Carta de Smith
Electromagnetismo. Universidad de Valladolid
0.12 0.13
0.11 0.14
0.38 0.37 0.15
0.1 0.39 0.36
90
0.4 100 80 0.35 0.1
0 .09 6
45
50
1 110 40 70 0.3
0.4
1.0
4
0.9
1.2
0.1
55
.08
0.8
0 7
35
1.4
2 0.3
0.7
0.4 0 60 3
12
0.6 60
)
/Yo
1.6
0.1
0.0
7 (+jB 30 8
CE 0.3
3 AN
0.4
1.8
PT 0.2 2
CE 50
65
0 S
13 SU
2.0
VE
0.5
06
0.
TI 25
19
CI
0.
44
0.
PA
31
0.
CA
70
R
,O 0.4
o)
0
40
14
4
5
0.
0.2
0.0
/Z
5
20
0.3
jX
0.4
(+
3.0
T
75
EN
0.6
N
PO
4
0.2
0.0
0.3
OM
0
6
0.2
1
30
15
0.4
9
EC
0.8 15
>
R—
4.0
80
NC
TO
TA
1.0
0.22
AC
ERA
0.47
0.28
5.0
RE
1.0
GEN
0.2
0
IVE
20
85
1 6
10
UCT
ARD
8
0.
0.23
IND
S TOW
0.48
0.27
ANG
90
0.6
ANG
LE OF
NGTH
10
LE OF
0
0.1
17
0.4
TRANSM
0.0 —> WAVELE
0.24
0.49
0.26
REFLECTION COEFFICIENT IN DE
20
0.2
ISSION COEFFICIENT IN
50
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.2
1.4
1.6
1.8
2.0
3.0
4.0
5.0
10
20
50
0.25
0.25
± 180
0.0
50
RESISTANCE COMPONENT (R/Zo), OR CONDUCTANCE COMPONENT (G/Yo)
AD <—
0.2
20
0.24
O
0.49
0.26
D L
0.4
70
R
0.1
DEGR
OWA
-1
G
10
RE
T
ES
EES
0.6
-90
0.23
S
)
0.48
0.27
TH
/Yo
G
(-jB
8
N
0. -10
E
CE
L
0
-85
-20
6
E
0.2
1
AV
AN
1.0
-
5.0
0.22
W
T
7
0.28
0.4
P
1.0
<—
CE
US
-15 -80
4.0
ES
0.8 -15
IV
4
0.2
0
-30
T
0.0
0.3
C
6
0.2
1
0.4
DU
9
IN
0.6
-75
R
3.0
O
),
5
Zo
-20
0.2
0.0
X/
5
4 0.3
0.4
0. (-j
40
-4
-1
0
T 0.4
EN
-70
N
PO
06
0.
19
0.
M
CO -25
44
0.
0.5
31
0.
E
2.0
30 NC -5
TA 0
-65
-1
7 AC 0.2 0.1
1.8
E
0.0 VE
R 8
0.6
ITI 0.3
3
0.4 AC -30 2
1.6
CAP
-60
0 -60 0.1
8 -12
0.7
0.0 7
1.4
2 -35 0.3
0.8
0.4 3
1.2
-55
0.9
0.1
1.0
9 -70
0.0 -110 0 6
-4
0
-5
5
0.3
-4
1
0.4 0.1 -100 -80 0.15 4
-90
0.11 0.14 0.35
0.4 0.12 0.13
0.39 0.36
0.38 0.37
O (C dB O ]
F
. C K SS [ SS C [dB
RADIALLY SCALED PARAMETERS
EF
.
N P L L EN
P)
TOWARD LOAD —> <— TOWARD GENERATOR
SW d S [d EFF , E o
RT
A W. L. W. TT
EF O ]
P T.
∞ 100 40
SM EA O O
20 10 5 4 3 2.5 2 1.8 1.6 1.4 1.2 1.1 1 15 10 7 5 4 3 2 1
F, NS
N
TR S. RF S. A
R BS B] , P r I
. L L. OE
RF L. C
O CO FF
∞ 40 30 ∞
RF
20 15 10 8 6 5 4 3 2 1 1 1 1.1 1.2 1.3 1.4 1.6 1.8 2 3 4 5 10 20
S
0 1 2 3 4 5 6 7 8 9 10 12 14 20 30 ∞ 0 0.1 0.2 0.4 0.6 0.8 1 1.5 2 3 4 5 6 10 15 ∞
I
or
E
1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.05 0.01 0 0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.5 3 4 5 10 ∞
F,
EF
O
1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 1 0.99 0.95 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0
.C
SM
CENTER
N
A
TR
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2
ORIGIN
Electromagnetismo. Universidad de Valladolid
0.12 0.13
0.11 0.14
0.38 0.37 0.15
0.1 0.39 0.36
90
0.4 100 80 0.35 0.1
0 .09 6
45
50
1 110 40 70 0.3
0.4
1.0
4
0.9
1.2
0.1
55
.08
0.8
0 7
35
1.4
2 0.3
0.7
0.4 0 60 3
12
0.6 60
)
/Yo
1.6
0.1
0.0
7 (+jB 30 8
CE 0.3
3 AN
0.4
1.8
PT 0.2 2
CE 50
65
0 S
13 SU
2.0
VE
0.5
06
0.
TI 25
19
CI
0.
44
0.
PA
31
0.
CA
70
R
,O 0.4
o)
0
40
14
4
5
0.
0.2
0.0
/Z
5
20
0.3
jX
0.4
(+
3.0
T
75
EN
0.6
N
PO
4
0.2
0.0
0.3
OM
0
6
0.2
1
30
15
0.4
9
EC
0.8 15
>
R—
4.0
80
NC
TO
TA
1.0
0.22
AC
ERA
0.47
0.28
5.0
RE
1.0
GEN
0.2
0
IVE
20
85
1 6
10
UCT
ARD
8
0.
0.23
IND
S TOW
0.48
0.27
ANG
90
0.6
ANG
LE OF
NGTH
10
LE OF
0
0.1
17
0.4
TRANSM
0.0 —> WAVELE
0.24
0.49
0.26
REFLECTION COEFFICIENT IN DE
20
0.2
ISSION COEFFICIENT IN
50
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.2
1.4
1.6
1.8
2.0
3.0
4.0
5.0
10
20
50
0.25
0.25
± 180
0.0
50
RESISTANCE COMPONENT (R/Zo), OR CONDUCTANCE COMPONENT (G/Yo)
AD <—
0.2
20
0.24
O
0.49
0.26
D L
0.4
70
R
0.1
DEGR
OWA
-1
G
10
RE
T
ES
EES
0.6
-90
0.23
S
)
0.48
0.27
TH
/Yo
G
(-jB
8
N
0. -10
E
CE
L
0
-85
-20
6
E
0.2
1
AV
AN
1.0
-
5.0
0.22
W
T
7
0.28
0.4
P
1.0
<—
CE
US
-15 -80
4.0
ES
0.8 -15
IV
4
0.2
0
-30
T
0.0
0.3
C
6
0.2
1
0.4
DU
9
IN
0.6
-75
R
3.0
O
),
5
Zo
-20
0.2
0.0
X/
5
4 0.3
0.4
0. (-j
40
-4
-1
0
T 0.4
EN
-70
N
PO
06
0.
19
0.
M
CO -25
44
0.
0.5
31
0.
E
2.0
30 NC -5
TA 0
-65
-1
7 AC 0.2 0.1
1.8
E
0.0 VE
R 8
0.6
ITI 0.3
3
0.4 AC -30 2
1.6
CAP
-60
0 -60 0.1
8 -12
0.7
0.0 7
1.4
2 -35 0.3
0.8
0.4 3
1.2
-55
0.9
0.1
1.0
9 -70
0.0 -110 0 6
-4
0
-5
5
0.3
-4
1
0.4 0.1 -100 -80 0.15 4
-90
0.11 0.14 0.35
0.4 0.12 0.13
0.39 0.36
0.38 0.37
O (C dB O ]
F
. C K SS [ SS C [dB
RADIALLY SCALED PARAMETERS
EF
.
N P L L EN
P)
TOWARD LOAD —> <— TOWARD GENERATOR
SW d S [d EFF , E o
RT
A W. L. W. TT
EF O ]
P T.
∞ 100 40
SM EA O O
20 10 5 4 3 2.5 2 1.8 1.6 1.4 1.2 1.1 1 15 10 7 5 4 3 2 1
F, NS
N
TR S. RF S. A
R BS B] , P r I
. L L. OE
RF L. C
O CO FF
∞ 40 30 ∞
RF
20 15 10 8 6 5 4 3 2 1 1 1 1.1 1.2 1.3 1.4 1.6 1.8 2 3 4 5 10 20
S
0 1 2 3 4 5 6 7 8 9 10 12 14 20 30 ∞ 0 0.1 0.2 0.4 0.6 0.8 1 1.5 2 3 4 5 6 10 15 ∞
I
or
E
1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.05 0.01 0 0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.5 3 4 5 10 ∞
F,
EF
O
1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 1 0.99 0.95 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0
.C
SM
CENTER
N
A
TR
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2
ORIGIN
