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

作者：Wang, Wei; Li, Jianbing^*; Niu, Fengliang

来源：Microwave and Optical Technology Letters, 2012, 54(12): 2792-2797.

DOI：10.1002/mop.27161

• Lippmann-Schwinger integral equation
• Born approximation
• method of stationary point
• operator theory

The Born approximation is a widely used technique in (inverse) scattering problems to alleviate the difficulty of solving the LippmannSchwinger 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 LippmannSchwinger 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.

• 出版日期2012-12
• 单位中国人民解放军国防科学技术大学