A generalized diffraction tomographic (DT) algorithm is derived for su
bsurface imaging from multifrequency multi-monostatic ground penetrati
ng radar (GPR) data. The algorithm is based on the Born approximation
for vector electromagnetic scattering and incorporates realistic nearf
ield models for the receiving and transmitting antennas. The forward s
cattering model is inverted analytically using the regularized pseudoi
nverse operator to yield an algorithm for imaging the underground regi
on based on scattered field measurements at a set of receiving antenna
s. Whereas the usual inversion algorithms of DT require a lossless bac
kground medium and ideal point sources and receivers, the algorithm de
scribed here allows an attenuating background and arbitrary transmitti
ng and receiving antennas. The algorithm places no restrictions on the
radar frequency, and can thus include shallow imaging applications wh
ere the wavelengths are on the same order as the depth of buried objec
ts of interest. Versions of the algorithm are given for both the three
dimensional and the 2.5-dimensional cases. Results are given of compu
ter simulations designed to test the algorithm.