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Old February 6th 08, 01:41 AM posted to rec.radio.amateur.antenna
Keith Dysart[_2_] Keith Dysart[_2_] is offline
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First recorded activity by RadioBanter: May 2007
Posts: 492
Default Derivation of Reflection Coefficient vs SWR

On Feb 5, 2:41*pm, Cecil Moore wrote:
Keith Dysart wrote:
How does this reflected wave of 6.25 W affect the already
present forward wave of 25 W when it arrives back at the
generator. It affects it not one iota. The forward power
remains the same, the forward voltage remains the same
and the forward current remains the same. This is the
meaning of no reflection.


Maybe a more drastic example will help.

* * * * * * Rs * * * Vg * * * * * * * * * * Vl
* * * *+----/\/\/-----+----------------------+
* * * *| * *50 ohm * * * * * * * * * * * * * |
* * * *| * * * * * * * * * * * * * * * * * * /
* * * Vs * * * * * * * * 90 degrees * * * * *\ * Rl
* *100 cos(wt) * * * * * 50 ohm line * * * * / *1 ohm
* * * *| * * * * * * * * * * * * * * * * * * \ *load
* * * *| * * * * * * * * * * * * * * * * * * |
* * * *+--------------+----------------------+
* * * gnd

Current through the source: Is = 0.0392 cos(wt).
The source is supplying 1.96 watts. That is all the
power available to the entire system.

You say the forward power is 25 watts and that none
of the reflected power is reflected at the source.

How can there be 25 watts of forward power when
the source is supplying only 1.96 watts and none
of the reflected energy is joining the forward
wave?


The answer would be clear to you if you were to
complete the analysis.

Please compute:
Pfor
Pref
Vfor
Vref
at the point Vg, both before and after the
reflected wave makes it back to the point Vg.

When you find (as you will), that Pfor and Vfor
do not change when the reflected wave returns,
it should be difficult to assert that the
reflected wave is re-reflected at Vg.

If the reflected wave was re-reflected at Vg,
there would necessarily be a change to Vfor
and Pfor.

...Keith