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The influence of surface plasma waves (SPW) on high harmonic generation (HHG) from the interaction of intense lasers with overdense plasma is analyzed. It is shown, that the surface waves lead to the emission of harmonics away from the optical axis. These off-axis harmonics violate the parity selection rules found from 1D models. Further, our investigations in the highly relativistic regime point towards the existence of a new SPW generation process.

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