Electromagnetic Waves and Antennas combined - Chapter 17 pptx
Electromagnetic Waves and Antennas combined - Chapter 17 pptx
... × ∂
z
h = 2∇
∇
∇×h
(17. 17.24)
Eqs. (17. 17.18) and (17. 17.24) are equivalent to applying the Franz formulas with the
field-equivalent surface currents of Eqs. (17. 1.2) and (17. 1.3), respectively.
As ... form:
ˆ
E
=
ˆ
E
⊥
+
ˆ
z
ˆ
E
z
=
ˆ
E
⊥
−
ˆ
z
k
⊥
·
ˆ
E
⊥
k
z
(17. 17.13)
17. 20. Problems 723
Finally, use ρ/ =∇
∇
∇
·E and ∇
∇
∇
×E +J
m
=−jωμH to obtain (17. 10.7).
17. 5 Pr...
Electromagnetic Waves and Antennas combined - Chapter 1 pps
... plane waves propagating in dielectrics, conductors, and birefringent me-
dia, (b) guided waves propagating in hollow waveguides, transmission lines, and optical
fibers, and (c) propagating waves ... jωD is the total current in the right-hand side of Amp
`
ere’s law and
accounts for both conducting and dielectric losses. The time-averaged version of Poynt-
ing’s theorem is discu...
Electromagnetic Waves and Antennas combined - Chapter 2 potx
... other.
Examples of such waves are the evanescent waves in total internal reflection, various
guided-wave problems, such as surface waves, leaky waves, and traveling-wave antennas.
The most famous ... forward-moving)
E
(z)= A(
ˆ
x +j
ˆ
y)e
−jkz
(left-polarized, forward-moving)
E
(z)= A(
ˆ
x −j
ˆ
y
)e
jkz
(left-polarized, backward-moving)
E
(z)= A(
ˆ
x
+j
ˆ
y
)e
jkz
(right-polarized, b...
Electromagnetic Waves and Antennas combined - Chapter 3 ppt
... (180 km/hr) veloc-
ity resolution at a 3-GHz carrier frequency, would require
B = 5 MHz and T = 1 msec,
resulting in the large time-bandwidth product of
BT = 5000.
Such large time-bandwidth products ... quadrature weights and points
h = - wp^2 * tf * J1over(wp*sqrt(x.^2 - tf^2)) .* exp(j*w0*(t(i)-x));
Ez(i) = exp(j*w0*(t(i)-tf)) + w’*h;
% exact output
Es(i) = exp(j*w0*t(i)-j*k0*tf...
Electromagnetic Waves and Antennas combined - Chapter 4 pdf
... appropriate linear combinations. For
example, we define the right-polarized (forward-moving) and left-polarized (backward-
moving) waves for the
{E
+
,H
+
} case:
E
R+
=
1
2
E
+
−jηH
+
E
L+
=
1
2
E
+
+jηH
+
E
+
= ... wavenumber k
+
and
backward with
k
−
, and the reverse is true of the E
−
(z) component. The forward-moving
component of
E
+
and the backward-moving component...
Electromagnetic Waves and Antennas combined - Chapter 5 ppt
... half-wave, (c) layer-1 is quarter- and layer-2 half-wave, and (d) layer-1
is half- and layer-2 quarter-wave. Show that the reflection coefficient at interface-1 is given
by the following expressions ... (5.2.3) and (5.2.4).
5.3. Reflected and Transmitted Power 159
5.3 Reflected and Transmitted Power
For waves propagating in the z-direction, the time-averaged Poynting vector has only...
Electromagnetic Waves and Antennas combined - Chapter 6 potx
... Structures
r=
-0 .1000 -0 .2000 -0 .4000 0.5000
A=
1.0000 1.0000 1.0000 1.0000
-0 .1000 -0 .1200 -0 .2000 0
-0 .0640 -0 .1000 0 0
-0 .0500000
B=
-0 .1000 -0 .2000 -0 .4000 0.5000
-0 .1880 -0 .3600 0.5000 0
-0 .3500 0.5000 ... as bandstop or bandpass filters.
Quarter-wave phase-shifted fiber Bragg gratings act as narrow-band transmission
filters and...
Electromagnetic Waves and Antennas combined - Chapter 7 potx
... as
p-polarization, π-polarization, or TM po-
larization, the electric fields lie on the plane of incidence and the magnetic fields are
Fig. 7.1.1 Oblique incidence for TM- and TE-polarized waves.
7.1. ... k
2
0
(n
2
−n
2
sin
2
θ) is negative and k
z
becomes pure imaginary.
In this case, the real-parts in the right-hand side of Eq. (7.16.8) are zero, showing that
|ρ
TE
|=|ρ
TM
|=1 an...
Electromagnetic Waves and Antennas combined - Chapter 8 pdf
... = sqrt((r(1)^2*(1-r(2)*r(3))^2 - (r(2)-r(3))^2)/(4*r(2)*r(3)*(1-r(1)^2)));
de2 = acos(c);
G2 = (r(2)+r(3)*exp (-2 *j*de2))/(1 + r(2)*r(3)*exp (-2 *j*de2));
de1 = (angle(G2) - pi - angle(r(1)))/2;
if ... (degrees)
F
1
, F
2
TE and TM bandwidths
TM band
TE band
Fig. 8.8.6 TM/TE bandgaps versus angle for n
H
= 3, n
L
= 1.38 and n
H
= 2, n
L
= 1.38.
We note that the TE band...
Electromagnetic Waves and Antennas combined - Chapter 9 potx
... the values quoted in Table 9.6.1 for the
C-band and X-band waveguides, WR-159 and WR-90.
Example 9.8.2: WR-159 Waveguide. Consider the C-band WR-159 air-filled waveguide whose
characteristics ... 12.50 X 250 kW 0.110
WR-62 0.622 0.311 9.49 11.90 18.00 Ku 140 kW 0 .176
WR-42 0.42 0 .17 14.05 17. 60 26.70 K 50 kW 0.370
WR-28
0.28 0.14 21
.08 26.40 40.00 Ka 27 kW 0.583
WR-15 0.148 0.074...
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