'Normal mode' of course means a plain old loaded whip antenna (as opposed to 'axial mode' as typically used with satellite comms).
I suspect that technique is as old as the hills. Certainly very common in the late-1970s, early 1980s for multiband VHF/UHF scanner monopoles intended for mobile use (on cars). Radio Shack certainly sold such VHF/UHF whips with two loading coils.
Going back even further (say 1950s for example), there is less UHF and more HF & VHF. The typical VHF or UHF radios of the era wouldn't have required multiband antennas since the radios were typically not multiband capable.
Therefore, you'd probably be looking for either amateur radio or military applications in the upper end of the HF range or low VHF. Military typically wants ultra wideband (fan dipoles and various cones), but amateurs might want to cover several ham bands (20m, 15m, 10m) with one whip. But they often used traps (coils with capacitors) instead of just coils back then.
But even the Radio Shack VHF/UHF whips from the 1970/80s should be sufficient to bust any current patent (if that is what you're up to). I'm not sure that the two coils were different. but I think that they were (I remember the top coil was smaller than the bottom middle coil). And I'm not sure that they were just coils (no caps) either, but I suspect that they were just coils.
Also, I'm pretty sure that I've seen a larger 'rubber ducky' antenna (the black rubber with a BNC, or threaded screw, on the bottom) with a variable helical at some point along the way. Probably came with an early portable scanner from Radio Shack.
In summary, 1970s/1980s Radio Shack scanner antennas should be a good hunting ground.