Electromagnetic Waves and Antennas combined - Chapter 14 ppt
Electromagnetic Waves and Antennas combined - Chapter 14 ppt
... +
ˆ
θ
θ
θ
cos θ
(14. 8.2)
594 14. Radiation Fields
Fig. 14. 8.1 Cartesian, cylindrical, and spherical coordinates.
Fig. 14. 8.2 Spherical coordinates viewed from xy-plane and zρ-plane.
The relationships ... linspace(0,pi,Nth));
14
Radiation Fields
14. 1 Currents and Charges as Sources of Fields
Here we discuss how a given distribution of currents and charges can generate and...
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 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 15 ppt
... Eqs.
(15.3.5) and (15.3.8), we obtain:
G
max
= e
a
πd
λ
2
(15.3.9)
Antennas fall into two classes: fixed-area antennas, such as dish antennas, for
which
A is independent of frequency, and fixed-gain antennas, ... merit will be the quantities
G
RS
/T
RS
and G
RE
/T
RE
. We may
define the uplink and downlink SNR’s as the signal-to-system-noise ratios for the indi-
vidual antennas...
Electromagnetic Waves and Antennas combined - Chapter 17 pptx
... the 3-dB and first-null widths in radians and degrees:
Δθ
3dB
= 0. 5144
λ
a
=
29.47
o
λ
a
,Δθ
null
= 1.22
λ
a
=
70
o
λ
a
(17.9.5)
The 3-dB angle is
θ
3dB
= Δθ
3dB
/2 = 0.2572λ/a = 14. 74
o
λ/a and ... Stratton-Chu and Kirchhoff diffraction integral for-
mulas of Eq. (17.12.1) and (17.12.2) by using the identity (C.42) of Appendix C and replacing
∇
∇
∇
·E = 0 and ∇
∇
∇
×E =−...
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 4 pdf
... k
e
, show that D
x
= 0 and E
x
/E
y
=−j
2
/
1
.
Eq. (4.7.4) and the results of Problem 4 .14 lead to the so-called Appleton-Hartree equations
for describing plasma waves in a magnetic field ... 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
+
...
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...
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