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Spatio-temporal shaping of electron beams is a bold frontier in electronmicroscopy, enabling new routes toward spatial-resolution enhancement,selective probing, low-dose imaging and faster data acquisition. Over the lastdecade, shaping methods evolved from passive phase plates to low-speedelectrostatic and magnetostatic displays. Recently, higher shaping speed andflexibility have become feasible by the advent of ultrafast electronmicroscopy, embodying a swift change of paradigm that relies on using light tocontrol free electrons. Here, we experimentally demonstrate that arbitrarytransverse modulation of electron beams is possible without the need fordesigning and fabricating complicated electron-optics elements or materialnanostructures, but rather resorting to shaping light beams reflected from aplanar thin film. We demonstrate arbitrary transverse modulation of electronwavepackets via inelastic interaction with a shaped ultrafast light fieldcontrolled by an external spatial light modulator (SLM). We illustrate thismethod by generating Hermite-Gaussian (HG) electron beams with HG10 and HG01symmetry and discuss their possible use in enhancing the imaging contrast ofmicroscopic features. Relative to current schemes, our approach adopting anexternal SLM dramatically widens the range of patterns that can be imprinted onthe electron wave function and makes electron shaping a much easier task toperform.

Ultrafast Transverse Modulation of Free Electrons by Interaction with Shaped Optical Fields