After probing the ring more carefully, I found the field is better described by the attached modified image. The green arrows show the field further from the magnet. Note the areas directly above and below the hole where the yellow and green direction arrows are tip to tip and tail to tail...
Magnet Phenomenon: The "divergent" region of a ring magnet
Here's a puzzler:
I have a NdFeB ring magnet, 1.75" outer diameter x 1.375" inner diameter x 0.25" thick, N40 grade. It is axially magnetized so that the north pole is toward one face and the south pole is toward the opposite face. The...