Analytically Optimising Muon Diffusion Experiments with Fisher information

TL;DR

This paper introduces an analytical method using Fisher information to optimize muon diffusion experiments by determining the best measurement points and quantities for accurate parameter estimation.

Contribution

The authors develop a Fisher information-based technique to analytically optimize measurement strategies in muon experiments, focusing on field and temperature selection.

Findings

Optimized measurement strategies improve data quality.

Analytical calculation of required muon decays for desired accuracy.

Application to ionic diffusion experiments demonstrates effectiveness.

Abstract

One of the key challenges in performing muon experiments is knowing which temperatures and applied fields to measure at, and how many muon decays should be measured at each temperature/field combination to get the most useful dataset. We have developed a technique using Fisher information which, for a given muon asymmetry function, can analytically calculate the number of muon decays required to obtain a given error on the parameters of the asymmetry model. Here, we report on the results of our project, in particular applying our methodology to the problem of knowing the best choice of applied longitudinal fields for ionic diffusion experiments.