  The propagation-effects reshaping the excitation pulse are known to exhibit a
strong influence on the high-harmonic generation (HHG) in solid-state media.
Previous measurements showed that the mid-infrared pulse dynamics, most
importantly the nonlinear loss and spectral broadening, can dampen or even
extinguish the highest harmonic peaks. Despite the importance of these effects,
their inclusion in the HHG simulations has been so far restricted to
one-dimensional propagation and/or very thin samples. This work demonstrates an
approach where the driving pulse is simulated with a full spatial and temporal
resolution in samples of realistic thickness while the material interfaces are
included as well. We show that the HHG spectrum measured in the transmission
geometry is greatly affected by the Fresnel reflections causing interference in
the vicinity of the material surface, and we find that different parts of the
harmonic spectra originate from different regions of the material sample. Our
results underline the importance of realistic and comprehensive simulations in
the interpretation of high-harmonic generation from solids in the
transmission-geometry.
