So the root of the failure is the proximity of the coil to the disturbance in the magnetic field? I want to reverse the orientation, magnets at the coils and a rail or pole pieces at the center, which should make a standard sidewinder. If that works then it seems to imply that magnetic transference is directional, although I may be reading that wrong.Hello tidbits;
Yes, you are generally right, with one clarification. There really isn't a primary and secondary magnetic field. It's one magnetic field, which surrounds the group of magnets and pole pieces. The size and shape and power of the field is a summation of the size, shape, power, and pole orientation of the magnets.
The whole idea of a magnetic pickup is that the strings pass through one end of the magnetic field, and the coil of teeny wire is positioned nearby, within the field. When the string wiggles, it makes the field wiggle, which creates a tiny wiggling electrical current in each turn of the wire in the coil. Multiply that times several thousand turns, and a wiggling audio signal comes out of the coil. Which is a pretty close match to the wiggling of the string.
If the output signal is weak, it means that something isn't getting enough wiggling. The string may not be immersed enough in the field, and not making it wiggle. Or, the coils may not be immersed in the field enough to detect the wiggling.
My other wonder is whether there is some sort of disruptive effect caused by the close proximity of the magnet sides/bottom pole to the coils. Is it possible this is causing a cancellation of the signal from the long rod magnets?
I guess the primary question is, if you had two single spools of a multi-coil pickup, one with the magnet protruding 1/8” and one protruding 1/2”, both placed 1/8” under a vibrating string, would the output be different, all else being equal?