论文标题
关于使用Kramer-Kronig关系的复杂电磁介电常数函数外推的可行性
On feasibility of extrapolation of the complex electromagnetic permittivity function using Kramer-Kronig relations
论文作者
论文摘要
我们研究了基于其分析性能的复杂电磁介电常数函数外推的可靠性。给定两个分析函数，代表相同实验数据的外推物，我们检查了它们在外推点外的频率带外的外推点可能有所不同。就弗雷德霍尔姆类型的积分方程的解决方案而言，我们在最坏情况下的推断误差上给出了尖锐的上限。我们猜想并提供数值证据，表明该结合表现出功率定律精度恶化，因为一个人远离包含测量数据的频段。
We study the degree of reliability of extrapolation of complex electromagnetic permittivity functions based on their analyticity properties. Given two analytic functions, representing extrapolants of the same experimental data, we examine how much they can differ at an extrapolation point outside of the experimentally accessible frequency band. We give a sharp upper bound on the worst case extrapolation error, in terms of a solution of an integral equation of Fredholm type. We conjecture and give numerical evidence that this bound exhibits a power law precision deterioration as one moves further away from the frequency band containing measurement data.
