times |
• Applications of Brewster’s and TIR effects• Slab waveguide and Brillouin’s waves • Transmission line (TL) concept• Parallel-plate waveguide (PPWG) with the TEM wave• Telegrapher equations for PPWG • General telegrapher equations
Elements of electromagnetic field theory and guided waves
Application of Brewster and TIR effectsNatural pol. (chaoticellipse) Linear
2. Slab optical waveguide
1. Lossless polarization of natural light
Optical waveguide
Simple mirror
Polariz. rotator
x
Linear
Brillouin waves in a slab WGy
TEevenyEeee
eE
eRReRReR
eReeEE
ReREE
yyjyj
djzj
tr
yjzjyjzjyjzj
yjzjyjzjyjzjtr
djyzx
yy
y
z
yzyzyz
yzyzyz
y
cos)(1
12
...)
(
,cos,sin,
0.
.
z
R+
R-
d/2
R+
R-
d/2
Ei
Ei
Etr
Etr
Odd TE modes
TEoddyEeee
eE
eRReRReR
eReeEE
yyjyj
djzj
tr
yjzjyjzjyjzj
yjzjyjzjyjzjtr
yy
y
z
yzyzyz
yzyzyz
sin)(1
12
...)
(
1.
.
z
R+
R-
d/2
R+
R-
d/2
Ei
Ei
Etr
Etr
xx
x
Both E0 and E1 comprise exp(-jzz)
Transmission Line concept (z≡)
e-jz =e-
z
x z
Confined TL
zx
zx
zx zx
x z
x z
e-jz =e-z
Open TL
Parallel-Plate Waveguide with a TEM wave
Medium with and
L and C p.u.l.y
w
dxz
Inductance p.u.l.
Capacitance p.u.l.
Telegrapher equations for PPW
- field inside
V, I - response of the plates to fields inside
Wave impedance Phase velocity
yy
General telegrapher equations
Similarly