Time-gated, monoenergetic-proton radiography provides unique measurements of the electric (E) and magnetic (B) fields associated with laser-foil interactions, imploded inertial-confinement-fusion capsules, and laser-irradiated hohlraums. These experiments resulted in the first observations of several new and important features previously unrealized: first, observations of the generation, decay dynamics, instabilities and topology change of megagauss B fields on laser-driven planar plastic foil; second, the observation of radial E fields inside the imploding capsule which are initially directed inward, reverse direction near deceleration onset, and are likely related to the evolution of the electron pressure gradient; third, the observation of many radial filaments with complex electromagnetic field striations, permeating the entire field of view, and fourth, the observation of dynamic E field associated with laser-irradiated gold hohlraums. The physics behind and implications of such observed fields are discussed.