electrons, as well as new optical elements for high-sensitivity imaging. Here, we
demonstrate for the first time programmable transverse electron-beam shaping in free space
based on ponderomotive potentials from short intense laser pulses. We can realize both
convex and concave electron lenses with a focal length of a few millimeters, comparable to
those in state-of-the-art electron microscopes. We further show that we can realize almost …