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Circuit-slide-6 - Standing Wave Patterns In practical...

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Standing Wave Patterns In practical applications it is very convenient to plot the magnitude of phasor voltage and phasor current along the transmission line. These are the standing wave patterns:
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The standing wave patterns provide the top envelopes that bound the time-oscillations of voltage and current along the line. In other words, the standing wave patterns provide the maximum values that voltage and current can ever establish at each location of the transmission line for given load and generator. The standing wave pattern gives a clear representation of wave interference in a transmission line. The patterns present a succession of maxima and minima which repeat in space with a period of length λ /2 , due to constructive or destructive interference between forward and reflected waves. The patterns for a loss-less line are periodic in space, repeating exactly with a λ /2 period . Again, note that although we talk about maxima and minima of the standing wave pattern we are always examining a maximum of voltage or current that can be achieved at a transmission line location during any period of oscillation.
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We limit now our discussion to the loss-less transmission line case where the generalized reflection coefficient varies as Note that the magnitude of an exponential with imaginary argument
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Circuit-slide-6 - Standing Wave Patterns In practical...

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