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Anomalous phase matching through inter sub-cycle interference

Providing efficient nonlinear optical frequency conversion is essential for numerous applications. Fundamentally, dispersion limits the efficiency of such processes through mismatch of the phase velocities and the group velocities of the involved optical waves. We reveal a dispersion condition at which, surprisingly, phase and group velocity mismatch act together to provide efficient optical frequency conversion. We demonstrate this condition numerically for the process of high-harmonic-generation. This finding could be valuable to the theory and practice of nonlinear optical frequency conversion in general.