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Classical Physics
Dispersion relation of a transmission line - questions
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[QUOTE="marcusl, post: 5447750, member: 31593"] You are seeing the effects of aliasing, as it is called in digital signal processing. It arises in any discrete or sampled system. In the present case, you can't see a continuous sine wave travel down your transmission line model because voltage is defined (sampled) at only a finite number of points--namely across each capacitor, if it's a low-pass transmission line. For spatial frequencies above a certain maximum k_0, the pattern of sampled voltages looks the same as that for a lower frequency--that is, two values of k appear to have the same ω. As a result, there is no point in considering the upper, degenerate part of the k spectrum. It is conventional to limit the argument of sin to the range 0 to π/2. This is called the "reduced zone." [/QUOTE]
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Dispersion relation of a transmission line - questions
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