A new method to accurately reconstruct a synthetic aperture radar comp
lex image starting from raw received data whose phase is affected by p
ropagation in the turbulent atmosphere and/or by motion instability of
the platform carrying out the antenna is presented. It is based on th
e inversion of the, nonlinear relationship between the raw data square
amplitude distribution and the unknown complex reflectivity of the sc
enario. The unknown complex reflectivity is found by minimising a prop
er functional using the partial phase information carried out by the p
hase-corrupted raw data as the initial guess of an iterative procedure
. The method, which is capable of compensating for both 1-D and 2-D ph
ase errors, has been validated on both simulated data and real data wh
ose phase has been corrupted by a simulated phase error. The considera
ble accuracy of the final images proves the effectiveness of the propo
sed procedure.