We used the BIMA array to map the supernova remnant Cas A from 28 to 87 GHz
with 2 " to 7 " angular resolution. Data from 75 to 87 GHz with 19 pointin
g centers were combined with single-dish data to form a completely sampled
image. These new BIMA images were compared with VLA images at 1.5 and 5 GHz
to look for spectral index variations across Cas A. The images were spatia
lly filtered and convolved to a common sampled UV range corresponding to an
gular scales from 7 " to 95 ". The images give direct evidence for a steepe
r spectral index in the knots outside the bright ring. Analysis of the 26 b
rightest peaks gives statistical evidence for spectral index variations thr
oughout the remnant. The high-frequency spectra confirm and extend the spec
tral variations seen previously at lower frequencies. The spectra are large
ly consistent with different power laws and not curved spectra. This provid
es strong support for local variations in the acceleration of relativistic
particles in Cas A.