1. A method of producing a synthetic aperture (SAR) image, the method executed at a SAR imaging system, the method comprising: receiving, from a SAR antenna arrangement, SAR return signals; based upon the SAR return signals, providing a set of SAR phase histories; at a fine resolution image former of the SAR imaging system, using all phase histories of the set to produce a first pixel array having range and azimuth dimensions and having a first azimuth resolution; at a coarse resolution image former of the SAR imaging system, using less than all phase histories of the set to produce a second pixel array having range and azimuth dimensions and having a second azimuth resolution that is coarser than the first azimuth resolution; and at a combiner of the SAR imaging system, combining the first and second pixel arrays to produce a third pixel array that has range and azimuth dimensions and defines a SAR image.