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

Patrick D Fitzgerald

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arXiv · 2012.02369

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

Patrick D Fitzgerald

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Abstract

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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Patrick D Fitzgerald. 2020-12-04. Numerical Approximation of Kramers-Kronig Relations to Transform Discretized Absorption Data. https://arxiv.org/abs/2012.02369

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