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We provide a space domain oriented separation of magnetic fields into parts generated by sources in the exterior and sources in the interior of a given sphere. The separation itself is well-known in geomagnetic modeling, usually in terms of…

数值分析 · 数学 2015-06-04 Christian Gerhards

The Earth's magnetic field can be decomposed into spherical harmonics, and the exact coefficients of the decomposition can be determined through a few measurements of its value at different locations. Using measurements from a magnetometer…

地球物理 · 物理学 2025-08-20 Nuno Barros e Sá , Lourenço Faria , Bernardo Alves , Miguel Cymbron

Potential magnetic field solutions can be obtained based on the synoptic magnetograms of the Sun. Traditionally, a spherical harmonics decomposition of the magnetogram is used to construct the current and divergence free magnetic field…

太阳与恒星天体物理 · 物理学 2011-05-02 Gabor Toth , Bart van der Holst , Zhenguang Huang

Internal-external field separation is crucial for many aspects of geomagnetism, aiming at distinguishing contributions of the magnetic field generated within the Earth (or any other planet) from those produced in the exterior. When data is…

泛函分析 · 数学 2026-03-06 X. Huang , C. Gerhards , Z. Ren

Recovering spherical magnetizations $m$ from magnetic field data in the exterior is a highly non-unique problem. A spherical Hardy-Hodge decomposition supplies information on what contributions of the magnetization $m$ are recoverable but…

偏微分方程分析 · 数学 2016-08-04 Christian Gerhards

We obtained the magnetic field configurations, including both poloidal and toroidal components, throughout the interior and exterior of magnetars using a realistic equation of state. We divided the magnetized star into the hydromagnetic…

高能天体物理现象 · 物理学 2015-10-01 Kotaro Fujisawa , Shota Kisaka

The internal dynamics of the Sun generate magnetic and plasma structures in the photosphere and overlying atmosphere across a wide range of spatial scales. Identifying the critical spatial scale is essential for interpreting physical…

太阳与恒星天体物理 · 物理学 2026-04-14 Ananya Hore , Prantika Bhowmik

This paper presents a method for the approximation of harmonic potentials that combines downward continuation of globally available data on a sphere $\Omega_R$ of radius $R$ (e.g., a satellite's orbit) with locally available data on a…

数值分析 · 数学 2015-07-07 Christian Gerhards

Using one-dimensional models, we show that a helical magnetic field with an appropriate sign of helicity can compensate the Faraday depolarization resulting from the superposition of Faraday-rotated polarization planes from a spatially…

宇宙学与河外天体物理 · 物理学 2014-04-23 Axel Brandenburg , Rodion Stepanov

Reconstructing magnetizations from measurements of the generated magnetic potential is generally non-unique. The non-uniqueness still remains if one restricts the magnetization to those induced by an ambient magnetic dipole field (i.e., the…

地球物理 · 物理学 2017-07-21 Christian Gerhards

Bounds on the amplitude of a scale-invariant stochastic primordial magnetic field (PMF) can be significantly improved by measurements of the Faraday Rotation (FR) of CMB polarization. The mode-coupling correlations induced by FR make it…

宇宙学与河外天体物理 · 物理学 2014-03-26 Levon Pogosian

One of the most intriguing features of Earth's axial magnetic dipole field, well-known from the geological record, is its occasional and unpredictable reversal of polarity. Understanding the phenomenon is rendered very difficult by the…

地球物理 · 物理学 2019-01-02 Christian R. Scullard , Bruce A. Buffett

The presence of magnetized anomalies in the shell of the Earth interrupts its geomagnetic field. We consider the inverse problem of identifying the anomalies by monitoring the variation of the geomagnetic field. Motivated by the theoretical…

数值分析 · 数学 2023-01-31 Rongliang Chen , Youjun Deng , Yang Gao , Jingzhi Li , Hongyu Liu

Coronal magnetic field may be characterized by how its field lines interconnect regions of opposing photospheric flux -- its connectivity. Connectivity can be quantified as the net flux connecting pairs of opposing regions, once such…

天体物理学 · 物理学 2011-02-11 D. W. Longcope , G. Barnes , C. Beveridge

(Abridged) This paper introduces the formalism which connects between rotation measure ($\RM$) measurements for extragalactic sources and the cosmological magnetic field power spectrum. It is shown that the amplitude and shape of the…

天体物理学 · 物理学 2016-08-30 Tsafrir Kolatt

Faraday rotation measures (RMs) of the polarized emission from extragalactic radio sources occulted by the coronal plasma were used to infer the radial profile of the inner heliospheric magnetic field near solar minimum activity. By…

太阳与恒星天体物理 · 物理学 2013-05-20 S. Mancuso , M. V. Garzelli

When modeling global satellite data to recover a planetary magnetic or gravitational potential field and evaluate it elsewhere, the method of choice remains their analysis in terms of spherical harmonics. When only regional data are…

地球物理 · 物理学 2017-10-11 Alain Plattner , Frederik J. Simons

Magnetic field strengths in objects ranging from HII regions to cosmological large scale structure can be estimated using dense grids of Rotation Measures (RMs) from polarized background radio structures. Upcoming surveys on the SKA and its…

星系天体物理 · 物理学 2019-01-29 Lawrence Rudnick

Besides their own intrinsic interest, correct interpretation of solar surface magnetic field observations is crucial to our ability to describe the global magnetic structure of the solar atmosphere. Photospheric magnetograms are often used…

太阳与恒星天体物理 · 物理学 2010-10-29 Gordon J. D. Petrie , Irina Patrikeeva

Magnetic fields are an energetically important component of star-formation galaxies, but it is often difficult to measure their properties from observations. One of the complexities stems from the fact that the magnetic fields, especially…

星系天体物理 · 物理学 2024-08-09 Amit Seta , Christoph Federrath
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