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Optimization of Magnetic Reference Layers in Neutron Reflectometry Experiments: A Bayesian Experimental Design Approach
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, Department of Physics, Chemistry and Biology.
2026 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

Neutron reflectometry is used to probe thin films and buried interfaces, but the interpretation of reflectometry data is often limited by non-uniqueness, finite measurement range, noise, and weak contrast between the sample of interest and the surrounding layers. These difficulties are especially relevant for soft-matter and other low-SLD systems, where different sample configurations can produce similar reflectivity curves. Magnetic reference layers offer one way to improve such experiments by introducing spin-dependent contrast in polarized neutron reflectometry. The choice of reference material, reference-layer thickness, and capping layer is therefore an experimental design problem.

This thesis investigates magnetic reference layer design for polarized neutron reflectometry using both signal-based and Bayesian design criteria. A specular reflectometry solver is implemented using a layered scattering-length-density model, Parratt recursion, and roughness corrections. The solver is embedded in a computational pipeline in which candidate designs are generated, simulated, scored, and optimized. Signal-based figures of merit, especially the total sensitivity figure, are compared with Bayesian objectives based on mutual information and posterior uncertainty reduction under a finite prior over possible samples of interest.

The results show that magnetic reference layer optimization depends on the chosen notion of informativeness. Signal sensitivity, posterior contraction, and polarization-specific information gain are related but not equivalent design criteria. The thesis therefore provides a simulation and optimization pipeline for MRL design and interprets MRL performance through the associated Bayesian inverse problem.

Place, publisher, year, edition, pages
2026. , p. 94
Keywords [en]
neutron reflectometry; polarized neutron reflectometry; magnetic reference layers; Bayesian experimental design; inverse problems; mutual information; numerical optimization; scattering length density; thin films
National Category
Condensed Matter Physics Other Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-226351ISRN: LITH-IFM-A-EX--26/4894--SEOAI: oai:DiVA.org:liu-226351DiVA, id: diva2:2089856
Subject / course
Applied Mathematics
Presentation
2026-06-08, Kompakta Rummet, Campus Valla, Linköping, 10:00 (English)
Supervisors
Examiners
Available from: 2026-08-05 Created: 2026-08-05 Last updated: 2026-08-05Bibliographically approved

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Applied MathematicsDepartment of Physics, Chemistry and Biology
Condensed Matter PhysicsOther Mathematics

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