Spatial and temporal spectra of the geomagnetic field and their scaling properties

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Title: Spatial and temporal spectra of the geomagnetic field and their scaling properties
Authors: De Santis, A.1 desantisag@ingv.it, Barraclough, D.R.2, Tozzi, R.1
Source: Physics of the Earth & Planetary Interiors. Feb2003, Vol. 135 Issue 2/3, p125. 10p.
Subjects: Fourier transform spectroscopy, Geomagnetism
Abstract: Many natural phenomena show a relationship between their spatial and temporal Fourier spectra. This paper discusses such a connection for the geomagnetic field, when some assumptions are made about the (exponential or power-law) behaviour of the spatial power spectrum of the field itself and that of its time derivative (the spatial spectrum of the secular variation) as estimated from global geomagnetic field models. It is shown that, under either assumption, the temporal spectrum of the geomagnetic field computed at the core–mantle boundary (CMB) would have a power-law behaviour with a negative spectral exponent of about 0.5. At the Earth’s surface, although the temporal spectrum obtained from the power-law spatial model assumes a slightly more complicated form, it can be practically approximated with a power law with a negative exponent of about 3.6. Analysis of magnetic observatory data confirms these results and that the starting hypotheses are reasonable, especially in view of the possibly chaotic state of the dynamical processes underlying the generation and maintenance of the geomagnetic field. [Copyright &y& Elsevier]
Copyright of Physics of the Earth & Planetary Interiors is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Spatial and temporal spectra of the geomagnetic field and their scaling properties
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  Data: <searchLink fieldCode="JN" term="%22Physics+of+the+Earth+%26+Planetary+Interiors%22">Physics of the Earth & Planetary Interiors</searchLink>. Feb2003, Vol. 135 Issue 2/3, p125. 10p.
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  Data: Many natural phenomena show a relationship between their spatial and temporal Fourier spectra. This paper discusses such a connection for the geomagnetic field, when some assumptions are made about the (exponential or power-law) behaviour of the spatial power spectrum of the field itself and that of its time derivative (the spatial spectrum of the secular variation) as estimated from global geomagnetic field models. It is shown that, under either assumption, the temporal spectrum of the geomagnetic field computed at the core–mantle boundary (CMB) would have a power-law behaviour with a negative spectral exponent of about 0.5. At the Earth’s surface, although the temporal spectrum obtained from the power-law spatial model assumes a slightly more complicated form, it can be practically approximated with a power law with a negative exponent of about 3.6. Analysis of magnetic observatory data confirms these results and that the starting hypotheses are reasonable, especially in view of the possibly chaotic state of the dynamical processes underlying the generation and maintenance of the geomagnetic field. [Copyright &y& Elsevier]
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  Data: <i>Copyright of Physics of the Earth & Planetary Interiors is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/S0031-9201(02)00211-X
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      – TitleFull: Spatial and temporal spectra of the geomagnetic field and their scaling properties
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              Text: Feb2003
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              Value: 135
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