PARAMETER  CONVERSIONS

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S-, H-, Y-, Z-, ABCD- PARAMETER CONVERSIONS
 
S11 =  (Z11-1)·(Z22+1)-Z12·Z21   =  (1-Y11)·(1+Y22)+Y12·Y21   =  (h11-1)·(1+h22)-h12·h21   =  A+B-C-D   =  T21
(Z11+1)·(Z22+1)-Z12·Z21 (1+Y11)·(1+Y22)-Y12·Y21 (1+h11)·(1+h22)-h12·h21 A+B+C+D T11
                   
S12 =  2·Z12   =  -2·Y12   =  2·h12   =  2·(A·D-B·C)   =  T11·T22-T12·T21
(Z11+1)·(Z22+1)-Z12·Z21 (1+Y11)·(1+Y22)-Y12·Y21 (1+h11)·(1+h22)-h12·h21 A+B+C+D T11
                   
S21 =  2·Z21   =  -2·Y21   =  -2·h21   =  2   =  1
(Z11+1)·(Z22+1)-Z12·Z21 (1+Y11)·(1+Y22)-Y12·Y21 (1+h11)·(1+h22)-h12·h21 A+B+C+D T11
                   
S22 =  (Z11+1)·(Z22-1)-Z12·Z21   =  (1+Y11)·(1-Y22)+Y12·Y21   =  (1+h11)·(1-h22)+h12·h21   =  -A+B-C+D   =  -T12
(Z11+1)·(Z22+1)-Z12·Z21 (1+Y11)·(1+Y22)-Y12·Y21 (1+h11)·(1+h22)-h12·h21 A+B+C+D T11
A =  (1+S11)·(1-S22)+S12·S21  =  Z11  =  -Y22  =  h12·h21-h11·h22  =  T11+T12+T21+T22
2·S21 Z21 Y21 h21 2
                   
B =  (1+S11)·(1+S22)-S12·S21  =  Z11·Z22-Z12·Z21  =  -1  =  -h11  =  T11+T21-T12-T22
2·S21 Z21 Y21 h21 2
                   
C =  (1-S11)·(1-S22)-S12·S21  =  1  =  Y12·Y21-Y11·Y22  =  -h22  =  T11+T12-T21-T22
2·S21 Z21 Y21 h21 2
                   
D =  (1-S11)·(1+S22)+S12·S21  =  Z22  =  -Y11  =  -1  =  T11-T21-T12+T22
2·S21 Z21 Y21 h21 2
Z11 =  (1+S11)·(1-S22)+S12·S21   =  Y22   =  h11·h22-h12·h21   =  A   =  T11+T12+T21+T22
(1-S11)·(1-S22)-S12·S21 Y11·Y22-Y12·Y21 h22 C T11+T12-T21-T22
                   
Z12 =  2·S12   =  -Y12   =  h12   =  A·D-B·C   =  2·(T11·T22-T12·T21)
(1-S11)·(1-S22)-S12·S21 Y11·Y22-Y12·Y21 h22 C T11+T12-T21-T22
                   
Z21 =  2·S21   =  -Y21   =  -h21   =  1   =  2
(1-S11)·(1-S22)-S12·S21 Y11·Y22-Y12·Y21 h22 C T11+T12-T21-T22
                   
Z22 =  (1-S11)(1+S22)+S12·S21   =  Y11   =  1   =  D   =  T11-T21-T12+T22
(1-S11)·(1-S22)-S12·S21 Y11·Y22-Y12·Y21 h22 C T11+T12-T21-T22
Y11 =  (1-S11)·(1+S22)+S12·S21   =  Z22   =  1   =  D   =  T11-T21-T12+T22
(1+S11)·(1+S22)-S12·S21 Z11·Z22-Z12·Z21 h11 B T11-T12+T21-T22
       
Y12 =  -2·S12   =  -Z12   =  -h12   =  B·C-A·D   =  -2·(T11T22-T12T21)
(1+S11)·(1+S22)-S12·S21 Z11·Z22-Z12·Z21 h11 B T11-T12+T21-T22
       
Y21 =  -2·S21   =  -Z21   =  h21   =  -1   =  -2
(1+S11)·(1+S22)-S12·S21 Z11·Z22-Z12·Z21 h11 B T11-T12+T21-T22
       
Y22 =  (1+S11)·(1-S22)+S12·S21   =  Z11   =  h11·h22-h12·h21   =  A   =  T11+T12+T21+T22
(1+S11)·(1+S22)-S12·S21 Z11·Z22-Z12·Z21 h11 B T11-T12+T21-T22