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

2020/12/04 by Patrick D Fitzgerald, Fitzgerald, Patrick D
Chemistry · Engineering · Physics and Astronomy · #Applied Physics (physics.app-ph) #FOS: Physical sciences #Spectroscopy and Laser Applications #Spectroscopy and Quantum Chemical Studies #Terahertz technology and applications

paper · pdf · doi:10.48550/arxiv.2012.02369

openalex publication_date 2020/12/04 · openalex created_date 2020/12/21 · openalex updated_date 2026/07/28

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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