"Dave Shrader" wrote in message
...
I wonder if the velocity factor, i.e. length, in the dipole would be
affected by the dielectric constant of the PCB?

Absolutely. Also the loss factor.

I know that in microstrip transmission lines the Vf is inversely
proportional to the square root of the dielectric. This would be an
antenna with two different dielectrics; one, air: second PCB.

Yes

An alternative to etching the antenna, leaving copper for the antenna,
would be to etch the antenna away leaving the remainder of the copper
and tuning it as a 'Slot' antenna. This might have promise!

Monopole, Yagi, LPDA and Patch are all commonly done on pcb material.