We present a three-dimensional radiative transfer model to examine the effe
cts of resonance-line scattering in the postshock flow behind a nonradiativ
e supernova remnant shock. For a rippled shock front viewed edge-on, line s
cattering significantly reduces the observed flux of C IV lambda 1549 and N
V lambda 1240, two important diagnostic lines in the ultraviolet spectra o
f supernova remnants. The correction factor (defined to be the ratio of the
line flux that would be observed neglecting scattering to the actual obser
ved line flux) is a function of position within the filament. For sufficien
tly large regions that include crisp edges as well as more diffuse regions
of the filament structure, the C IV and N V correction factors are between
about 1.5 and 3.5 (and the C IV correction factor is invariably larger than
the N V correction factor). The correction factors have a larger range whe
n smaller regions are considered. The C IV correction factor is about 6 at
the filament edges, while the N V correction factor is about 4. These simul
ations of resonance-line scattering will be useful for the analysis of supe
rnova remnant shock spectra.