Magnetic field mapping of inaccessible regions using physics-informed neural networks

Umit H. Coskun, Bilgehan Sel, Brad Plaster

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


A difficult problem concerns the determination of magnetic field components within an experimentally inaccessible region when direct field measurements are not feasible. In this paper, we propose a new method of accessing magnetic field components using non-disruptive magnetic field measurements on a surface enclosing the experimental region. Magnetic field components in the experimental region are predicted by solving a set of partial differential equations (Ampere’s law and Gauss’ law for magnetism) numerically with the aid of physics-informed neural networks (PINNs). Prediction errors due to noisy magnetic field measurements and small number of magnetic field measurements are regularized by the physics information term in the loss function. We benchmark our model by comparing it with an older method. The new method we present will be of broad interest to experiments requiring precise determination of magnetic field components, such as searches for the neutron electric dipole moment.

Original languageEnglish
Article number12858
JournalScientific Reports
Issue number1
StatePublished - Dec 2022

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© 2022, The Author(s).

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