A detector coil is not an antenna in the classical radio sense; it is part of a transformer circuit. Radio antenna considerations (quarter wavelength, etc) do not apply.
I think what Nomad is asking about is frequency tuning. In narrowband detectors (single frequency), the transmit and receive coils are often tuned (resonated) to the frequency of the detector. This makes coil operation more power-efficient, and it cuts down on noise. In wideband detectors (including multi-frequency) this can't be done.
Since the TX and RX coils are inductors, tuning is done by placing a capacitor in parallel with the coils. Some manufacturers put the cap inside the coil housing, some put it inside the control box. The transmit coil is usually tuned exactly to the detector frequency; if it's off a little, then power efficiency won't be optimal, no big deal. The receive coil is usually tuned somewhat off of the detector frequency to make the phase response linear. It can also vary a bit with no ill effects. This means that there is some leeway in tuning, which is good because coil inductances vary from coil-to-coil.
You could take a coil and more finely tune it to the detector, but I don't think you will see any practical benefit unless the tuning is way off. This could happen if the tuning cap went bad.
- Carl