Jamison, S.P. JACoW Publishing Geneva, Switzerland Dielectric laser accelerators have shown very high accelerating gradients but the phase space that can be captured is very small due to the short wavelength. Moving to THz frequencies could potentially allow larger bunches to be captured and accelerated. Here the THz is generated via Cherenkov radiation in a non-linear dielectric from a laser pulse. Two schemes are proposed either by accelerating in a dielectric waveguide or by creating a travelling focus in the THz allowing direct acceleration.