We consider a new computational method, for the solution of the inverse scattering problem of profile reconstruction for an impenetrable obstacle. The technique is iterative, and is based on the well known null field method for direct scattering problems. We direct our attention to the determination of the obstacle boundary, although the method can be extended to determine the spatial variation of refractive index for a certain class of penetrable obstacle.
D. J. N. Wall,
T. S. Yeo,
R. H . T . Bates,
"Inverse Scattering And The Null Field Method", Proc. SPIE 0558, Inverse Optics II, (25 October 1985); doi: 10.1117/12.949568; https://doi.org/10.1117/12.949568