The SWR that is measured with a power meter (or SWR meter) only exists inside the coax, and only when the coax is connected between a source and load (which can be an open, short, resistor, antenna, etc...).
If the source, load, and coax are all the same impedance (matched), then the coax acts as an ideal transmission medium, which means it appears as an impedance equal to its characteristic value, and it allows maximum power transfer between the source and load. This condition is ideal and somewhat unrealistic for most installations.
If the source or load is a different value from the other, or from the characteristic imepedance of the coax, then the coax behaves as a varying impedance that is a function of its wavelength (resistive or reactive, or as a tuned filter) and the impedances connected at each end. This condition is non-ideal, but fairly common for most installations.
The VSWR is generated at the source, but is controlled by the load since the source has a fixed impedance and is very short in wavelength when compared to the signal, coax's wavelength, and antenna's wavelength.
When the antenna is tuned, the coax and antenna both appear as a load to the transmitter, and therefore when combined together they create/control the VSWR that is measured inside the coax.
So even though the antenna's actual feedpoint impedance may not be anywhere near 50 ohms resistive, it can be made to appear near this value at the transmitters output due to the coax's varying impedance properties that exist when impedances are not matched. The coax is acting as part of the load with the antenna...
The standing waves that are measured only exist inside the coax, and are constant in value along the coax's entire length, as long as the coax overall length, and transmitter output, and antenna's feedpoint do not change. Remember the definition of SWR is the maximum value of standing wave voltage or current divided by the minimum value of standing wave voltage or current that is measured within a given length of coax.
The only time that the coax length will not effect VSWR is when all impedances are matched.
The only time that the VSWR of the antenna feedpoint can be close to being measured, is when the coax is a multiple of 1/2 wavelength long, which means the same impedance is seen on both ends of the coax.
The only way to be sure though is to try a few tests...
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