We present a stripmap-mode raw data generator that accounts for trajectory deviations with a nonzero squint angle for an extended scene. The approach is attempted under the acquisition Doppler (AD) geometry, rather than a standard cylindrical reference system. It essentially utilizes one-dimensional azimuth Fourier domain processing, followed by range time-domain integration. As a result, the proposed algorithm is more computationally efficient compared to the time-domain method and yet maintains high accuracy. The effectiveness and efficiency of the proposed algorithm are demonstrated by numerical simulations.