| Density profile of free electron Fermi gas of surface crunch-in plasmonic mode, reproduced from \cite{plasmonic-3D}, in a tube with equilibrium conduction band density, $n_e$ in the tube walls of $n_t = \rm 2 \times 10^{22}cm^{-3}$. The snapshot is at $\mathrm{20\mu m}$ ($\sim$ 73fs) of interaction of a $\sigma_z\mathrm{=400nm}$, $\sigma_r\mathrm{=250nm}$ beam with tube. The tube has a vacuum-like core of radius, $r_t\mathrm{=100nm}$ (nearly flat-top beam limit, $\sigma_r= 2.5\times r_t$). The beam envelope (in orange) although initially larger than the tube has undergone self-focusing approaching ultra-solid densities. |