  A new model has been developed to estimate the dielectric constant of the
lunar surface using Synthetic Aperture Radar (SAR) data. Continuous
investigation on the dielectric constant of the lunar surface is a high
priority task due to future lunar mission's goals and possible exploration of
human outposts. For this purpose, derived anisotropy and backscattering
coefficients of SAR images are used. The SAR images are obtained from Miniature
Radio Frequency (MiniRF) radar onboard Lunar Reconnaissance Orbiter (LRO).
These images are available in the form of Stokes parameters, which are used to
derive the coherency matrix. The derived coherency matrix is further
represented in terms of particle anisotropy. This coherency matrix's elements
compared with Cloud's coherency matrix, which results in the new relationship
between particle anisotropy and coherency matrix elements (backscattering
coefficients). Following this, estimated anisotropy is used to determine the
dielectric constant. Our model estimates the dielectric constant of the lunar
surface without parallax error. The produce results are also comparable with
the earlier estimate. As an advantageous, our method estimates the dielectric
constant without any apriori information about the density or composition of
lunar surface materials. The proposed approach can also be useful for
determining the dielectric properties of Mars and other celestial bodies.
