Fig. 3: Sensitivity of HHG to structural helicity of quartz and surface-ferromagnetic order of MgO.

a, b Difference signal of two intensity-normalized spectrograms recorded with opposing helicities of the driving field generated in (a) quartz(0001) and (b) MgO(100). For single helicity spectrograms cf. Fig. 1d and Supplementary Fig. S2. c, d Lineouts of the on-resonance harmonic difference signal in (c) quartz and (d) MgO. The solid lines represent a fit based on calculations of the circular dichroism (fit parameters are the chiral energy splitting \({\boldsymbol{\Delta }}{\boldsymbol{E}}\), and the effective interaction length \({\boldsymbol{\delta }}\)). e, f Normalized intensity of right-handed-circularly (blue, RHC) and left-handed-circularly (red, LHC) polarized harmonics in (e) quartz and (f) MgO. The solids lines represent the calculated circular dichroism. Lineouts are taken at an angle of θ = 120° in the case of quartz and averaged over all angles for MgO.