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Hey Cecil,
The superposition of waves which are equal in amplitude and out of phase equals zero at any time t. There is no time t in the steady state when reflected waves to the left of the discontinuity can exist. The whole point of the exercise is to prevent reflections. You're proposing that the reflection is first allowed, and then it gets cancelled, but not really cuz then it has to turn around somehow and go back the other way. Let it drop man. ac6xg Cecil Moore wrote: Jim Kelley wrote: You mean that bit about how you think the waves first move in the reflected direction a little tiny bit and THEN cancel? Yes, you do need to rethink that. If they're equal in amplitude and opposite in phase, there's cancellation - at any value of t. In other words, the waves are prevented from reflecting. They don't reflect first, then disappear. If they don't reflect first and then disappear, they don't exist at all. But we know that reflected waves indeed exist and through deduction can see how they must exist or else cause-and-effect is violated. So your assertion that they never existed in the first place is riddled with contradictions that I am unable to resolve. So I ask again for the umteenth time. Given the rearward-traveling reflected wave from the mismatched load encountering the match point, exactly what turns that energy and momentum around and causes it to flow back toward the load in the opposite direction? If not wave cancellation, then what? You simply cannot have it both ways. If the canceled waves don't exist before they are cancel, they never existed at all and therefore wave cancellation cannot exist at all. What you propose is clearly a violation of cause-and-effect. |
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