论文标题

Kramers-Kronig关系的数值近似以转化离散的吸收数据

Numerical Approximation of Kramers-Kronig Relations to Transform Discretized Absorption Data

论文作者

Fitzgerald, Patrick D

论文摘要

Kramers-Kronig关系描述了一对整合性转换,将复杂平面中的分析函数的真实和虚构组件相关联。这些关系在提取给定物理测试物种的折射率特征方面特别有用,其中更直接的测量并不可靠。在本报告中,得出并讨论了执行此积分转换的方法。特别注意这些方法的精度,并提出了MATLAB中此方法的特定实现。

The Kramers-Kronig relations describe a pair of integral transforms relating the real and imaginary components of an analytic function in the complex plane. These relations are particularly useful in extracting refractive index characteristics of a given physical test species, wherein more direct measurements are not terribly reliable. In this report, a method of performing this integral transformation is derived and discussed. Special attention is given to the precision of these methodologies, and a specific implementation of this in Matlab is presented.

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