Photoluminescence
of composites containing carbon nanostructures
is critical for many modern applications. Of particular significance
are metamaterials capable of generating white light photoluminescence
within a single structure, as the white luminescence usually needs
separate red–green–blue emitters. This work provides
an insight into the photoluminescent properties of a promising family
of hierarchical metamaterials made of carbon nanocones in a silicon
oxide matrix in view of their use as efficient single-layer white
light emitters. The composites were prepared using a facile plasma-enhanced
technology, followed by a thermal treatment. ATR-FTIR, Raman, SEM,
and AFM microscopy and profilometry characterization confirmed the
presence of silica and carbon nanocones. The advanced comprehensive
photoluminescence studies conducted using solid-state Yb:KGW laser
revealed a significant difference in photoluminescent properties for
the composites containing sharp nanocones of similar parameters. A
comprehensive morphological analysis performed using several analytical
techniques including the 2D fast Fourier transform spectra, Hough
distributions, spectral density function, and Minkowski functionals
revealed the Minkowski boundary functional, ordering, and connectivity
to be the most important morphological descriptors for the photoluminescent
response. This study suggests that these morphological parameters
play a critical role in defining the key properties of advanced metamaterials
via the overlap of Ψ functions and may therefore be targeted
for informed material design and intelligent fabrication.