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Density oscillations of confined one-dimensional Fermi gases of contactrepulsive interactions in a continuous space are discussed withinBethe-ansatz-based spin-density-functional theory. The results are comparedagainst the exact analytical and the exact diagonalization method. For anunpolarized system, the number of peaks in the density profiles is doubled,signaling the crossover of the 2k_F-Friedel to 4k_F-Wigner oscillations (withkF being the Fermi wave vector). For both unpolarized and polarized systems, athreshold of the short-range interaction strength can be found where Nf-peakWigner oscillations of a 4k_F wave vector appear in the density profile (N_f isthe total particle number).

2kF-Friedel to 4kF-Wigner oscillations in one-dimensional Fermi gases under confinement