Roy Lewallen wrote:
When such evidence (not including
typical Cecil-style hand-waving, but real numbers) is presented, I'll be
glad to point out where it's in error.
OK Roy, here's your chance. From the previous example:
--43.4 deg 600 ohm line--+--10 deg 100 ohm line--open
Vfor1--|--Vfor2 Vf--|
Vref1--|--Vref2 Vr--|
Given Vf = 100 volts at 0 deg.
Vfor2 = 100 volts at -10 deg
Vref2 = 100 volts at +10 deg
Vfor2 = tau1*Vfor1 + rho2*Vref2 = 100 volts at -19 deg
Solving for Vfor1 = 143.33 volts at -46.6 degrees
Vref1 = rho1*Vfor1 + tau2*Vref2 = 143.33 volts at +46.6 deg
Note that the two above equations are equivalent to
the s-parameter equations:
b1 = s11*a1 + s12*a2 and b2 = s21*a1 + s22*a2
--
73, Cecil
http://www.w5dxp.com