  Power spectra of segmentation-cell length (a dominant length scale of EUV
emission in the transition region) from full-disk HeII extreme ultraviolet
(EUV) images observed by the Extreme ultraviolet Imaging Telescope (EIT)
onboard the Solar and Heliospheric Observatory (SOHO) and the Atmospheric
Imaging Assembly (AIA) onboard the Solar Dynamics Observatory (SDO) during
periods of quiet Sun conditions for a time interval from 1996 to 2015 were
analyzed. The spatial power as a function of the spatial frequency from about
0.04 to 0.27 (EIT) or up to 0.48 (AIA) 1/Mm depends on the distribution of the
observed segmentation-cell dimensions, -- a structure of the solar EUV network.
The temporal variations of the spatial power reported by Didkovsky and Gurman
(Solar Phys., 289, 153) were suggested as decreases at the mid-spatial
frequencies for the compared spectra when the power curves at the highest
spatial frequencies of 0.5 1/pix were adjusted to match each other. That
approach has been extended in this work to compare spectral ratios at high
spatial frequencies expressed in the solar spatial frequency units of 1/Mm.
Based on this approach we represent these ratio changes as a long-term network
transformation which may be interpreted as a continuous dissipation of mid-size
network structures to the smaller-size structures in the transition region. In
contrast to expected cycling of the segmentation-cell dimension structures and
associated spatial power in the spectra with the solar cycle, the spectra
demonstrate a significant and steady change of the EUV network. The temporal
trend across these structural spectra is not critically sensitive to any
long-term instrumental changes, e.g. degradation of sensitivity, but to the
change of the segmentation-cell dimensions of the EUV network structure.
