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Old April 5th 07, 04:29 AM posted to rec.radio.amateur.antenna
Walter Maxwell Walter Maxwell is offline
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First recorded activity by RadioBanter: Jul 2006
Posts: 233
Default Convert reflection coefficient to Z

On Thu, 05 Apr 2007 02:21:06 GMT, Owen Duffy wrote:

"Wayne" wrote in
news:0CYQh.11100$P84.5052@trnddc07:

OK, I used to be able to do this years ago, but I can't seem to find
the right references now.

If an antenna reflection coefficient is measured at, for example.
0.333 at -100 degrees, how is Z calculated? I think I can do this
with a smith chart, but the result does not match my attempted
calculations.

TIA
Wayne



The expression for Gamma that springs to mind is (Zl-Zo)/(Zl+Zo).

Rearranging the terms gives Zl=-Zo(Gamma+1)/(Gamma-1) doesn't it?

Owen


Owen, l just now sent Wayne the equations from Chipman, using the eq editor in Word.

In case others would like the equations I'll try to format them here without the Word editor.

R/Zo = (1 - rho squared)/(1 + rho squared - 2 rho cos phi)

X/Zo = (2 rho sin phi)/(1 + rho squared - 2 rho cos phi)

Walt, W2DU