Abstract: Aiming at the problem of electromagnetic scattering calculation and synthetic aperture radar (SAR) imaging simulation of electrically large scenes, the geometric modeling of the wake of a straight and turning ship on the sea surface is realized based on the Kelvin ship wave and the integral domain transform method. The electromagnetic scattering characteristics of the built models are solved by using the SBR algorithm. On this basis, the shooting and bouncing ray(SBR) algorithm electromagnetic scattering calculation is combined with the SAR frequency domain echo signal model by the range-frequency domain coherent superposition method. The echo signal is focused by BP imaging algorithm based on GPU multi-core parallel acceleration, and then SAR images of ship wake on the sea surface under different polarization conditions are generated. As a result, the SAR image of electrically large complex scene can be quickly generated. The operation time is greatly improved compared with the single CPU multi-core parallel back projection(BP) algorithm, and the speedup reaches 431.4. The generated SAR image can clearly present the detail information such as the wake contour and the wind direction texture of the sea surface, and has good image quality. The contribution of SBR multiple scattering to SAR image quality is fully utilized. The research results can provide theoretical support for applications such as intelligent recognition and detection of ship wakes on the sea surface.