journal article·2025-02-19Open access

Magnetic Field Penetration Depth in Various Materials and Applications

Papa Ascona García, Guido Ordoñez Carpio, Wilmer Zelada Zamora, Edwaldo Villanueva Pedraza, Roger Fernandez Villarroel

Applied Sciences· Volume 15· Issue 4

Abstract

The magnetic field penetration depth poses challenges in communications, geophysical exploration, biomedical therapies, and superconducting device design. The objective of this systematic review was to identify, analyze, and understand the depth of magnetic field penetration in conductors, semiconductors, superconductors, insulators and natural materials, modelling applications in medicine, engineering, and basic sciences. An exhaustive search was carried out in databases such as Scopus, IEEE Xplore, ScienceDirect, and IOPSCIENCE using keywords such as depth and penetration and magnetic and field and materials. PRISMA was used as a method to define inclusion and exclusion criteria, ensuring quality, transparency, and methodological rigor, followed by a detailed statistical analysis. The results showed that the penetration depth varies according to the material, frequency, and application conditions. In human tissues, infrastructure, and agricultural applications, the penetration range is between 0.01 and 0.2 m, with the possibility of a range greater than one meter in specific applications. The higher the frequency, the lower the penetration depth is confirmed. In conclusion, the penetration of the magnetic field depends on material properties such as conductivity and magnetic permeability, frequency, and temperature. The developed models offer relevant information for future research and technological applications.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Magnetic properties of thin films · Characterization and Applications of Magnetic Nanoparticles · Magnetic Field Sensors Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Academic Department of Biotechnology, Professional School of Biotechnology, Faculty of Natural and Applied Sciences, National Intercultural University Fabiola Salazar Leguía de Bagua, Bagua 01721, Peru

Academic Department of Engineering, Professional School of Civil Engineering, Faculty of Civil Engineering and Architecture, National University Toribio Rodríguez de Mendoza de Amazonas, Chachapoyas 01720, Peru

Academic Department of Engineering, Professional School of Civil Engineering, Faculty of Engineering, National Intercultural University Fabiola Salazar Leguía de Bagua, Bagua 01721, Peru

Funding

Universidad Nacional Intercultural Fabiola Salazar Leguía de Bagua

References (89)

Show source-provided references
1. Magnetic field treatment on horticultural and agricultural crops: Its benefits and challenges10.2478/fhort-2024-0004 ↗
2. Two-photon electromagnetic induction imaging with an atomic magnetometer10.1063/5.0147291 ↗
3. Enhancement of Plant Regeneration in Lemon Balm (Melissa officinalis L.) with Different Magnetic Field Applications10.21448/ijsm.677102 ↗
4. Hwang, J.Y., Park, S.J., Son, Y., and Jung, H.Y. (2023). Influence of In Situ Magnetic Field on Magnetic Properties of a Bonded Permanent Magnet Manufactured through Material Extrusion Additive Manufacturing. Metals, 13.10.3390/met13101653 ↗
5. Mitigation of nivalenol using alcoholic fermentation and magnetic field application10.1016/j.foodchem.2020.127935 ↗
6. Critical fields of Nb3Sn prepared for superconducting cavities10.1088/1361-6668/ab119e ↗
7. Surface structure and multigap superconductivity of V3Si (111) revealed by scanning tunneling microscopy10.1007/s44214-023-00028-y ↗
8. Magnetic field application and its potential in water and wastewater treatment systems10.1080/15422119.2013.794148 ↗
9. Recent progress of magnetic field application in lithium-based batteries10.1016/j.nanoen.2021.106703 ↗
10. Widodo, P.J., Budiana, E.P., Ubaidillah, U., Imaduddin, F., and Choi, S.B. (2022). Effect of Time and Frequency of Magnetic Field Application on MRF Pressure Performance. Micromachines, 13.10.3390/mi13020222 ↗
11. A simple geomagnetic field compensation system for uniform magnetic field applications
12. A facility for the characterisation of planar multilayer structures with preliminary niobium results10.1088/1361-6668/ac7fbf ↗
13. Physical Analysis of Low-dynamic Magnetic Field Impact on Human Tissue10.14311/TEE.2018.1.014 ↗
14. Lu, M., and Ueno, S. (2017). Comparison of the induced fields using different coil configurations during deep transcranial magnetic stimulation. PLoS ONE, 12.10.1371/journal.pone.0178422 ↗
15. Muon spin relaxation studies in organic superconductors and organic magnets10.1016/0379-6779(93)90045-X ↗
16. Semiconductors in the digital age: Developments, challenges and geopolitical implications
17. Preparation of iron(IV) nitridoferrate Ca4FeN4 through azide-mediated oxidation under high-pressure conditions10.1038/s41467-020-20881-y ↗
18. The second life of construction waste. Proposal to reuse recycled fine aggregate and residues of insulating materials
19. A wafer-scale two-dimensional platinum monosulfide ultrathin film: Via metal sulfurization for high performance photoelectronics10.1039/D1MA00757B ↗
20. Two distinctive temperature dependences of the London penetration depth in high-Tc cuprate superconductors as support for the theory of Bose-liquid superconductivity10.1016/j.physleta.2022.128447 ↗
21. Magnetic field screening in hydrogen-rich high-temperature superconductors10.1038/s41467-022-30782-x ↗
22. Yang, Y., Hoffman, S., Lu, H., Nguyen, H., Makaroff, S.N., and Li, C.Q. (2023). High inductance magnetic-core coils have enhanced efficiency in inducing suprathreshold motor response in rats. Phys. Med. Biol., 68.10.1088/1361-6560/ad0bde ↗
23. SA43 Uptake of the Prisma 2020 Statement and Its Artificial Intelligence Component in Recently Published Systematic Reviews10.1016/j.jval.2023.03.2259 ↗
24. Aras, A., and Büyüközkan, G. (2023). Digital Transformation Journey Guidance: A Holistic Digital Maturity Model Based on a Systematic Literature Review. Systems, 11.10.3390/systems11040213 ↗
25. Superconductivity nearby quantum critical region in hole-doped organic strange metal κ-(ET)4Hg3−δBr8, δ = 11%10.1088/1742-6596/2462/1/012061 ↗
26. Analysis of a Flexible Dual-Channel Octagonal Coil System for UHF MRI10.1109/ACCESS.2022.3209676 ↗
27. Investigation of the effect of the treatment of the surface of VT6 alloy on the penetration depth of implantable ions10.1088/1757-899X/971/3/032018 ↗
28. Effect of Magnetorheological additives on the buildability of 3D concrete printing10.1016/j.jobe.2023.106814 ↗
29. Emergence of superconductivity in single-crystalline LaFeAsO under simultaneous Sm and P substitution10.1016/j.jallcom.2023.170384 ↗
30. Noyan, A.A., Ovchenkov, Y.A., Ryazanov, V.V., Golovchanskiy, I.A., Stolyarov, V.S., Levin, E.E., and Napolskii, K.S. (2022). Size-Dependent Superconducting Properties of In Nanowire Arrays. Nanomaterials, 12.10.3390/nano12224095 ↗
31. Ivan, I., Ionescu, A.M., Crisan, D.N., and Crisan, A. (2023). Vortex Glass—Vortex Liquid Transition in BaFe2(As1−xPx)2 and CaKFe4As4 Superconductors from Multi-Harmonic AC Magnetic Susceptibility Studies. Int. J. Mol. Sci., 24.10.3390/ijms24097896 ↗
32. Muon spin relaxation measurements of magnetic-field penetration depth in Ba8Si4610.1016/S0921-4526(00)00417-8 ↗
33. μSR studies of intercalated HfNCl superconductor10.1016/S0921-4526(00)00418-X ↗
34. Temperature dependences of the upper critical field and the Ginzburg-Landau parameter of Li2Pd3B from magnetization measurements10.1016/j.physc.2006.11.007 ↗
35. Comments on deviations of the penetration depth of niobium from BCS calculations10.1063/1.321742 ↗
36. Belogolovskii, M., Poláčková, M., Zhitlukhina, E., Grančič, B., Satrapinskyy, L., Gregor, M., and Plecenik, T. (2023). Competing length scales and 2D versus 3D dimensionality in relatively thick superconducting NbN films. Sci. Rep., 13.10.1038/s41598-023-46579-x ↗
37. Design of Transcranial Magnetic Stimulation Coils With Optimized Stimulation Depth10.1109/ACCESS.2023.3346173 ↗
38. On the interpretation of muon-spin-rotation experiments in the mixed state of type-II superconductors10.1016/j.physc.2007.07.003 ↗
39. Low kinetic inductance superconducting MgB2nanowires with a 130 ps relaxation time for single-photon detection applications10.1088/1361-6668/abdeda ↗
40. Characterization of quasiparticle relaxation times in microstrips of NbReN for perspective applications for superconducting single-photon detectors10.1016/j.mseb.2024.117376 ↗
41. Water-Tunable Highly Sub-Wavelength Spiral Resonator for Magnetic Field Enhancement of MRI Coils at 1.5 T10.1109/ACCESS.2019.2927359 ↗
42. Khasanov, R., Shengelaya, A., Brütsch, R., and Keller, H. (2020). Suppression of the s-wave order parameter near the surface of the infinite-layer electron-doped cuprate superconductor Sr0.9La0.1CuO2. Condens Matter, 5.10.3390/condmat5030050 ↗
43. Design of Rotated Surface Coil Array for Multiple-Subject Imaging at 400 MHz10.1109/ACCESS.2022.3183119 ↗
44. A Multifunction Dense Array System with Reconfigurable Depth of Penetration10.1109/JERM.2020.2995664 ↗
45. Temperature dependence of penetration depth in electron-doped cuprate superconductors10.1088/1742-6596/400/2/022030 ↗
46. Magnetic field penetration depth in single crystal La1.85Sr0.15CuO4 and Nd1.85Ce0.15CuO410.1016/S0921-4534(97)00837-X ↗
47. Measuring and Imaging Permittivity of Insulators Using High-Frequency Eddy-Current Devices10.1109/TIM.2015.2390851 ↗
48. The Development and Applications of the Semi-Airborne Electromagnetic System in China10.1109/ACCESS.2019.2930961 ↗
49. μsR study of CeRhIn5 under applied pressure10.1088/1742-6596/225/1/012011 ↗
50. Extremely Low Frequency Electric and Magnetic Fields Exposure: Survey of Recent Findings10.1109/JERM.2023.3268555 ↗
51. Imajo, S., and Kindo, K. (2021). The fflo state in the dimer mott organic superconductor κ-(BEDT-TTF)2Cu[N(CN)2]Br. Crystals, 11.10.3390/cryst11111358 ↗
52. Magnetoresistance peculiarities and magnetization of materials with two kinds of superconducting inclusions10.1515/msp-2015-0003 ↗
53. Magnetic penetration depth in layered compound NbSe2 measured by muon spin relaxation10.1016/0921-4534(91)91478-M ↗
54. Doping dependence of Meissner effect in cuprate superconductors10.1016/j.physc.2010.08.013 ↗
55. Gupta, R., Maisuradze, A., Zhigadlo, N.D., Luetkens, H., Amato, A., and Khasanov, R. (2020). Self-Consistent Two-Gap Approach in Studying Multi-Band Superconductivity of NdFeAsO0.65F0.35. Front. Phys., 8.10.3389/fphy.2020.00002 ↗
56. Isotope effects in high-Tccuprate superconductors as support for the bipolaron theory of superconductivity10.1088/1367-2630/14/1/013046 ↗
57. Singular Fermi liquid as a model of unconventional superconductivity: Thermodynamic and magnetic properties10.1088/1742-6596/152/1/012058 ↗
58. Microwave response of superconducting pnictides: Extended s±scenario10.1088/1367-2630/11/7/075012 ↗
59. Shielding effectiveness analysis of the conducting spherical shell with a circular aperture against low frequency magnetic fields10.1109/ACCESS.2020.2988709 ↗
60. Penetration depth of magnetic field into YBa2Cu3Ox film on polycrystalline Ag substrate10.12693/APhysPolA.127.272 ↗
61. Modeling the dc current flow in granular superconductor wires10.17516/1997-1397-2017-10-2-239-243 ↗
62. Nodal superconducting gap structure in the quasi-one-dimensional Cs2Cr3As3 investigated using μsR measurements10.7566/JPSJ.86.044710 ↗
63. Series Impedance and Losses of Magnetic Field Mitigation Plates for Underground Power Cables10.1109/TEMC.2017.2764952 ↗
64. Penetration depth of shielding currents due to crossed magnetic fields in bulk (RE)-Ba-Cu-O superconductors10.1088/1361-6668/aafcd3 ↗
65. Very Low Frequency Propagation Characteristics Analysis in Coal Mines10.1109/ACCESS.2020.2995678 ↗
66. Electromagnetic response in kinetic energy driven cuprate superconductors: Linear response approach10.1016/j.physc.2010.02.092 ↗
67. The Magnetic Penetration Depth Calculated with the Mechanism of ‘Close-Shell Inversion
68. Ghigo, G., Torsello, D., Gozzelino, L., Fracasso, M., Bartoli, M., Pira, C., Ford, D., Marconato, G., Fretto, M., and De Carlo, I. (2023). Vortex dynamics in NbTi films at high frequency and high DC magnetic fields. Sci. Rep., 13.10.1038/s41598-023-36473-x ↗
69. Dzebisashvili, D.M., and Klyuchantsev, A.B. (2019). London penetration depth as a test of order parameter symmetry in sodium cobaltate superconductors. Symmetry, 11.10.3390/sym11050633 ↗
70. Magneto-Mechanical Transmitters for Ultralow Frequency Near-Field Data Transfer10.1109/TAP.2021.3137244 ↗
71. Miniaturised Wireless Power Transfer Systems for Neurostimulation: A Review10.1109/TBCAS.2020.3038599 ↗
72. Superconductivity in the high-entropy alloy (NbTa)0.67(MoHfW)0.3310.1103/PhysRevB.106.184512 ↗
73. System dependence of the magnetic-field penetration depth in C60 superconductors10.1016/0921-4534(94)92471-6 ↗
74. Birkeland’s theory of magnetic storms and terrestrial magnetism10.1029/TE014i002p00081 ↗
75. Superconductivity: The path of least resistance to the future10.1080/00107514.2023.2259654 ↗
76. Santos, E.S.D. (2021). A Teoria Microscópica BCS (Bardeen-Cooper-Schrieffer) e os Resultados da Eletrodinâmica de London, Universidade Estadual De Feira De Santana. Anais dos Seminários de Iniciação Científica.
77. Göbel, E.O., and Siegner, U. (2015). Quantum Metrology: Foundation of Units and Measurements, Wiley.10.1002/9783527680887 ↗
78. International System of Units (SI)
79. Estimation of Electromagnetic Field Penetration into Concrete Buildings Using a Theoretical Approach Considering External Environmental Factors10.26866/jees.2023.3.r.161 ↗
80. 1H, 23Na and 35Cl Imaging in Cementitious Materials with NMR10.1007/s00723-015-0752-6 ↗
81. Junginger, T., Laxdal, R., MacFarlane, W.A., and Suter, A. (2024). SRF material research using muon spin rotation and beta-detected nuclear magnetic resonance. Front. Electron. Mater., 4.10.3389/femat.2024.1346235 ↗
82. Observation of the non-linear Meissner effect10.1038/s41467-022-28790-y ↗
83. Superconductivity of amorphous and crystalline Re-Lu films10.1088/1361-6668/ad1f7e ↗
84. Evidence for current suppression in superconductor-superconductor bilayers10.1088/1361-6668/ad1462 ↗
85. Depth Penetration of Light into Skin as a Function of Wavelength from 200 to 1000 nm10.1111/php.13550 ↗
86. Kaub, L., and Schmitz, C. (2023). Comparison of the Penetration Depth of 905 nm and 1064 nm Laser Light in Surface Layers of Biological Tissue Ex Vivo. Biomedicines, 11.10.3390/biomedicines11051355 ↗
87. Skin effect as a probe of transport regimes in Weyl semimetals10.1073/pnas.2200367119 ↗
88. Universal non-Hermitian skin effect in two and higher dimensions10.1038/s41467-022-30161-6 ↗
89. Determination of the magnetic penetration depth with measurements of the vortex-penetration field for type-II superconductors10.1103/PhysRevB.110.064507 ↗