Remarks on the mean-square values of the geomagnetic field and its components
When considering functions on the Earth's (spherical) surface, mean-square values are often used to indicate their (relative) magnitude. If a function is separated into it, (essentially) spherical harmonic components then, provided these individual harmonic components are orthogonal over the su...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Istituto Nazionale di Geofisica e Vulcanologia (INGV)
1995-06-01
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| Series: | Annals of Geophysics |
| Subjects: | |
| Online Access: | http://www.annalsofgeophysics.eu/index.php/annals/article/view/4117 |
| _version_ | 1818297533216063488 |
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| author | F. J. Lowes C. Falcone A. De Santis |
| author_facet | F. J. Lowes C. Falcone A. De Santis |
| author_sort | F. J. Lowes |
| collection | DOAJ |
| description | When considering functions on the Earth's (spherical) surface, mean-square values are often used to indicate their (relative) magnitude. If a function is separated into it, (essentially) spherical harmonic components then, provided these individual harmonic components are orthogonal over the surface, the concept of spatial power spectrum can be introduced, with each harmonic contributing separately to the total mean square value; this is true for the geomagnetic field vector B, its horizontal component vector H, and its vertical component z. However, because of the lack of orthogonality this concept is not applicable to the horizontal X and y components individually; problems which arise from this are discussed. |
| first_indexed | 2024-12-13T04:20:56Z |
| format | Article |
| id | doaj.art-d8c5af28c28c4a049e51662701ef3cbb |
| institution | Directory Open Access Journal |
| issn | 1593-5213 2037-416X |
| language | English |
| last_indexed | 2024-12-13T04:20:56Z |
| publishDate | 1995-06-01 |
| publisher | Istituto Nazionale di Geofisica e Vulcanologia (INGV) |
| record_format | Article |
| series | Annals of Geophysics |
| spelling | doaj.art-d8c5af28c28c4a049e51662701ef3cbb2022-12-21T23:59:47ZengIstituto Nazionale di Geofisica e Vulcanologia (INGV)Annals of Geophysics1593-52132037-416X1995-06-0138210.4401/ag-4117Remarks on the mean-square values of the geomagnetic field and its componentsF. J. LowesC. FalconeA. De SantisWhen considering functions on the Earth's (spherical) surface, mean-square values are often used to indicate their (relative) magnitude. If a function is separated into it, (essentially) spherical harmonic components then, provided these individual harmonic components are orthogonal over the surface, the concept of spatial power spectrum can be introduced, with each harmonic contributing separately to the total mean square value; this is true for the geomagnetic field vector B, its horizontal component vector H, and its vertical component z. However, because of the lack of orthogonality this concept is not applicable to the horizontal X and y components individually; problems which arise from this are discussed.http://www.annalsofgeophysics.eu/index.php/annals/article/view/4117spherical harmonicsorthogonalitygeomagnetic spectrum |
| spellingShingle | F. J. Lowes C. Falcone A. De Santis Remarks on the mean-square values of the geomagnetic field and its components Annals of Geophysics spherical harmonics orthogonality geomagnetic spectrum |
| title | Remarks on the mean-square values of the geomagnetic field and its components |
| title_full | Remarks on the mean-square values of the geomagnetic field and its components |
| title_fullStr | Remarks on the mean-square values of the geomagnetic field and its components |
| title_full_unstemmed | Remarks on the mean-square values of the geomagnetic field and its components |
| title_short | Remarks on the mean-square values of the geomagnetic field and its components |
| title_sort | remarks on the mean square values of the geomagnetic field and its components |
| topic | spherical harmonics orthogonality geomagnetic spectrum |
| url | http://www.annalsofgeophysics.eu/index.php/annals/article/view/4117 |
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