利用等离子体光谱数据重建小天体的精细细节
Reconstructing fine details of small objects by using plasmonic spectroscopic data
摘要：
本文研究了由远场测量数据重建小目标的逆问题。由于衍射极限和低的信噪比，反问题是不适定的。我们提出了一种新的方法来解决这种类型的逆问题的基础上从等离子体传感的想法。通过利用场与已知等离子体激元粒子的相互作用，可以将小物体的精细细节信息编码为远场两粒子系统共振频率的偏移。在中间的相互作用制度，我们表明，这一信息正是广义极化张量与小物体，从中可以执行重建。我们的理论研究结果得到了各种数值结果的补充。本文的结果也为等离子体传感提供了数学基础。
英文摘要：
This paper is concerned with the inverse problem of reconstructing a small object from far field measurements. The inverse problem is severally ill-posed because of the diffraction limit and low signal to noise ratio. We propose a novel methodology to solve this type of inverse problems based on an idea from plasmonic sensing. By using the field interaction with a known plasmonic particle, the fine detail information of the small object can be encoded into the shift of the resonant frequencies of the two particle system in the far field. In the intermediate interaction regime, we show that this information is exactly the generalized polarization tensors associated with the small object, from which one can perform the reconstruction. Our theoretical findings are supplemented by a variety of numerical results. The results in the paper also provide a mathematical foundation for plasmonic sensing.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
