A method and apparatus for generating high-energy beams of electrons or x-rays through laser wakefield acceleration to remotely examine containers is disclosed. By scanning the beam of electrons or x-rays across a container, an inspector can remotely determine whether the containers contain items of interest, such as special nuclear materials, without having to manually inspect the contents of the container. The invention can be compact enough to be portable, which provides for the flexibility to examine a variety of different containers under a variety of different conditions.