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1.
We demonstrate that the azimuthal ambiguity that is present in solar vector magnetogram data can be resolved with line-of-sight
and horizontal heliographic derivative information by using the divergence-free property of magnetic fields without additional
assumptions. We discuss the specific derivative information that is sufficient to resolve the ambiguity away from disk centre,
with particular emphasis on the line-of-sight derivative of the various components of the magnetic field. Conversely, we also
show cases where ambiguity resolution fails because sufficient line-of-sight derivative information is not available. For
example, knowledge of only the line-of-sight derivative of the line-of-sight component of the field is not sufficient to resolve the ambiguity away from disk centre. 相似文献
2.
A. D. Crouch 《Solar physics》2013,282(1):107-131
We investigate how the azimuthal ambiguity in solar vector magnetogram data can be resolved by using the divergence-free property of magnetic fields. In a previous article, by Crouch, Barnes, and Leka?(Solar Phys. 260, 271, 2009), error-free synthetic data were used to test several methods that each make a different assumption about how the divergence-free property can be used to resolve the ambiguity. In this paper this testing is continued with an examination of the effects of Poisson photon noise and limited instrumental spatial resolution. We find that all currently available methods based on the divergence-free property can produce undesirable results when photon noise or unresolved structure is present in the data. We perform a series of experiments aimed at improving the performance of the global minimisation method, which is the most promising of the methods. We present a two-step approach that produces reasonable results in tests using synthetic data. The first step of this approach involves the global minimisation of a combination of the absolute value of the approximation for the divergence and a smoothness constraint, which is designed to minimise the difference between the magnetic field in neighbouring pixels. In the second step, pixels with measurements known to be strongly affected by photon noise are revisited with a smoothing algorithm that also seeks to minimise the difference between the magnetic field in neighbouring pixels. 相似文献
3.
Thomas R. Metcalf K. D. Leka Graham Barnes Bruce W. Lites Manolis K. Georgoulis A. A. Pevtsov K. S. Balasubramaniam G. Allen Gary Ju Jing Jing Li Y. Liu H. N. Wang Valentyna Abramenko Vasyl Yurchyshyn Y.-J. Moon 《Solar physics》2006,237(2):267-296
We report here on the present state-of-the-art in algorithms used for resolving the 180° ambiguity in solar vector magnetic
field measurements. With present observations and techniques, some assumption must be made about the solar magnetic field
in order to resolve this ambiguity. Our focus is the application of numerous existing algorithms to test data for which the
correct answer is known. In this context, we compare the algorithms quantitatively and seek to understand where each succeeds,
where it fails, and why. We have considered five basic approaches: comparing the observed field to a reference field or direction,
minimizing the vertical gradient of the magnetic pressure, minimizing the vertical current density, minimizing some approximation
to the total current density, and minimizing some approximation to the field's divergence. Of the automated methods requiring
no human intervention, those which minimize the square of the vertical current density in conjunction with an approximation
for the vanishing divergence of the magnetic field show the most promise. 相似文献
4.
随着"环日轨道器"(Solar Orbiter, SO)的在轨运行,太阳磁场观测进入了双视角遥测的时代.对利用太阳磁场的双视角观测改正矢量磁图中存在的横场(垂直于视线方向的磁场分量) 180°不确定性进行了模拟,首先模拟了对解析解得到磁图的双视角观测,然后利用"日震学和磁学成像仪"(Helioseismic and Magnetic Imager, HMI)在不同时间观测到的一个老化黑子的磁图模拟了双视角观测.发现要改正一个磁图中横场方向的180°不确定性,在观测上只需要另外一个平行于视线方向的磁场即纵向磁场观测的协助.利用HMI的磁场观测模拟,估算显示30°的张角能够改正50 Gs磁场中的180°不确定性.更大的张角虽然更有利于更弱磁场的改正,但是考虑到投影效应的不利影响, 30°左右的张角应该是未来空间设备进行多视角观测太阳磁场的最佳张角. 相似文献
5.
We developed a code for the reconstruction of nonlinear force-free and non-force-free coronal magnetic fields. The 3D magnetic
field is computed numerically with the help of an optimization principle. The force-free and non-force-free codes are compiled
in one program. The force-free approach needs photospheric vector magnetograms as input. The non-force-free code additionally
requires the line-of-sight integrated coronal density distribution in combination with a tomographic inversion code. Previously
the optimization approach has been used to compute magnetic fields using all six boundaries of a computational box. Here we
extend this method and show how the coronal magnetic field can be reconstructed only from the bottom boundary, where the boundary
conditions are measured with vector magnetographs. The program is planed for use within the Stereo mission. 相似文献
6.
《天文和天体物理学研究(英文版)》2016,(6)
It has been found that photospheric magnetic fields can change in accordance with restructuring of the three-dimensional magnetic field following solar eruptions.Previous studies mainly use vector magnetic field data taken for events near the disk center.In this paper,we analyze the magnetic field evolution associated with the 2012 October 23 X1.8 flare in NOAA AR 11598 that is close to the solar limb,using both the 45 s cadence line-of-sight and 12 min cadence vector magnetograms from the Helioseismic and Magnetic Imager on board Solar Dynamics Observatory.This flare is classified as a circular-ribbon flare with spine-fan type magnetic topology containing a null point.In the line-of-sight magnetograms,there are two apparent polarity inversion lines(PILs).The PIL closer to the limb is affected more by the projection effect.Between these two PILs there lie positive polarity magnetic fields,which are surrounded by negative polarity fields outside the PILs.We find that after the flare,both the apparent limb-ward and disk-ward negative fluxes decrease,while the positive flux in-between increases.We also find that the horizontal magnetic fields have a significant increase along the disk-ward PIL,but in the surrounding area,they decrease.Synthesizing the observed field changes,we conclude that the magnetic fields collapse toward the surface above the disk-ward PIL as depicted in the coronal implosion scenario,while the peripheral field turns to a more vertical configuration after the flare.We also suggest that this event is an asymmetric circular-ribbon flare:a flux rope is likely present above the disk-ward PIL.Its eruption causes instability of the entire fan-spine structure and the implosion near that PIL. 相似文献
7.
Complex sunspots in four active regions of April and May 1980, all exhibiting regions of magnetic classification delta, were studied using data from the NASA Marshall Space Flight Center vector magnetograph. The vector magnetic field structure in the vicinity of each delta was determined, and the location of the deltas in each active region was correlated with the locations and types of flare activity for the regions. Two types of delta-configuration were found to exist, active and inactive, as defined by the relationships between magnetic field structure and activity. The active delta exhibited high flare activity, strong horizontal gradients of the longitudinal (line-of-sight) magnetic field component, a strong transverse (perpendicular to line-of-sight) component, and a highly non-potential orientation of the photospheric magnetic field, all indications of a highly sheared magnetic field. The inactive delta, on the other hand, exhibited little or no flare production, weaker horizontal gradients of the longitudinal component, weaker transverse components, and a nearly potential, non-sheared orientation of the magnetic field. We conclude that the presence of such sheared fields is the primary signature by which the active delta may be distinguished, and that it is this shear which produces the flare activity of the active delta.NASA Graduate Student Research Fellow. 相似文献
8.
The 180-degree ambiguity in magnetic field direction along polarity reversal boundaries can be resolved often and reliably
by the chiral method. The chiral method requires (1) identification of the chirality of at least one solar feature related
to a polarity reversal boundary along which the field direction is sought and (2) knowledge of the polarity of the network
magnetic field on at least one side of the polarity reversal boundary. In the context of the Sun, chirality is an observable
signature of the handedness of the magnetic field of a solar feature. We concentrate on how to determine magnetic field direction
from chirality definitions and illustrate the technique in eight examples. The examples cover the spectrum of polarity boundaries
associated with filament channels and filaments ranging from those connected with active regions to those on the quiet Sun.
The applicability of the chiral method to all categories of filaments supports the view that active region filaments and quiescent
filaments are the extreme ends in a continuous spectrum of filaments.
The chiral method is almost universally applicable because many types of solar features that reveal chirality are now readily
seen in solar images accessible over the World Wide Web; also there are clear differences between left-handed and right-handed
solar structures that can be identified in both high- and low-resolution data although high-resolution images are almost always
preferable. In addition to filaments and filament channels, chirality is identifiable in coronal loop systems, flare loop
systems, sigmoids, some sunspots, and some erupting prominences. Features other than filament channels and filaments can be
used to resolve the 180-degree ambiguity because there is a one-to-one relationship between the chiralities of all features
associated with a given polarity reversal boundary.
Y. Lin is now at the Institute of Theoretical Astrophysics, University of Oslo. 相似文献
9.
Magnetic fields and the structure of the solar corona 总被引：6，自引：0，他引：6
Several different mathematical methods are described which use the observed line-of-sight component of the photospheric magnetic field to determine the magnetic field of the solar corona in the current-free (or potential-field) approximation. Discussed are (1) a monopole method, (2) a Legendre polynomial expansion assuming knowledge of the radial photospheric magnetic field, (3) a Legendre polynomial expansion obtained from the line-of-sight photospheric field by a least-meansquare technique, (4) solar wind simulation by zero-potential surfaces in the corona, (5) corrections for the missing flux due to magnetograph saturation. We conclude (1) that the field obtained from the monopole method is not consistent with the given magnetic data because of non-local effects produced by monopoles on a curved surface, (2) that the field given by a Legendre polynomial (which is fitted to the measured line-of-sight magnetic field) is a rigorous and self-consistent solution with respect to the available data, (3) that it is necessary to correct for the saturation of the magnetograph (at about 80 G) because fields exceeding 80 G provide significant flux to the coronal field, and (4) that a zero-potential surface at 2.5 solar radii can simulate the effect of the solar wind on the coronal magnetic field. 相似文献
10.
We undertake a first attempt towards a consistent reconstruction of the coronal magnetic field and the coronal density structure. We consider a stationary solar corona which has to obey the equations of magnetohydrostatics. We solve these equations with help of a newly developed optimization scheme. As a first step we illustrate how tomographic information can be included into the reconstruction of coronal magnetic fields. In a second step we use coronal magnetic field information to improve the tomographic inversion process. As input the scheme requires magnetic field measurements on the photosphere from vector-magnetographs and the line-of-sight integrated density distribution from coronagraphs. We test our codes with well-known analytic magnetohydrostatic equilibria and models. The program is planned for use within the STEREO mission. 相似文献
11.
K. D. Leka Graham Barnes A. D. Crouch Thomas R. Metcalf G. Allen Gary Ju Jing Y. Liu 《Solar physics》2009,260(1):83-108
The objective testing of algorithms for performing ambiguity resolution in vector magnetic field data is continued, with an
examination of the effects of noise in the data. Through the use of analytic magnetic field models, two types of noise are
“added” prior to resolving: noise to simulate Poisson photon noise in the observed polarization spectra, and a spatial binning
to simulate the effects of unresolved structure. The results are compared through the use of quantitative metrics and performance
maps. We find that while no algorithm severely propagates the effects of Poisson noise beyond very local influences, some
algorithms are more robust against high photon-noise levels than others. In the case of limited spatial resolution, loss of
information regarding fine-scale structure can easily result in erroneous solutions. Our tests imply that photon noise and
limited spatial resolution can act so as to make assumptions used in some ambiguity resolution algorithms no longer consistent
with the observed magnetogram. We confirm a finding of the earlier comparison study that results can be very sensitive to
the details of the treatment of the observed boundary and the assumptions governing that treatment. We discuss the implications
of these findings, given the relative sensitivities of the algorithms to the two sources of noise tested here. We also touch
on further implications for interpreting observational vector magnetic field data for general solar physics research. 相似文献
12.
R. Grant Athay Charles W. Querfeld Raymond N. Smartt Egidio Landi Degl'innocenti Veronique Bommier 《Solar physics》1983,89(1):3-30
Observations of linear polarization in two resolved components of HeI D3 are interpreted using the Hanle effect to determine vector magnetic fields in thirteen prominences. As in all vector magnetic field measurements, there is a two-fold ambiguity in field direction that is symmetric to a 180° rotation about the line-of-sight. The polar angles of the fields show a pronounced preference to be close to 90° from the local solar radius, i.e., the field direction is close to horizontal. Azimuth angles show internal consistency from point to point in a given prominences, but because of the rotational symmetry, the fields may be interpreted, in most cases, as crossing the prominence either in the same sense as the underlying photospheric fields or in the opposite sense. An exceptionally well observed large prominence of approximately planar geometry exhibits no measurable change in the vector magnetic field either with height or with location along the prominence axis. A second well observed large prominence overlying a sharply curved magnetic neutral line, when interpreted assuming that the prominence field has the same sense as the photospheric field, shows a rotation in the azimuth angle of the field relative to the observer by about 150° and relative to the local plane of the prominence by about 65°. In the alternative interpretation in which the prominence field has the opposite sense of the photospheric field, the field still rotates by 150° relative to the observer but remains essentially constant with respect to the plane of the prominence. This prominence erupted shortly after the extended observations. One good quality observation during the course of the eruption gives a vector field fully consistent with the pre-eruption field in the same segment of the prominence. 相似文献
13.
Based on photospheric vector magnetograms obtained at Huairou Solar Observing Station (HSOS), non-potential characteristics of the magnetic field beneath the filament in active region NOAA 9077 are investigated. We focus on the structure and evolution of the magnetic field from 00:08 UT to 10:25 UT of 14 July before the Bastille event. Particular attention is paid to transverse field strength, shear degree and horizontal gradient of the line-of-sight magnetic field around the filament and filament channel. The following characteristics are found. (1) The magnetic non-potentiality has an obviously non-uniform distribution. The shear degree of the transverse field (Hagyard et al., 1984) is very large, up to 75° in some sites beneath the filament, such as the initial brightening site in TRACE 1600 Å images and the breaking site of the filament. The transverse field and the horizontal gradient of the line-of-sight field are very large in some parts corresponding to the hottest and continuously brightening portions. (2) The mean strength and mean shear angle of the transverse field and mean horizontal gradient of the line-of-sight field have obviously dropped in most parts beneath the filament for two hours before the filament eruption and onset of the X5.7/3B flare. After comparing simultaneous UV and EUV images, H filtergrams and Dopplergrams at solar atmosphere, we suggest that magnetic cancellation is likely to quickly transport the magnetic energy and complexity into the higher atmosphere in these two hours. This leads to magnetic instability in the filament and eventually causes the eruption of filament and onset of the flare. 相似文献
14.
We evaluate the performances of two newly-implemented codes for extrapolating the solar linear force-free magnetic fields,
by measuring their quantified responses to the lower boundary vector field data on a finite region using analytical models.
The codes are based on two boundary integral formulas with different mechanisms in utilizing the transverse boundary field:
the first one only utilizes the transverse boundary field to derive the value of the force-free parameter, while the other
one explicitly utilizes the whole transverse boundary field, in addition to the vertical field component. Studies on the test
cases show that both of the codes could reproduce the analytical model fields with reasonable accuracy within the valid domain,
provided a sufficient amount of data is available at the lower boundary. The code utilizing explicitly all three components
of the boundary field shows generally better performances and requires a smaller boundary-data area in order to achieve the
same degree of accuracy in the metric quantities such as the normalized vector error, vector correlation, vector angular difference,
and magnetic energy; however, the accuracy in the divergence-free metric and especially the force-free metric are less ideal. 相似文献
15.
Jing-Qun Li Jing-Xiu Wang Feng-Si WeiNational Astronomical Observatories Chinese Academy of Sciences Beijing lee@ourstar.bao.ac.cnCenter for Space Science Applied Researches Chinese Academy of Sciences Beijing 《中国天文和天体物理学报》2003,3(3):247-256
Inspired by the analogy between the magnetic field and velocity field of incompressible fluid flow, we propose a fluid dynamics approach for computing nonlinear force-free magnetic fields. This method has the advantage that the divergence-free condition is automatically satisfied, which is a sticky issue for many other algorithms, and we can take advantage of modern high resolution algorithms to process the force-free magnetic field. Several tests have been made based on the well-known analytic solution proposed by Low & Lou. The numerical results are in satisfactory agreement with the analytic ones. It is suggested that the newly proposed method is promising in extrapolating the active region or the whole sun magnetic fields in the solar atmosphere based on the observed vector magnetic field on the photosphere. 相似文献
16.
M. J. Hagyard 《Solar physics》1988,115(1):107-124
We have analyzed the vector magnetic field of an active region at a location of repeated flaring to determine the nature of the currents flowing in the areas where the flares initiated. The component of electric current density crossing the photosphere along the line-of-sight was derived from the observed transverse component of the magnetic field. The maximum concentrations of these currents occurred exactly at the sites of flare initiation and where the photospheric field was sheared the most. The calculated distribution of current density at the flare sites suggested that currents were flowing out of an area of positive magnetic polarity and across the magnetic inversion line into two areas of negative polarity. This interpretation was reinforced by a calculation of the source field, the magnetic field produced in the photosphere by the electric currents above the photosphere. In the vicinity of the flare sites, the calculated source field exhibited three particular characteristics: (1) maximum magnitudes at the sites of flare initiation, (2) a rotational direction where the vertical current density was concentrated, and (3) a fairly constant angular orientation with the magnetic inversion line. The source field was thus very similar to the field produced by two arcades of currents crossing the inversion line at the locations of greatest magnetic shear with orientations of about 60° to the inversion line. With this orientation, the inferred arcades would be aligned with the observed chromospheric fibrils seen in the H data so that the currents were field-aligned above the photosphere. The field thus exhibited a vertical gradient of magnetic shear with the shear decreasing upward from the photosphere. We estimated the currents in the two arcades by matching the source field derived from observations with that produced by a model of parallel loops of currents. We found that the loops of the model would each have a radius of 4500 km, a separation of 1830 km, and carry a current of 0.15 × 1012 A. Values of vertical current densities and source fields appearing in the umbrae of the two large sunspots away from the flare sites were shown to lie at or below the level of uncertainty in the data. The main source of this uncertainty lay in the method by which the 180° ambiguity in the azimuth of the transverse field is resolved in umbral areas. We thus concluded that these quantities in large umbrae should be treated with a healthy skepticism. Finally, we found that the source field at the flare sites was produced almost entirely by the angular difference between the observed and potential field and not by the difference in field intensity. 相似文献
17.
Thomas G. Moran Donald E. Jennings L. Drake Deming George H. McCabe Pedro V. Sada Robert J. Boyle 《Solar physics》2007,241(2):213-222
We present the first solar vector magnetogram constructed from measurements of infra-red Mg I 12.32-μm line spectra. Observations
were made at the McMath-Pierce Telescope using the Celeste spectrometer/polarimeter. Zeeman-split Stokes line spectra were
fitted with Seares profiles to obtain the magnetic field parameters. Maps of absolute field strength, line-of-sight angle,
and azimuth are presented. Analysis shows that the variation in field strength within a spatial resolution element, 2 arcseconds,
is greatest in the sunspot penumbra and that this is most likely caused by vertical field strength gradients, rather than
horizontal image smearing. Widths of the Zeeman-split σ components, assuming a formation layer thickness of 200 km, indicate that vertical field strength gradients can be as large
as 6.5 G/km in a penumbra. 相似文献
18.
J. Todd Hoeksema Yang Liu Keiji Hayashi Xudong Sun Jesper Schou Sebastien Couvidat Aimee Norton Monica Bobra Rebecca Centeno K. D. Leka Graham Barnes Michael Turmon 《Solar physics》2014,289(9):3483-3530
The Helioseismic and Magnetic Imager (HMI) began near-continuous full-disk solar measurements on 1 May 2010 from the Solar Dynamics Observatory (SDO). An automated processing pipeline keeps pace with observations to produce observable quantities, including the photospheric vector magnetic field, from sequences of filtergrams. The basic vector-field frame list cadence is 135 seconds, but to reduce noise the filtergrams are combined to derive data products every 720 seconds. The primary 720 s observables were released in mid-2010, including Stokes polarization parameters measured at six wavelengths, as well as intensity, Doppler velocity, and the line-of-sight magnetic field. More advanced products, including the full vector magnetic field, are now available. Automatically identified HMI Active Region Patches (HARPs) track the location and shape of magnetic regions throughout their lifetime. The vector field is computed using the Very Fast Inversion of the Stokes Vector (VFISV) code optimized for the HMI pipeline; the remaining 180° azimuth ambiguity is resolved with the Minimum Energy (ME0) code. The Milne–Eddington inversion is performed on all full-disk HMI observations. The disambiguation, until recently run only on HARP regions, is now implemented for the full disk. Vector and scalar quantities in the patches are used to derive active region indices potentially useful for forecasting; the data maps and indices are collected in the SHARP data series, hmi.sharp_720s. Definitive SHARP processing is completed only after the region rotates off the visible disk; quick-look products are produced in near real time. Patches are provided in both CCD and heliographic coordinates. HMI provides continuous coverage of the vector field, but has modest spatial, spectral, and temporal resolution. Coupled with limitations of the analysis and interpretation techniques, effects of the orbital velocity, and instrument performance, the resulting measurements have a certain dynamic range and sensitivity and are subject to systematic errors and uncertainties that are characterized in this report. 相似文献
19.
We present a technique for automatic determination of flare ribbon separation and the energy released during the course of two-ribbon flares. We have used chromospheric Hα filtergrams and photospheric line-of-sight magnetograms to analyse flare ribbon separation and magnetic field structures, respectively. Flare ribbons were first enhanced and then extracted by the technique of “region growing”, i.e., a morphological operator to help resolve the flare ribbons. Separation of flare ribbons was then estimated from the magnetic-polarity reversal line using an automatic technique implemented into an Interactive Data Language (IDLTM) platform. Finally, the rate of flare-energy release was calculated using photospheric magnetic field data and the corresponding separation of the chromospheric Hα flare ribbons. This method could be applied to measure the motion of any feature of interest (e.g., intensity, magnetic, Doppler) from a given point of reference. 相似文献
20.
The availability of vector-magnetogram sequences with sufficient accuracy and cadence to estimate the temporal derivative
of the magnetic field allows us to use Faraday’s law to find an approximate solution for the electric field in the photosphere,
using a Poloidal–Toroidal Decomposition (PTD) of the magnetic field and its partial time derivative. Without additional information,
however, the electric field found from this technique is under-determined – Faraday’s law provides no information about the
electric field that can be derived from the gradient of a scalar potential. Here, we show how additional information in the
form of line-of-sight Doppler-flow measurements, and motions transverse to the line-of-sight determined with ad-hoc methods such as local correlation tracking, can be combined with the PTD solutions to provide much more accurate solutions
for the solar electric field, and therefore the Poynting flux of electromagnetic energy in the solar photosphere. Reliable,
accurate maps of the Poynting flux are essential for quantitative studies of the buildup of magnetic energy before flares
and coronal mass ejections. 相似文献