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We demonstrate second and third harmonic generation from a GaP substrate500{\mu}m thick. The second harmonic field is tuned at the absorption resonanceat 335nm, and the third harmonic signal is tuned at 223nm, in a range where thedielectric function is negative. These results show that a phase lockingmechanism that triggers transparency at the harmonic wavelengths persistsregardless of the dispersive properties of the medium, and that the fieldspropagate hundreds of microns without being absorbed even when the harmonicsare tuned to portions of the spectrum that display metallic behavior.

Third Harmonic Generation at 223nm in the Metallic Regime of GaP