Question

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

Answer 1

Answer:

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 = $\frac{V1^-}{V1^+} |v2^+=0$

d) S12 : this is the gross voltage gain

S12 = $\frac{V1^-}{V2^+}| v1 ^+$

e) S21 : This is the forward voltage gain

    S21 = $\frac{V2^-}{V1^+} | v2^+$

f) S22 : output port voltage reflection coefficient

   S22 = $\frac{v2^-}{v2^+} | v1^+ = 0$$\frac{v2^-}{v2^+} | v1^+ = 0$

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 = $\frac{V1^-}{V1^+} |v2^+=0$

d) S12 : this is the gross voltage gain

S12 = $\frac{V1^-}{V2^+}| v1 ^+$

e) S21 : This is the forward voltage gain

    S21 = $\frac{V2^-}{V1^+} | v2^+$

f) S22 : output port voltage reflection coefficient

   S22 = $\frac{v2^-}{v2^+} | v1^+ = 0$$\frac{v2^-}{v2^+} | v1^+ = 0$