用于变换离散化吸收数据的 Kramers-Kronig 关系数值近似
应用物理
2020-12-07 v1
摘要
Kramers-Kronig 关系描述了一对积分变换，其关联复平面上解析函数的实部与虚部。这些关系在提取给定物理测试物质的折射率特性时尤为有用，因为更为直接的测量并不可靠。在本报告中，推导并讨论了一种执行该积分变换的方法。我们特别关注这些方法的精度，并给出了其在 Matlab 中的一种具体实现。
引用
@article{arxiv.2012.02369,
title = {Numerical Approximation of Kramers-Kronig Relations to Transform Discretized Absorption Data},
author = {Patrick D Fitzgerald},
journal= {arXiv preprint arXiv:2012.02369},
year = {2020}
}
备注
Written during mathematics capstone at Worcester Polytechnic Institute (WPI). Main paper is 15 pages, containing 8 figures, with some experimentally measured data (H2O refractive index, absorption coefficient around 1THz, collected at the Ultrafast THz and Optical Spectroscopy Lab at WPI). Remaining 16 pages contain 10 Matlab source files