Inverting the spherical Radon transform for 3D SAR image formation

In this paper, we show how image formation or reconstruction in synthetic aperture radar (SAR) in three dimensions can be viewed as the inversion of the spherical Radon transform. The advantage of viewing image formation in this way is that it could be used in situations where more standard methods could fail, such as high squint and ultra-wideband SAR. We build upon previous work by others and ourselves on the circular Radon transform in two dimensions to develop inversion formulae for the spherical Radon transform that employs Hankel and Fourier transforms along with coordinate mappings. We extend the theory to include finite bandwidth signals and finite synthetic apertures.