Obtaining vector magnetic field maps from single-component measurements of geological samples
Maxwell's equations can be used to demonstrate that the components of a static magnetic field in a region of space devoid of sources are not independent. This means that magnetometers that measure a single component of the magnetic field can potentially obtain all of three components of the fie...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Geophysical Union (AGU)
2012
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| Online Access: | http://hdl.handle.net/1721.1/74215 https://orcid.org/0000-0003-3113-3415 |
| _version_ | 1826205510073843712 |
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| author | Andrade Lima, Eduardo Weiss, Benjamin P. |
| author2 | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences |
| author_facet | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Andrade Lima, Eduardo Weiss, Benjamin P. |
| author_sort | Andrade Lima, Eduardo |
| collection | MIT |
| description | Maxwell's equations can be used to demonstrate that the components of a static magnetic field in a region of space devoid of sources are not independent. This means that magnetometers that measure a single component of the magnetic field can potentially obtain all of three components of the field external to a source. Here we present an improved technique in the Fourier domain which can obtain the complete vector field planar map from just the planar map of one component. This technique is fast, robust, does not rely on any specific source type or configuration, and does not require the formulation of an inverse problem. An in-depth analysis of the advantages and shortcomings of the technique is presented, demonstrating that high-quality three-component field maps with virtually no information loss can be obtained when proper sensor and mapping configurations are used. Several results derived from both synthetic and experimental data are presented. In particular, practical cases are shown where vector maps can assist the analysis of magnetic properties of geological samples. MATLAB® routines implementing the basic vector map calculation algorithm are available as auxiliary materials and can be readily adapted for processing magnetic data obtained from a variety of magnetic sensors. |
| first_indexed | 2024-09-23T13:14:13Z |
| format | Article |
| id | mit-1721.1/74215 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:14:13Z |
| publishDate | 2012 |
| publisher | American Geophysical Union (AGU) |
| record_format | dspace |
| spelling | mit-1721.1/742152022-09-28T12:49:46Z Obtaining vector magnetic field maps from single-component measurements of geological samples Andrade Lima, Eduardo Weiss, Benjamin P. Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Andrade Lima, Eduardo Weiss, Benjamin P. Maxwell's equations can be used to demonstrate that the components of a static magnetic field in a region of space devoid of sources are not independent. This means that magnetometers that measure a single component of the magnetic field can potentially obtain all of three components of the field external to a source. Here we present an improved technique in the Fourier domain which can obtain the complete vector field planar map from just the planar map of one component. This technique is fast, robust, does not rely on any specific source type or configuration, and does not require the formulation of an inverse problem. An in-depth analysis of the advantages and shortcomings of the technique is presented, demonstrating that high-quality three-component field maps with virtually no information loss can be obtained when proper sensor and mapping configurations are used. Several results derived from both synthetic and experimental data are presented. In particular, practical cases are shown where vector maps can assist the analysis of magnetic properties of geological samples. MATLAB® routines implementing the basic vector map calculation algorithm are available as auxiliary materials and can be readily adapted for processing magnetic data obtained from a variety of magnetic sensors. 2012-10-23T17:15:55Z 2012-10-23T17:15:55Z 2009-06 2008-08 Article http://purl.org/eprint/type/JournalArticle 0148-0227 http://hdl.handle.net/1721.1/74215 Lima, Eduardo A., and Benjamin P. Weiss. “Obtaining Vector Magnetic Field Maps from Single-component Measurements of Geological Samples.” Journal of Geophysical Research 114.B6 (2009). ©2009 American Geophysical Union https://orcid.org/0000-0003-3113-3415 en_US http://dx.doi.org/ 10.1029/2008jb006006 Journal of Geophysical Research Solid Earth Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Geophysical Union (AGU) MIT web domain |
| spellingShingle | Andrade Lima, Eduardo Weiss, Benjamin P. Obtaining vector magnetic field maps from single-component measurements of geological samples |
| title | Obtaining vector magnetic field maps from single-component measurements of geological samples |
| title_full | Obtaining vector magnetic field maps from single-component measurements of geological samples |
| title_fullStr | Obtaining vector magnetic field maps from single-component measurements of geological samples |
| title_full_unstemmed | Obtaining vector magnetic field maps from single-component measurements of geological samples |
| title_short | Obtaining vector magnetic field maps from single-component measurements of geological samples |
| title_sort | obtaining vector magnetic field maps from single component measurements of geological samples |
| url | http://hdl.handle.net/1721.1/74215 https://orcid.org/0000-0003-3113-3415 |
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