Yes, almost all RF current flows in the surface skin. It does not have time to penetrate before it reverses direction. This is the skin effect. The wave propagates close to the speed of light along the line but only at about 5 metres per second into the conductor, (=jogging speed).
You have been mislead. A transmission line can be a wire over a ground plane, or a wire over the inside of a coaxial braid, they are the same. A transmission line is a ladder of capacitors distributed continuously between the continuous inductive conductors. The conductors do not have to be equal, it is the inductance sum that is important.
What I mean is that the coax is a set of 2 transmission lines. one is a center solid copper wire, the other is braided steel. I thought their characteristic impedances were not the same, hence unbalanced, meaning the signal does not pass thru the same. Are you saying this is not correct?
The wave on the line travels in the dielectric, the conductors are like mirrors that keep the wave in the dielectric and out of the conductors.
the wave does not travel in the conductor, it travels in the dielectric? could you please point to reference material on this? I've got access to lots of journals and textbooks and want to understand better.
There is another separate transmission line between the outside of the coaxial braid and the environment, but that external line is not being driven with the same signal so is isolated from the internal line. The braid is a shield because the current in the braid is equal and opposite to the current in the core. The resulting magnetic fields cancel outside the line.
The internal signal will not leak through the braid because it must be accompanied by the equal and opposite current on the core, that current cannot flow through the dielectric so it keeps the braid current as close as possible, the inside of the braid.
I thought it couldn't leak because the Electric Field won't pass thru the braid? if you had a 2 inner conductor coax and the shield as ground and the inner 2 conductors were the + and -, the signal still won't leak, right?
It may not be used for the short signal runs you have encountered where there is no cost advantage. It takes more hardware to separate the TX and RX signals at the two ends so it is founsd where coaxial cable or optic fibre is used for undersea cables or telephone trunk lines.
To demonstrate the independent two way signals in a lab you will need a roll of coax with a hybrid coupler of some sort at each end. The line will need to be matched to the couplers to prevent reflections.