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Laser powered dielectric structures achieve high-gradient particleacceleration by taking advantage of modern laser technology capable ofproducing electric fields in excess of 10GV/m. These fields can drive the bulkdielectric beyond its linear response, and break the phase synchronicitybetween the accelerating field and the electrons. We show how control of thepulse dispersion can be used to compensate the effect of self-phase modulationand maximize the energy gain in the laser accelerator.In our experiment, a highbrightness 8MeV e-beam is used to probe accelerating fields of 1.8GV/m in a'grating-reset' dielectric structure illuminated by a 45fs laser pulse with afluence of 0.7J/cm$^2$.

Nonlinear response in high-field dielectric laser accelerators