A revisit to the validity of born approximation in high frequency scattering problems

The Born approximation is a widely used technique in (inverse) scattering problems to alleviate the difficulty of solving the Lippmann–Schwinger integral equation, but its validity is not well defined, in particular for high frequency cases. Based on applying the stationary phase method and operator theory to the Lippmann–Schwinger integral equation, the high order scattered fields ignored by the Born approximation are well estimated, and then a new validity criterion for the Born approximation is proposed. Compared to conventional criteria, the new one excels in its less restriction and better prediction of the relative error for the approximate technique, especially when a nonuniform scatterer is under consideration. © 2012 Wiley Periodicals, Inc. Microwave Opt Technol Lett 54:2792–2797, 2012; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.27161

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