Asymptotic analysis of the Z-scan trace to determine multiphoton absorption coefficients

TL;DR

This paper provides a theoretical framework for analyzing Z-scan measurements to accurately determine multiple multiphoton absorption coefficients in materials, using polynomial expansion and sequential data processing.

Contribution

It introduces a novel polynomial expansion method for separating and estimating different order multiphoton absorption contributions in Z-scan data.

Findings

Effective separation of multiphoton absorption contributions

Accurate sequential estimation of nonlinear absorption coefficients

Theoretical validation of the proposed analysis method

Abstract

We present a theoretical analysis of open aperture $Z$-scan signatures for materials exhibiting an absorption admixture of different multiphoton processes. Based on a polynomial expansion, we suggest some procedures to separate the contribution to the trace of the recorded transmittance made by absorptions of distinct order. The signal processing from experimental data allows a sequential estimation of assorted nonlinear absorption coefficients accurately.