Self-consistent Maxwell–Bloch model for highorder harmonic generation in nanostructured semiconductors

In pursuit of efficient high-order harmonic conversion in semiconductor devices,modeling insights into the complex interplay among ultrafast microscopic electron–hole dynamics,nonlinear pulse propagation,and field confinement in nanostructured materials are urgently needed.Here,a self-consistent approach coupling semiconductor Bloch and Maxwell equations is applied to compute transmission and reflection high-order harmonic spectra for finite slab and sub-wavelength nanoparticle geometries.An increase in the generated high harmonics by several orders of magnitude is predicted for gallium arsenide nanoparticles with a size maximizing the magnetic dipole resonance.Serving as a conceptual and predictive tool for ultrafast spatiotemporal nonlinear optical responses of nanostructures with arbitrary geometry,our approach is anticipated to deliver new strategies for optimal harmonic manipulation in semiconductor metadevices.