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Optimization, implementation, and performance of TMS coils with maximum focality and various stimulation depths.

Publication ,  Journal Article
Gomez, LJ; Murphy, DLK; Koponen, L; Hamdan, R; Li, Y; Wood, E; Golden, J; Bukhari-Parlakturk, N; Goetz, SM; Peterchev, AV
Published in: J Neural Eng
February 9, 2026

OBJECTIVE: Conventional transcranial magnetic stimulation (TMS) coils generate a diffuse and shallow electric field (E-field) in the brain, resulting in limited spatial targeting precision (focality). Previously, we developed a methodology for designing theoretical TMS coils to achieve maximal focality for a given E-field penetration depth and minimize the required energy. This paper presents the practical design, implementation, and characterization of such focal-deep TMS (fdTMS) coils. APPROACH: We considered how the coil's shape affects energy requirements and designed a curved "hat" former that enables a wide range of coil placements while improving energy efficiency compared to flat formers. To improve energy efficiency, we introduced optimized-coverage partial-multi-layer windings of the coil. Through simulations with a spherical head model, we benchmarked the focality of the fdTMS E-field in the brain and the scalp, as well as the required energy, against conventional TMS coils. We then implemented two fdTMS coil designs with copper wire wound inside a 3d-printed plastic former. MAIN RESULTS: The E-field of the prototype fdTMS coils and conventional figure-8 counterparts were simulated in spherical and realistic head models and measured with a robotic probe, confirming a more compact fdTMS E-field. The fdTMS coils were also compared to two commercial coils with motor mapping in nine human subjects, which confirmed improved focality of fdTMS at the cost of greater E-field spread, increased energy loss and heating from the smaller wire diameter positioning constraints of the curved coil surface. SIGNIFICANCE: The study findings inform TMS coil implementation for precise mapping and targeting applications, and the design framework can be leveraged for future coil optimizations.

Duke Scholars

Published In

J Neural Eng

DOI

EISSN

1741-2552

Publication Date

February 9, 2026

Location

England

Related Subject Headings

  • Biomedical Engineering
  • 4003 Biomedical engineering
  • 3209 Neurosciences
  • 1109 Neurosciences
  • 1103 Clinical Sciences
  • 0903 Biomedical Engineering
 

Citation

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MLA
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Gomez, L. J., Murphy, D. L. K., Koponen, L., Hamdan, R., Li, Y., Wood, E., … Peterchev, A. V. (2026). Optimization, implementation, and performance of TMS coils with maximum focality and various stimulation depths. J Neural Eng. https://doi.org/10.1088/1741-2552/ae4382
Gomez, Luis J., David Lazar Kalinich Murphy, Lari Koponen, Rena Hamdan, Yiru Li, Eleanor Wood, Jacob Golden, Noreen Bukhari-Parlakturk, Stefan M. Goetz, and Angel V. Peterchev. “Optimization, implementation, and performance of TMS coils with maximum focality and various stimulation depths.J Neural Eng, February 9, 2026. https://doi.org/10.1088/1741-2552/ae4382.
Gomez LJ, Murphy DLK, Koponen L, Hamdan R, Li Y, Wood E, et al. Optimization, implementation, and performance of TMS coils with maximum focality and various stimulation depths. J Neural Eng. 2026 Feb 9;
Gomez, Luis J., et al. “Optimization, implementation, and performance of TMS coils with maximum focality and various stimulation depths.J Neural Eng, Feb. 2026. Pubmed, doi:10.1088/1741-2552/ae4382.
Gomez LJ, Murphy DLK, Koponen L, Hamdan R, Li Y, Wood E, Golden J, Bukhari-Parlakturk N, Goetz SM, Peterchev AV. Optimization, implementation, and performance of TMS coils with maximum focality and various stimulation depths. J Neural Eng. 2026 Feb 9;
Journal cover image

Published In

J Neural Eng

DOI

EISSN

1741-2552

Publication Date

February 9, 2026

Location

England

Related Subject Headings

  • Biomedical Engineering
  • 4003 Biomedical engineering
  • 3209 Neurosciences
  • 1109 Neurosciences
  • 1103 Clinical Sciences
  • 0903 Biomedical Engineering