Variation of Γv - wykład

Variation of Γ v ( z ) with position Taking into account the variation of forward and backward waves with position we have
Γv(z) =
Vreγz
Vfe−γz = Γv(0)e2γz (2.53)
When z = L, i.e. at the load, we denote Γv by Γv(L), the reflection factor of the load.
When z = S, i.e. at the source, we denote Γv by Γv(S), the reflection factor looking into
the line at the source end. From equation 2.53, then
Γv(S)
Γv(L)
=
e2γS
e2γL = e−2γ(L−S) = e−2γl (2.54)
It may be worth emphasising that in equation 2.53 the exponent on the right hand
side is positive, whereas in equation 2.54 the exponent on the right hand side is negative.
Both of these signs correctly express the fact that the voltage reflection factor becomes
retarded in phase as we move back from the load.
It will hopefully be explained in lectures that this behaviour is as expected, and can be
used as an aid to memory of the sign of the exponents in equation 2.53 or equation 2.54.
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