Walter Maxwell wrote:
Remember I said earlier that V1 + V2 yields the standing wave, not forward
voltage Vfwd?
Dr. Best's V1 + V2 are moving in the same direction toward the load
and do NOT yield the standing wave. You have misunderstood what he
was trying to say (which is super easy to do).
Dr. Best's V1 is proportional to the S-parameter term, s21(a1)
The only difference is that all S-parameter voltages are normalized
to the square root of Z0.
Dr. Best's V2 is proportional to the S-parameter term, s22(a2)
Consider this easy-to-understand generalized example.
XMTR---Z01---x---1/2WL Z02---load=Z01
VF1-- VF2--
--VR1 --VR2
VF1 is the forward voltage in the Z01 section. VF2 is the forward
voltage in the Z02 section. VR1 is the reflected voltage in the
Z01 section. VR2 is the reflected voltage in the Z02 section.
RHO is the physical reflection coefficient and TAU is the physical
transmission coefficient which is equal to (1+RHO) at an impedance
discontinuity.
Dr. Best's V1 = VF1(TAU) His V2 = VR2(RHO)
Dr. Best's V1 is the part of VF1 that makes it through the impedance
discontinuity (coming from the source side). It is traveling toward
the load.
Dr. Best's V2 is the reflected voltage re-reflected from the match
point. It is also traveling toward the load.
V1 and V2 superpose into VF2 which Dr. Best calls VFtotal. And that
is indeed what happens. That Dr. Best was somewhat incapable of
explaining the equation is his fault, not yours. His explanations
were so obtuse, I'm not sure he understood them himself. He certainly
didn't recognize the classical interference equations as such.
--
73, Cecil
http://www.qsl.net/w5dxp
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