Previous observations have shown spatial covariances between microwave
emission from Antarctic firn at 6 cm wavelength, physical firn temper
ature and firn-density stratification. Such observations motivate us t
o understand the physics underlying such covariances and, based on the
understanding, to develop estimation methods for firn temperature and
layering parameters. We present here a model for 6 cm emission from f
irn in which density, and therefore dielectric permittivity, varies ra
ndomly in discrete layers with mean thicknesses on the order of centim
eters. The model accounts for depth profiles of the physical temperatu
re, mean density and variance of random density fluctuations from laye
r to layer. We also present a procedure to estimate emission-model inp
ut parameters objectively from in situ density-profile observations, a
s well as uncertainties in the input parameters and corresponding unce
rtainties, as well as uncertainties in the input parameters and corres
ponding uncertainties in theoretical brightness-temperature prediction
s. We compare emission-model predictions with ground-based observation
s at four diverse sites in Antarctica which span a range of accumulati
on rates and other parameters. We use coincident characterization data
to estimate model inputs. At two sites, layered-medium emission-model
predictions based on the most probable input parameters (i.e. with no
model tuning) agree with observations to within 3.5% for incidence an
gles less than or equal to 50 degrees. Corresponding figures for the o
ther two sites are 7.5% and 10%. However, uncertainties in the input p
arameters are substantial due to the limited length and depth resoluti
on of the characterization data. Uncertainties in brightness-temperatu
re predictions are correspondingly substantial. Thus brightness-temper
ature predictions for the last-mentioned sites based on only slightly
less probable input parameters are also in close agreement with observ
ations. The significance of agreements and discrepancies could be clar
ified using characterization measurements with finer depth resolution.