Saved in:
Bibliographic Details
Main Authors: Setescak, Alexander, Bruckner, Florian, Suess, Dieter, Choi, Young-Gwan, Binger, Hayden, Boer, Lotte, Zhang, Chenhui, Yang, Hyunsoo, Donnelly, Claire, Vool, Uri, Abert, Claas
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.17180
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866915904988643328
author Setescak, Alexander
Bruckner, Florian
Suess, Dieter
Choi, Young-Gwan
Binger, Hayden
Boer, Lotte
Zhang, Chenhui
Yang, Hyunsoo
Donnelly, Claire
Vool, Uri
Abert, Claas
author_facet Setescak, Alexander
Bruckner, Florian
Suess, Dieter
Choi, Young-Gwan
Binger, Hayden
Boer, Lotte
Zhang, Chenhui
Yang, Hyunsoo
Donnelly, Claire
Vool, Uri
Abert, Claas
contents Reconstructing complex magnetization textures from nitrogen-vacancy (NV) magnetometry stray-field measurements presents a challenging inverse problem. In this work, we introduce a physics-informed method that addresses this by incorporating the full micromagnetic energy directly into the variational formulation. Built on a PyTorch backend, our forward model integrates an auto-differentiable finite-differences micromagnetic framework with FFT-based stray-field calculations and Fourier-space upward continuation. This enables efficient gradient-based optimization via the adjoint method and allows the sensor-sample distance to be treated as an optimization parameter. By doing so, we eliminate the experimental uncertainty arising from unknown NV implantation depths and surface oxidation layers. Validation on synthetic data demonstrates high-fidelity reconstruction of spin textures and precise sensor height estimation. Furthermore, when applied to NV measurements of the van der Waals ferromagnet $Fe_{3-x}GaTe_2$, the method reconstructs the previously unknown NV-sample distance and physically plausible magnetization textures, which accurately reproduce the experimental observations.
format Preprint
id arxiv_https___arxiv_org_abs_2602_17180
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Fourier-Space Approach to Physics-Informed Magnetization Reconstruction from Nitrogen-Vacancy Measurements
Setescak, Alexander
Bruckner, Florian
Suess, Dieter
Choi, Young-Gwan
Binger, Hayden
Boer, Lotte
Zhang, Chenhui
Yang, Hyunsoo
Donnelly, Claire
Vool, Uri
Abert, Claas
Mesoscale and Nanoscale Physics
Reconstructing complex magnetization textures from nitrogen-vacancy (NV) magnetometry stray-field measurements presents a challenging inverse problem. In this work, we introduce a physics-informed method that addresses this by incorporating the full micromagnetic energy directly into the variational formulation. Built on a PyTorch backend, our forward model integrates an auto-differentiable finite-differences micromagnetic framework with FFT-based stray-field calculations and Fourier-space upward continuation. This enables efficient gradient-based optimization via the adjoint method and allows the sensor-sample distance to be treated as an optimization parameter. By doing so, we eliminate the experimental uncertainty arising from unknown NV implantation depths and surface oxidation layers. Validation on synthetic data demonstrates high-fidelity reconstruction of spin textures and precise sensor height estimation. Furthermore, when applied to NV measurements of the van der Waals ferromagnet $Fe_{3-x}GaTe_2$, the method reconstructs the previously unknown NV-sample distance and physically plausible magnetization textures, which accurately reproduce the experimental observations.
title A Fourier-Space Approach to Physics-Informed Magnetization Reconstruction from Nitrogen-Vacancy Measurements
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2602.17180