Hi Ron,
Yes, that’s a quirky result. I like using it as an example because it stretches our common understanding of coax loss.
Here’s an example from my article on measuring coax loss:
I wanted to measure the loss of 15m of RG-174 coax at 1 MHz. The common method is to measure the return loss with the far end open or shorted, and divide that by two. That accounts for the coax loss up the cable to the far end, and then back again, with 100% reflection. We used that method professionally for measuring the losses of striplines in test fixtures. (You can do this also by measuring the SWR instead, and converting it to return loss.)
With the far end open, the return loss was 0.5 dB. That would indicate a coax loss of 0.25 dB.
With the far end shorted, the return loss was 3.7 dB, for a cable loss of 1.85 dB.
That’s for the same piece of cable, at the same frequency. And, no, that’s not just measurement error: I get similar results from a reputable cable loss calculator (although the measurements are pushing the accuracy of the equipment).
At 1 MHz, virtually all the losses in the cable are due to the AC resistance of the conductors. In the short circuit case, current is maximum at end of the cable, and there is no corresponding current minimum because the cable is too short. Thus, the average current is greater, causing higher losses through the conductor resistance. When terminated with an open circuit, current is minimum at the end of the cable, and there is not corresponding maximum, so the average current is lower, for less loss. The Matched Line Loss is based on the current in the matched case, which is constant along the cable.
In this case, averaging the two readings gives a matched line loss of just over 1 dB, or 2.1 dB / 30m. The datasheet for Belden 8216 shows 1.9 dB / 30m, which is in pretty good agreement, given that I used that particular piece of coax when wandering around Aus as VK2DJW back in 1980, and am still using it with various portable antennas.
So that’s an example where, for a short cable (less than 1/8 wavelength), the loss could be less than the Matched Line Loss when terminated in a high impedance.
That’s not to say that I would want to operate with such a feedline, as there would be additional losses in the needed impedance matching, and other feedline choices would have lower losses. (Twinlead would be more efficient for a high impedance antenna.)
By the way, AC6LA’s TLDetails program gives both conductor and dielectric losses for each type of feedline, if you want to see how they vary with frequency.
73,
Dale WB6BYU