Using observations from the Coronal Diagnostic Spectrometer (CDS) on SoHO a
nd the Soft. X-ray Telescope (SXT) on Yohkoh we investigate how the spatial
properties of active region emission observed in the EUV and X-ray range v
aries with temperature. We examine the contrast per unit area of the EUV em
ission from a number of active regions, and employ correlation techniques a
nd Fourier methods with which we obtain the two dimensional power spectrum
of the intensity distribution for a number of images in emission lines form
ed at different temperatures. Integrating this over polar angle we find iso
tropic power-law behaviour at all temperatures irt a number of topologicall
y different active regions, with a tendency for flatter spectra at lower te
mperatures. The existence of power-law spectra indicates that there is no p
referred length scale within the regions, at least not a resolvable one, wh
ile flatter spectra at lower temperatures indicate that the structures are
relatively smaller in this temperature range, possibly providing support fo
r the idea of a multi-component transition region (TR). Implications for va
rious heating models are discussed.