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Accelerating beams completely rely on interference: coherent superposition of waves. In spite of that fundamental feature, we demonstrate, experimentally and theoretically, partially-spatially-incoherent nonparaxial accelerating beams.

We show that shaping the initial wavefunction of a multi-electron system can lead to electron beams displaying shape-preserving propagation in spite of the inherent repulsion among electrons. This idea suggests applications in microscopy and lithography.

We present non-paraxial shape-preserving accelerating electromagnetic wavepackets propagating in micro-sized curved surfaces, revealing exotic trajectories and polarization rotation dynamics caused by the interplay of interference effects and the curvature of space.

We show that a structure of alternating dielectric layers with deep subwavelength thicknesses exhibits novel transmission effects that depend on the order of the layers and on nanometer scale variations of the layer widths.

A recent experiment confirmed the 35 years old prediction of Airy-shaped electron beams that accelerate in the absence of any potential. Yet their most intriguing property remained unclear: will such electrons emit radiation in free-space?

We find the Cherenkov radiation emitted by vortex electrons, and show that a properly designed photonic waveguide can increase the angular momentum of the electrons. We calculate the selection rules in a relativistic quantum formalism.

We develop holographic methods to generate arbitrarily-shaped light intensity distributions inside photonic crystals slabs, through shaping the electromagnetic field launched at the facets of the crystal. The technique can be generalized to any photonic structure.

We introduce loss-proof shape-invariant nonparaxial accelerating beams that overcome both diffraction and absorption, and demonstrate their use in acceleration of microparticles inside liquids along curved trajectories that are significantly steeper than ever achieved.