Radio-bright, presumably young supernova remnants offer the opportunity of
studying strong-shock physics and the nature of the interaction of ejected
material with the surrounding medium. The relation between radio and X-ray
morphology varies considerably among supernova remnants, with important imp
lications for the physics of the emission processes at different wavelength
s. We use Very Large Array (VLA) and Roentgen Satellite (ROSAT) images of t
he radio-bright supernova remnant 3C 397 (G41.1-0.3) to examine the shock s
tructure in both thermal X-ray emission and nonthermal radio emission. The
unusual rectangular morphology can be seen in VLA maps at 20 and 6 cm wavel
ength at a resolution of 6" and in ROSAT HRI images. The:X-ray images resem
ble the radio strongly, except for a small, possibly unresolved X-ray hot s
pot near the center. There is no variation in the X-ray hardness ratio from
ROSAT Position Sensitive Proportional Counter data across the remnant, sug
gesting that at least between 0.4 and 2 keV the interior emission is not di
fferent in character from that in the bright shell regions. The remnant is
unpolarized at 20 cm and has a mean fractional polarization of 1.5% +/- 0.1
% at 6 cm. The polarized flux, and polarized fraction, peak inside the remn
ant at a location not coincident with either an internal maximum in total-i
ntensity radio emission or with the X-ray hot spot. Spectral index maps bet
ween 6 and 20 cm do not show any systematic differences associated with int
erior emission; there appears to be no "plerionic" dr pulsar-driven compone
nt in 3C 397, at least as normally characterized by high polarization and a
flat radio spectrum. Spectral index values spread about the mean by about
Delta alpha similar to 0.2, a result consistent with previous work. The ste
ep total-intensity profile off the southwest edge of 3C 397 allows an infer
ence of the upstream electron diffusion coefficient and implies a mean free
path for electron scattering shorter than in the general interstellar medi
um but longer than that similarly inferred for Tycho and SN 1006. A simple
analysis based on the observed X-ray flux gives an estimate of the mean den
sity in 3C 397 of about 4 cm(-3), which would also be enough to depolarize
the 20 cm emission completely, as observed. The remnant age is then of orde
r 10(3) yr, and the current shock velocity is about 1600 km s(-1). Finally,
we speculate on possible mechanisms producing the X-ray hot spot.