论文标题
定量非线性逆散射的基本方程式的智能重写
Smart Rewritings of the Basic Equations for Quantitative Non-Linear Inverse Scattering
论文作者
论文摘要
相互作用引起的非线性是在反向散射中解决的两个主要困难之一。在本文中,我们在共同的理由下审查和描述文献中引入的一些方法是为了抵消非线性。特别是,我们专注于Lippman Schwinger基本方程的可能重写,以减少反向散射问题的非线性程度。详细说明,通过强调相似性和差异来讨论和比较三种不同的重写,并以相同的重写精神来总结和讨论虚拟实验框架。然后,针对数值示例介绍,讨论和测试了上述概念的一些可能的联合剥削。
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 in literature in order to counteract nonlinearity. In particular, we focus on possible rewritings of the Lippman Schwinger basic equation such to reduce the degree of nonlinearity of inverse scattering problem. In detail, three different rewritings are discussed and compared by emphasizing similarities and the differences, and in the same rewriting spirit, we also summarize and discuss the Virtual Experiments framework. Then, some possible joint exploitations of the above concepts are introduced, discussed and tested against numerical examples.