Electromagnetic Waves and Antennas combined - Chapter 1 pps
Electromagnetic Waves and Antennas combined - Chapter 1 pps
... that:
σ =
Ne
2
mγ
=
(
8.4 × 10
28
) (1. 6 × 10
19
)
2
(9 .1 × 10
− 31
)(4 .1 × 10
13
)
= 5.8 × 10
7
Siemens/m
where we used e = 1. 6 × 10
19
, m = 9 .1 × 10
− 31
, γ = 4 .1 × 10
13
. The plasma frequency
of ... formula [14 7], where λ and λ
i
are in units of
μm:
n
2
= 1 +
0.69 616 63 λ
2
λ
2
−(0.0684043)
2
+
0.4079426 λ
2
λ
2
−(0 .11 62 414 )
2
+
0.8974794 λ
2...
Electromagnetic Waves and Antennas combined - Chapter 2 potx
... application of Eq. (2 .11 .13 ) to S
a
and S
b
gives:
f
a
= f
1 −β
a
1 +β
a
,f
b
= f
1 −β
b
1 +β
b
⇒ f
b
= f
a
1 −β
b
1 +β
b
·
1 +β
a
1 −β
a
(2 .11 .14 )
where
β
a
= v
a
/c and β
b
= v
b
/c. This ... 59
(1 −jτ)
1/ 2
=
⎧
⎪
⎨
⎪
⎩
1 −j
τ
2
, if τ 1
e
−jπ/4
τ
1/ 2
= (1 − j)
τ
2
, if τ 1
(2.6.29)
(1 −jτ)
1/ 2
=
⎧
⎪
⎪
⎨
⎪
⎪
⎩
1 +j
τ
2
, if τ 1
e
j...
Electromagnetic Waves and Antennas combined - Chapter 3 ppt
... vac
0 1 3 4
0
1
z/a
t =0
0 1 3 4
0
1
z/a
t =40
0 1 3 4
0
1
z/a
t =12 0
0 1 3 4
0
1
z/a
t =18 0
0 1 3 4
0
1
z/a
t =220
0 1 3 4
0
1
z/a
t =230
0 1 3 4
0
1
z/a
t =240
0 1 3 4
0
1
z/a
t =250
0 1 3 4
0
1
z/a
t ... 3 4
0
1
z/a
t = 12 0
0 1 3 4
0
1
z/a
t =−50
vac abs vac gain vac
0 1 3 4
0
1
z/a
t =0
0 1 3 4
0
1
z/a
t =40
0 1 3 4
0
1
z/a
t =12 0...
Electromagnetic Waves and Antennas combined - Chapter 4 pdf
... (4.7.9)
n
3
n
1
cos
2
θ +
n
1
n
3
sin
2
θ =
n
1
n
3
N
2
(4.7 .10 )
n
2
1
n
2
3
sin
2
θ +
n
2
3
n
2
1
cos
2
θ =
n
2
1
+n
2
3
−N
2
N
2
(4.7 .11 )
sin
2
θ =
1 −
n
2
1
N
2
1 −
n
2
1
n
2
3
, cos
2
θ =
1 −
n
2
3
N
2
1 ... have
a
1
= 1 and a
2
= 0, correspond-
ing to
α
1
= 0 and α
2
=∞. Typical values of the attenuations for commercially available
polaroids are of t...
Electromagnetic Waves and Antennas combined - Chapter 5 ppt
... (5.4.9):
E
1
H
1
=
cos k
1
l
1
jη
1
sin k
1
l
1
jη
1
1
sin k
1
l
1
cos k
1
l
1
E
2
H
2
=
cos k
1
l
1
jη
1
sin k
1
l
1
jη
1
1
sin k
1
l
1
cos k
1
l
1
cos k
2
l
2
jη
2
sin k
2
l
2
jη
1
2
sin ... Γ
1
and denoting z
1
= e
2jk
1
l
1
, z
2
= e
2jk
2
l
2
,we
eventually find:
Γ
1
=
ρ
1
+ρ
2
z
1
1
+ρ
1
ρ
2
ρ
3
z
1
2
+ρ
3...
Electromagnetic Waves and Antennas combined - Chapter 6 potx
... Structures
r=
-0 .10 00 -0 .2000 -0 .4000 0.5000
A=
1. 0000 1. 0000 1. 0000 1. 0000
-0 .10 00 -0 .12 00 -0 .2000 0
-0 .0640 -0 .10 00 0 0
-0 .0500000
B=
-0 .10 00 -0 .2000 -0 .4000 0.5000
-0 .18 80 -0 .3600 0.5000 0
-0 .3500 0.5000 ... 1, we have A
2
(z)= 1 and B
2
(z)= ρ
2
. Then, Eq. (6.6 .19 ) gives:
A
1
(z)
B
1
(z)
=
1 ρ
1...
Electromagnetic Waves and Antennas combined - Chapter 7 potx
... ε
2r
>ε
1
, we have
ε
1
+ε
2
=
√
ε
1
−ε
2r
= j
√
ε
2r
−ε
1
, and
ε
1
ε
2
=
√
−ε
1
ε
2r
= j
√
ε
1
ε
2r
. Then, Eqs. (7 .11 .5) read
k
x
= k
0
ε
1
ε
2r
ε
2r
−ε
1
,k
z1
=−j
k
0
ε
1
√
ε
2r
−ε
1
,k
z2
=−j
k
0
ε
2r
√
ε
2r
−ε
1
(7 .11 .7)
7 .11 . ... +cos
2
θ
=
n
2
1 +
cos θ −β
1 −β cos θ
2
, or,
n cos
θ
t
=
(n
2
1) (1 −β cos θ)
2
+(cos θ −β...
Electromagnetic Waves and Antennas combined - Chapter 8 pdf
... 1. 63, 1. 63]
(b)
n = [1. 54, 1. 54, 1. 63], n
= [1. 5, 1. 5, 1. 5]
(c)
n = [1. 8, 1. 8, 1. 5], n
= [1. 5, 1. 5, 1. 5]
(d)
n
= [1. 8, 1. 8, 1. 5],
n
= [1. 56, 1. 56, 1. 56]
8 .11 . Brewster and Critical Angles ... n
L
= [1. 57, 1. 57, 1. 57].
The angle of incidence was
θ
a
= 0
o
. The typical MATLAB code was:
LH = 0.25; LL = 0.25;
na = [1; 1; 1] ;
nb = [1; 1; 1] ;...
Electromagnetic Waves and Antennas combined - Chapter 9 potx
... 6.56 8.20 12 .50 X 250 kW 0 .11 0
WR-62 0.622 0. 311 9.49 11 .90 18 .00 Ku 14 0 kW 0 .17 6
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 -1 5 0 .14 8 0.074 ... 0
(9 .1. 4)
9 .11 . Dielectric Slab Waveguides 389
1
k
c
H
1
cos k
c
a =
1
α
c
H
2
e
−α
c
a
and
1
k
c
H
1
cos k
c
a =−
1
α
c
H
3
e
−α
c
a
(9 .11 .10 )
Eqs....
Electromagnetic Waves and Antennas combined - Chapter 10 pdf
... AWG a Z
RG-6/U 18 0. 512 75
RG-8/U
11 1. 150 50
RG -1 1 /U 14 0. 815 75
RG-58/U 20 0
.406 50
RG-59/U 22 0.322 75
RG -1 7 4/U 26 0.203 50
RG- 213 /U 13 0
. 915 50
The most commonly used cables are 5 0- ones, ... V
L
(t)
1
0
1
+2.25[0.4
1
]= 1. 90 1. 5
1
+2.25[0.4
1
+0.4
2
]= 2.26 1. 5 [1 +0.4
1
]= 2 .10
1
+2.25[0.4
1
+0.4
2
+0.4
3
]= 2.40 1. 5( [1 +0.4
1
+0.4
2
]...
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