Quantitative Non-Linear Inverse Scattering: A Wealth of Possibilities Through Smart Rewritings of the Basic Equations

Nonlinearity arising from mutual interactions is one of the two main difficulties to be addressed in inverse scattering. In this paper, we review and describe under a common rationale some approaches which have been introduced literature order counteract nonlinearity. particular, focus on possible rewritings Lippman Schwinger basic equation such reduce degree nonlinearity scattering problem. detail, three different are discussed compared by emphasizing similarities differences, same rewriting spirit, also summarize discuss Virtual Experiments framework. Then, joint exploitations above concepts introduced, tested against numerical examples.