itzikhaim said:
some reminder formulas:
RL=-20log|Γ|
Γ=(Z-Z0)/(Z+Z0) which is the reflection coeff.
Bye,
Itzik
and I add formulas:
if z = Z/Z0 (normalized form)
Γ = (z - 1)/(z + 1)
most Smithchart using value in normalized form.
VSWR = (1 + |Γ|) / (1 - |Γ|)
|Γ| = (VSWR - 1) /( VSWR + 1); scalar version of reflection cofficient
VSWR is time to time refered in (old) litterature and impossible to make resistive and reactive value from, depend of missing phase angle information. This 'view' also using in scalar network analyzer and IMHO more or less useless.
and backward operation if you have know Γ and know Z0 from measure process.
z = (1 + Γ) / (1 - Γ)
Z = z * Z0
or using Z = Z0((1 + Γ) / (1 - Γ))
all Z0, Z,z and Γ can be complex numbers
Real part of Z is a resistive Ohm, if imaginary part have negative sign, is a capacitive reactance Xc (without '-' sign) and with know measure frequency can calculates: C = 1/(2*π*f*Xc) in Farad
If imaginary part of Z is positive, is a inductive reactance Xl and with know measure frequency calculates: L = Xl/(2*π*f) in Henry