Does an antenna tuner remove standing waves from a transmission line ?
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https://ham.stackexchange.com/questions/9044/what-is-an-antenna-tuner-why-bother-with-resonant-antennas-in-the-first-place has a really good explanation. TL;DR: no – Chris K8NVH Sep 04 '19 at 10:22
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I'm assuming that your tuner is at the shack end of the transmission line, and not at the antenna feedpoint? The answer depends on knowing this. – Mike Waters Sep 04 '19 at 15:04
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That is correct. – Andrew Sep 07 '19 at 00:18
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An antenna matching network (aka "tuner") does not affect the conditions of the load (antenna) or the transmission line between the load and the matching network. The matching network transforms the impedance "looking into" the transmission line to a more desirable value, typically 50$\Omega$ for ham applications.
If the network manages to achieve such a "perfect match," then there will be no standing waves on the transmission line between the transmitter and the matching network and there will be no additional mismatch loss in that line. This is the primary reason that "remote tuners" have gained some popularity in the marketplace.

Brian K1LI
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1The tuner does change the reflection coefficient at the transmitter end of the line, which certainly does change the conditions on the line... – Phil Frost - W8II Sep 04 '19 at 15:17