“…Recently, a new ultrashort-pulse laser inscription modality was proposed for hierarchical nanopatterning of bulk dielectrics [ 14 , 15 ], via self-organization of birefringent nanograting arrays ( Figure 1 ), utilizing the flexible combinations of laser wavelengths λ, pulsewidths τ, pulse energies E, focusing conditions and diverse dielectric materials—fluorite and fused silica [ 15 , 16 ]. Very surprisingly, such birefringent nanopatterns highly extended along the laser beam waist were observed in a linear (sub-filamentary) focusing regime [ 14 , 15 , 16 ], rather than along the extended non-linear (filamentary) focus of ultrashort laser pulses, possessing peak powers well above the critical one for Kerr self-focusing [ 7 , 17 , 18 ]. The self-organized hierarchical nanopatterns—periodical sub-wavelength longitudinal stacks of transverse nanogratings—were assumed to proceed via four schematic main steps: (1) formation of reflective electron-hole plasma of near-critical density in the linear focus ( Figure 1 a); (2) longitudinal interference of the reflected and incident linearly polarized pulse parts in the pre-focal region, formation of the near-plane standing electromagnetic wave and the corresponding ionization wave (plasma sheets) with the period Λ L ≈ λ/(2n) ( photonic nanostructure ) [ 14 , 15 ] ( Figure 1 a,b); (3) excitation and interference of interfacial (boundary between weakly/strongly photoexcited dielectric layers) sub-wavelength plasmons (wavelength Λ P ~ λ/n 2 ≪ λ [ 19 ]), counter-propagating along or normal to the laser polarization [ 20 ] in the pre-focal stack of the near-plane plasma sheets separated by the distance Λ L ( Figure 1 c); (4) periodical structural modification of the dielectric material and the corresponding modulation of the refractive index in the standing electromagnetic/ionization wave of the interfering plasmons (period Λ T ≈ Λ P /2, ultrafine plasmonic sub-structure of the photonic one ) [ 19 , 21 ].…”