Roughness spectroscopy of particle monolayer: Implications for spectral analysis of the monolayer image

TL;DR

This paper develops a theoretical framework for analyzing the surface roughness of particle monolayers using spectral methods, validated by numerical results and applied to spectral analysis of monolayer images.

Contribution

It introduces a general equation for surface roughness spectral density and demonstrates its application in spectral analysis of particle monolayer images.

Findings

Derived a general spectral density equation for particle monolayers

Validated the model with numerical simulations under experimental conditions

Applied the model to spectral analysis of monolayer images

Abstract

Surface roughness of particle monolayer is one of its fundamental characteristics, conventionally described in terms of power spectral density. We derive a general equation for this function and demonstrate its similarity to those applied in the theory of scattering. We validate our analytical results by comparison with numerical results for a system with parameters corresponding to typical experimental conditions. We also demonstrate a practical application of our approach for spectral analysis of the monolayer image. Our theoretical model provides a general framework for a cheap and easy parametrization of particle monolayers.