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The Complete Smith Chart
                                                                                                                                                                                                                                                            Black Magic Design

                                                                                                                                                                                                                                                                                              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
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                                                                                                                                                                                                                                          /Yo




                                                                                                                                                                                                                                                                                                                                                                                              1.6
                                                                                                                                                                                                                                                                                                                                                                                                                                                           0.1
                                                                                                                                                  0.0
                                                                                                                                                         7
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                                                                                                                                                                                                                                                                                                                                                                                                                1.8
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                                                                                                                                                                                                                                                                                                                                                                                                                                                    50
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                                                                                                                                                                  0                                         SC
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                                                                                                                                                                                                                                                                                                                                                                                                                            2.0
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                               0.
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                19
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   0.2
                                                                                                     0.0




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                                                                                                                                                                                                                                                                                                                                                                                                                                                                          20




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          0.3
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     0.2
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                                                                                                                          0.3
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                                                                                               6




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   0.2

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         1
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   30
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              9
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                                                                                                                                                                                                                                                                                                                                            0.8                                                                                                                                                15
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         4.0
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                                                                                                                                                                                                                                                                                                                                                     1.0




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        0.22
                                                                                                                   AC
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                                                                                  0.47




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            0.28
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                                                                                                      0.2
                                                                              160




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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       20
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                                                                                                                                                                                                                                                                                                                                       8
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   0.23
                                                                                                      IND
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                                                                     0.48




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    0.27
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                                                                                                                                                                                                                                                                                                                             0.6




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                                                                                          0.1
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                0.24
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 0.26
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  REFLECTION COEFFICIENT IN DE
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    20
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        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




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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             0.25

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             0.25
                                             ± 180
                                               0.0




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     50
                                                                                                                                   RESISTANCE COMPONENT (R/Zo), OR CONDUCTANCE COMPONENT (G/Yo)
                                        D <—




                                                                                                                                                                                                                                                                                                               0.2
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    20
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        0.24
                                   0.49




                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         0.26
                                                                                                                                                                                                                                                                                                                     0.4
                                70




                                                                                          0.1




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                                                                                                                                                                                                                                                                                                                                                  1.0
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   5.0
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             0.22
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         0.28
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                                                                                                                                                                                                                     0                                                                                                                                                                                              -60       0.1
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                                                                                                                                                                                    0.0                                                                                                                                                                                                                                      7
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                                                                                                                                                                               2                                                                                                                                                                                                    -35                                                0.3
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                                                                                                                                                                                                               9                                                                                                                                                                   -70
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                                                                                                                                                                                                                                                                                                         -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 ]
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     . C K SS [ SS C [dB




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                                                                        ∞ 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
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Qll Communications

  • 1. The Complete Smith Chart Black Magic Design 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 E (+jB 30 8 3 NC 0.3 0.4 TA 1.8 EP 0.2 2 50 65 0 SC 13 SU 2.0 E 0.5 IV 06 0. IT 25 19 0. AC 44 0. AP 31 0. C 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 0.2 160 IVE 20 85 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 170 0.1 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) D <— 0.2 20 RD LOA 0.24 0.49 0.26 0.4 70 0.1 DEGR A -1 GREE 10 S TOW EES 0.6 -90 S 0.23 o) 0.48 0.27 H jB/Y NGT 8 0. E (- -10 ELE 160 -85 -20 NC 0.2 V 1.0 - WA 5.0 TA 0.22 7 0.28 0.4 EP 1.0 <— SC SU -15 -80 4.0 0.8 -15 VE 4 0.2 TI 0 -30 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. CE 2.0 -5 30 AN 0 -65 -1 CT 0.1 7 EA 0.2 1.8 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 ∞