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Dielectric laser acceleration of electrons close to a fused-silica gratinghas recently been observed (Peralta et al., Nature 503, 91 (2013); Breuer,Hommelhoff, PRL 111, 134803 (2013)). Here we present the theoreticaldescription of the near-fields close to such a grating that can be utilized toaccelerate non-relativistic electrons. We also show simulation results ofelectrons interacting with such fields in a single and double grating structuregeometry and discuss dephasing effects that have to be taken into account whendesigning a photonic-structure-based accelerator for non-relativisticelectrons. We further model the space charge effect using the paraxial rayequation and discuss the resulting expected peak currents for various parametersets.

Dielectric laser acceleration of electrons in the vicinity of single and double grating structures - theory and simulations