A study on the ideal magnitude and phase of reconstructed point targets in SAR imaging

In this paper, the magnitude and phase of the reconstructed point targets in SAR imaging are studied quantitatively by using inverse crime. Two scenarios, one with single point target in the imaging area and the other with two point targets, are considered. The theorems on the magnitude and phase are established and proved for each scenario. In addition, several numerical examples are presented and the numerical results show that they agree with the corresponding theorems. This study is useful for appreciating the limitations of formulating inversion algorithms based on simplistic point target building blocks.