# An information entropy interpretation of photon absorption by dielectric media

## TL;DR

This paper introduces a quantum information entropy perspective on photon absorption in dielectric media, validating a photon-based Beer-Lambert law through experimental and theoretical analysis.

## Contribution

It presents a novel information entropy interpretation of photon absorption and a statistical model validated by experimental data using twin-photon interferometry.

## Key findings

- Photon absorption depth ratios match classical transmittance
- The statistical model aligns with experimental results
- The entropy-based interpretation offers new insights into absorption processes

## Abstract

We measured photon absorption in dielectric media and proposed the photon-version Beer-Lambert's law to quantify the absorption. We used a Hong-Ou-Mandel interferometer and 810 nm twin-photons. We found that the depth ratio of the null point in the interference patterns of the interferometer agreed with the classical transmittance of the samples. We established a statistical model of the photon absorption process and proposed an information entropy interpretation to understand the meaning of the Beer-Lambert law. Comparisons of the results of the photon absorption experiments with classical experiments demonstrate the validity of our model and interpretation.