Determination of band structure from the intra-band power spectrum of high harmonic generation in crystal

We show that the intra-band power spectrum of high-harmonic generation (HHG) in crystal can be directly used for the determination of crystalline band structure. This study is complementary to a recent all-optical inter-band gap reconstruction exclusively from the inter-band HHG spectrum. Our numerical calculations, based on a one-dimensional single-band model, demonstrates how the band structure can be determined accurately from the intra-band HHG spectrum, even with a poor initial guess of band structure and under the uncertainty of laser amplitude. The same scheme can be extended for the determination of multi-band structure directly from the practically mixed inter-/intra-band crystalline HHG spectrum.