Kramers-Kronig analysis of biological skin

TL;DR

This paper applies Kramers-Kronig analysis to biological skin, deriving its complex refractive index across a broad frequency range using empirical data and electromagnetic theory.

Contribution

It introduces a novel application of Kramers-Kronig analysis to biological tissue, integrating water's role and empirical data for comprehensive optical characterization.

Findings

Complex index of refraction of skin from DC to x-ray frequencies

Empirical absorption data for biological skin and water

Dispersion index derived via Hilbert transform

Abstract

A treatise on the optical property of biological tissue is presented. Water is postulated to be a topological basis and serves to discriminate published skin data. Electromagnetic theory governing dielectric behavior is concisely detailed pertaining to certain optical constants and Kramers-Kronig relation. The Kramers-Kronig relation defining dispersion index is emulated through the discrete Hilbert transform. An accrued absorption set is populated with empirical absorption data for biological skin, pure liquid water and interpolated values. Kramers-Kronig analysis of biological skin yields a comprehensive description of the complex index of refraction from DC to x-ray frequencies.