Question

Write out simple definitions in words and equations for the following:

a. a1
b. b1
c. S11
d. S12
e. S21
f. S22

Answer 1

a) a1 : This is the incident voltage at port 1

b) b1 : This is the deflected voltage at port 1 ;

b1 =
`S_(21) a_(1) + S_(22) a_(2)`

c) S11 ; This is the input port voltage reflection coefficient when the input voltage is at port 1

S11 =
`(V1^-)/(V1^+) |v2^+=0`

d) S12 : this is the gross voltage gain

S12 =
`(V1^-)/(V2^+)| v1 ^+`

e) S21 : This is the forward voltage gain

S21 =
`(V2^-)/(V1^+) | v2^+`

f) S22 : output port voltage reflection coefficient

S22 =
`(v2^-)/(v2^+) | v1^+ = 0`
`(v2^-)/(v2^+) | v1^+ = 0`

Step-by-step explanation:

a) a1 : This is the incident voltage at port 1

b) b1 : This is the deflected voltage at port 1 ;

b1 =
`S_(21) a_(1) + S_(22) a_(2)`

c) S11 ; This is the input port voltage reflection coefficient when the input voltage is at port 1

S11 =
`(V1^-)/(V1^+) |v2^+=0`

d) S12 : this is the gross voltage gain

S12 =
`(V1^-)/(V2^+)| v1 ^+`

e) S21 : This is the forward voltage gain

S21 =
`(V2^-)/(V1^+) | v2^+`

f) S22 : output port voltage reflection coefficient

S22 =
`(v2^-)/(v2^+) | v1^+ = 0`
`(v2^-)/(v2^+) | v1^+ = 0`