That may work, but not sure how it will affect the interaction of the bifilar pair if it is directly between them.
Conductors 1, 2 and 3. Current on 1 and 3 going the same direction. The signal on 3 is a delayed copy of 1. Resistive load and scope probe on 2.
The idea is 3 is a delayed copy of 1. This creates angular velocity between them (very much like circular polarization of a radio signal coming from the same signal sent out dipole perpendicular to one another.)
Any time you send a rotating signal round and along the length of a conductor, with a electric bias, or a length of dielectric, holding a static charge, with the correct pitch, a current will be generated (not classically induced) through that path. This is how I believe large currents can be generated in a short piece of wire being used as a coil core.
Basically, you are building the reciprocal of a current carrying wire.
A little primer on truly 'active' antenna systems (denied by most, even the ones incorporating it):
We all look at the wave on a scope and consider the energy between the zero line and the trace (DC pulses, other types not crossing zero, just to keep it simple).
What about the energy being displaced by your scope signal? Look at it in the inverse, like a photo-negative.
With the right pulse width and delay between pulses(of the same signal) you are creating a displacement frequency(don't know what else to call it).
The short story: That 11mHz burst was probably the energy of a distant transmitter. One you would not hear with a conventional receiver. Your delay isn't very steady, at these resolutions. The slightest variation in delay will cause a frequency drift across a radio band.
A 'DELAY' of 20ns should get you around 50mHz. 90ns, around 11mHz. 160ns, around 7mHz. You are increasing the Q of the coil and shifting that massive increase in Q up and down between HF and lower VHF.
The secret of truly active antennae is the injected, high current signal is NOT a copy of the received signal but the spatio-temporal inverse of it.
Your coil isn't likely generating these frequencies. You are sucking them in.
I was dead serious when I said you invented an energy sucking antenna.
OOPS!
I forgot.... I'm already known as nutty as a fruit-cake