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