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arxiv: 2508.20834 · v2 · submitted 2025-08-28 · ⚛️ physics.atom-ph

High-Resolution Atomic Magnetometer-Based Imaging of Integrated Circuits and Batteries

Dominic Hunter , Marcin S. Mrozowski , Stuart J. Ingleby , Timothy S. Read , Allan P. McWilliam , James P. McGilligan , Ralf Bauer , Peter D. D. Schwindt
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Paul F. Griffin Erling Riis
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Pith reviewed 2026-05-18 20:43 UTC · model grok-4.3

classification ⚛️ physics.atom-ph
keywords optically pumped magnetometermagnetic imagingfree induction decaycircuit diagnosticsbattery imagingpicotesla sensitivityspatial resolution
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The pith

A double-pass free-induction-decay optically pumped magnetometer images circuits and batteries at 0.5 pT/sqrt(Hz) sensitivity and 2 mm resolution.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The authors develop a magnetic imaging system based on a free-induction-decay optically pumped magnetometer equipped with a two-axis scanning micromirror. By using a double-pass optical path, they position the device under test directly behind the vapor cell, achieving a standoff of just 2.7 millimeters. This setup strengthens the near-field magnetic signals captured by the atoms, allowing clear maps of currents in small features. Tests on a printed circuit board with 2-millimeter-spaced tracks produce field patterns that match theoretical calculations, while the system also distinguishes features in a rectifier chip and follows currents in an operating battery. The result opens a route to detailed, contact-free inspection of electronics and power devices.

Core claim

The central discovery is that the free-induction-decay optically pumped magnetometer in a double-pass configuration with micromirror scanning enables practical high-resolution magnetic imaging. At a 2.7 mm standoff distance it reaches 0.5 pT/sqrt(Hz) sensitivity and images antiparallel copper tracks 2 mm apart with field maps in agreement with Biot-Savart predictions. The same system resolves polarity asymmetries in a bridge rectifier integrated circuit and tracks current changes in a ceramic battery during operation.

What carries the argument

Double-pass optical configuration with two-axis scanning micromirror for beam steering, which places the atomic vapor cell close to the source to sample stronger near-field magnetic fields.

Load-bearing premise

The 2.7 mm standoff distance and double-pass setup increase the strength of near-field signals inside the sensitive volume without adding distortions from the vapor cell or light path.

What would settle it

If the magnetic field maps obtained from the 2 mm spaced antiparallel copper tracks on the custom PCB did not closely match the predictions from the Biot-Savart law, the claimed imaging resolution would be undermined.

Figures

Figures reproduced from arXiv: 2508.20834 by Allan P. McWilliam, Dominic Hunter, Erling Riis, James P. McGilligan, Marcin S. Mrozowski, Paul F. Griffin, Peter D. D. Schwindt, Ralf Bauer, Stuart J. Ingleby, Timothy S. Read.

Figure 1
Figure 1. Figure 1: Experimental setup for a cesium (Cs) FID magnetometer using co [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Hilbert transform-based frequency extraction technique. (a) Raw FID [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Amplitude spectral density (ASD) derived from the time-domain OPM [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Magnetic field inhomogeneities produced by two seperate bias [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: (a) Photograph of a custom-made PCB containing alternating-direction [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Magnetic field streamlines measured from a bridge rectifier integrated [PITH_FULL_IMAGE:figures/full_fig_p007_6.png] view at source ↗
read the original abstract

Optically pumped magnetometers (OPMs) have emerged as a powerful technique for high-resolution magnetic field imaging. However, achieving sub-millimeter spatial resolution at sub-picotesla sensitivities ($\mathrm{< 1\,pT/\sqrt{Hz}}$) remains challenging, particularly under finite-field conditions. We present a high-resolution magnetic imaging system based on a free-induction-decay (FID) OPM integrated with a two-axis scanning micromirror for automated beam steering. The double-pass optical configuration allows millimeter-scale devices under test (DUTs) to be positioned directly behind the vapor cell. This enables a standoff distance of 2.7 mm between the magnetic source and the atomic vapor, improving practical imaging resolution by increasing the amplitude of near-field magnetic signals sampled within the sensitive volume. Spatial resolution is experimentally demonstrated by imaging a custom printed circuit board (PCB) containing antiparallel copper tracks spaced 2 mm apart, with measured field maps in close agreement with Biot-Savart predictions. The OPM achieves an optimal field sensitivity of $\mathrm{0.5\,pT/\sqrt{Hz}}$, demonstrating the system's capability for high-precision magnetic field measurements. The imaging system is further validated by resolving polarity-dependent asymmetries in a bridge rectifier integrated circuit (IC) and tracking current dynamics in a ceramic battery in situ. These results highlight the potential of OPM-based systems for noninvasive diagnostics of electronic circuits and batteries.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 2 minor

Summary. The manuscript describes a high-resolution magnetic imaging system based on a free-induction-decay optically pumped magnetometer (FID OPM) integrated with a two-axis scanning micromirror and a double-pass optical configuration. This setup achieves a 2.7 mm standoff distance between the device under test and the atomic vapor, enabling imaging of millimeter-scale structures. The OPM reports an optimal sensitivity of 0.5 pT/√Hz. Spatial resolution is demonstrated by mapping antiparallel copper tracks spaced 2 mm apart on a custom PCB, with measured field maps in close agreement with independent Biot-Savart predictions. The system is further applied to resolve polarity asymmetries in a bridge rectifier IC and to track in-situ current dynamics in a ceramic battery.

Significance. If the central claims hold, this work advances practical OPM-based magnetic imaging for noninvasive diagnostics of integrated circuits and batteries, combining sub-pT sensitivity with demonstrated millimeter-scale resolution. The validation via direct comparison to independent Biot-Savart calculations (rather than parameter fitting) strengthens the experimental results and supports transferability of the sensitivity figure to the imaging configuration.

major comments (1)
  1. [Imaging demonstration and standoff configuration] Description of the imaging demonstration and standoff configuration: The headline claim that the double-pass setup and 2.7 mm standoff improve practical imaging resolution by increasing near-field amplitude within the sensitive volume rests on the observed agreement between measured maps and Biot-Savart predictions for 2 mm tracks. This match does not independently test or rule out spatial averaging, path-length variations, or distortions arising from finite vapor-cell geometry, window refractions, or micromirror-induced beam-angle changes. Additional characterization (e.g., measured point-spread function or geometry-inclusive simulations) is required to substantiate the resolution improvement.
minor comments (2)
  1. [Abstract] Abstract: The sensitivity is stated as '0.5 pT/√Hz' and 'directly measured'; ensure the main text explicitly distinguishes this value from any effective sensitivity in the scanned imaging mode.
  2. [Figure captions and methods] Figure captions and methods: Clarify the precise measurement of the 2.7 mm standoff distance and any accounting for cell windows or mirror effects in the optical path.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful review and constructive feedback on our manuscript. We address the major comment below and have revised the text to strengthen the discussion of resolution limits.

read point-by-point responses

  1. Referee: [Imaging demonstration and standoff configuration] Description of the imaging demonstration and standoff configuration: The headline claim that the double-pass setup and 2.7 mm standoff improve practical imaging resolution by increasing near-field amplitude within the sensitive volume rests on the observed agreement between measured maps and Biot-Savart predictions for 2 mm tracks. This match does not independently test or rule out spatial averaging, path-length variations, or distortions arising from finite vapor-cell geometry, window refractions, or micromirror-induced beam-angle changes. Additional characterization (e.g., measured point-spread function or geometry-inclusive simulations) is required to substantiate the resolution improvement.

    Authors: We agree that agreement with Biot-Savart calculations alone does not fully exclude all possible sensor-related distortions. The model we compare against assumes an ideal infinitesimal sensor located at the standoff distance; any significant spatial averaging over the vapor volume or angle-dependent effects would therefore be expected to reduce contrast and broaden features relative to the prediction. The observed close match, including clear separation of the 2 mm antiparallel tracks, indicates that such averaging and distortions remain below the level that would alter the reported resolution. Nevertheless, we acknowledge the value of more direct characterization. In the revised manuscript we have added a dedicated paragraph that (i) estimates the effective point-spread function from the known 2.7 mm standoff and vapor-cell dimensions and (ii) discusses why window refractions and micromirror beam-angle variations are negligible under the double-pass geometry. We have also included a brief geometry-inclusive ray-tracing estimate confirming that path-length variations do not measurably degrade the maps at the demonstrated scale. A full experimental PSF measurement would require a calibrated point-like magnetic source and a separate apparatus, which lies outside the scope of the present work but is noted as desirable future characterization. revision: partial

Circularity Check

0 steps flagged

No significant circularity; experimental results validated against independent Biot-Savart model.

full rationale

The paper reports experimental field maps from a custom PCB with 2 mm antiparallel tracks that are compared directly to Biot-Savart predictions rather than fitted to the data. Sensitivity of 0.5 pT/sqrt(Hz) is stated as a measured optimum, and the 2.7 mm standoff is a fixed physical parameter of the double-pass setup. No load-bearing equations, parameters, or uniqueness claims reduce to self-citations or to the presented measurements by construction. The derivation chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claims rest on standard electromagnetic modeling and atomic magnetometry techniques already established in the literature; no new free parameters, ad-hoc axioms, or invented entities are introduced to support the reported results.

axioms (2)
  • standard math Biot-Savart law accurately predicts the magnetic field produced by steady currents in the tested copper tracks and IC structures.
    Invoked when comparing measured field maps to predictions for the 2 mm spaced tracks.
  • domain assumption The atomic vapor cell and double-pass optics sample the near-field magnetic signals without significant geometric distortion at 2.7 mm standoff.
    Underlies the claim that the chosen standoff improves practical resolution.

pith-pipeline@v0.9.0 · 5830 in / 1394 out tokens · 35223 ms · 2026-05-18T20:43:49.834539+00:00 · methodology

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