Here's an Atlantic article
on a radiation burst problem that occurs when a ship drops out of warp. The physics paper is here
They examined particle velocities and how those particles would transit the warp field, and some particles remain along for the ride, gathering energy during the entire flight and releasing it in a burst. The obvious solution I see is to slightly modulate the warp field so the particles don't remain in a stable position indefinitely. Lt. Cdr Data or Jordi probably did that all the time.