Physical optics farfield inverse scattering in the time domain

TLDR: In this paper, an alternative form of Bojarski's POFFIS identity for impulsive point sources was derived for sources of arbitrary time dependence, where the characteristic function is equal to unity in the region occupied by the obstacle and zero elsewhere.

Abstract: The physical optics farfield inverse scattering (POFFIS) identity relates the phase‐ and range‐normalized farfield backscattering amplitude to the spatial Fourier transform of the characteristic function of the scattering obstacle. The characteristic function is equal to unity in the region occupied by the obstacle and zero elsewhere. The original identity was derived by Bojarski for impulsive point sources. Here we extend the result to sources of arbitrary time dependence. We obtain an alternative form of Bojarski’s POFFIS identity. We also derive a POFFIS identity in the time domain. Numerically synthesized checks on the method are provided.Subject Classification: [43]20.30.