Correlation Revival Eigenmodes for Differential Sensitivity in Speckle Metrology

TL;DR

This paper introduces a method using transmission matrix formalism to engineer speckle fields with revival eigenmodes, enabling selective sensitivity reduction to specific parameters in speckle metrology.

Contribution

It demonstrates a novel approach to tailor speckle measurement sensitivities by engineering correlation revivals, improving robustness against certain perturbations.

Findings

Suppressed bending-induced correlation changes in multimode fibers.

Maintained wavelength sensitivity while reducing response to specific parameters.

Enabled parameter-specific sensitivity control in speckle-based measurements.

Abstract

Speckle metrology exploits the high sensitivity of scattered fields to parameters of interest, yet this also leaves measurements vulnerable to unintended perturbations. Here we employ transmission matrix formalism to engineer light fields that produce speckle correlation "revivals", selectively reducing response to a chosen parameter. In a multimode fiber scattering system, we suppress bending-induced correlation changes over a limited curvature range without strongly degrading wavelength sensitivity, opening a route to tailored, parameter-specific sensitivities of speckle-based measurements.