Ambiguities in the scattering tomography for central potentials
Ambiguities in the scattering tomography for central potentials
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DOI：
10.1103/physrevlett.97.073902
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发表时间：
2006-08-18
影响因子：
8.6
通讯作者：
Leonhardt, Ulf
中科院分区：
文献类型：
--
作者：
Hendi, Awatif;Henn, Julian;Leonhardt, Ulf
隐形装置利用了介质中光的逆散射问题的模糊性。散射也是推断物质结构信息的重要通用工具。我们阐明了中心势中出现的散射模糊性的本质。我们证明散射是一种层析投影：积分散射角是散射函数在冲击参数上的投影。该函数取决于电势，但可以是多值的，从而允许多个电势共享相同散射数据的情况存在歧义。此外，多值散射角也会导致歧义。我们应用我们的理论来证明，原则上可以构造一个没有无限光相速度的隐形装置。
Invisibility devices exploit ambiguities in the inverse scattering problem of light in media. Scattering also serves as an important general tool to infer information about the structure of matter. We elucidate the nature of scattering ambiguities that arise in central potentials. We show that scattering is a tomographic projection: The integrated scattering angle is a projection of a scattering function onto the impact parameter. This function depends on the potential but may be multivalued, allowing for ambiguities where several potentials share the same scattering data. In addition, multivalued scattering angles also lead to ambiguities. We apply our theory to show that it is, in principle, possible to construct an invisibility device without infinite phase velocity of light.