In synthetic-aperture radar (SAR), the radar signal, recorded as an interferogram, exhibits a defect known as range curvature. The two dimensions of the interferogram are coupled and cannot be processed separately, leading to image degradation. Two variations of a method of correcting for range curvature are presented. They both involve the insertion of a cylindrical lens or lenses near the region of the Fourier-transform plane of a standard tilted-plane SAR processor. Variable tilt of the lens(es) controls the amount of correction. In the presence of pointing errors of the SAR antenna, an extra cross-coupling factor is introduced. It is corrected by a simple rotation of the range-curvature corrector.