Abstract
Type III solar radio bursts are the Sun’s most intense and frequent nonthermal radio emissions. They involve two critical problems in astrophysics, plasma physics, and space physics: how collective processes produce nonthermal radiation and how magnetic reconnection occurs and changes magnetic energy into kinetic energy. Here magnetic reconnection events are identified definitively in Solar Dynamics Observatory UV-EUV data, with strong upward and downward pairs of jets, current sheets, and cusp-like geometries on top of time-varying magnetic loops, and strong outflows along pairs of open magnetic field lines. Type III bursts imaged by the Murchison Widefield Array and detected by the Learmonth radiospectrograph and STEREO B spacecraft are demonstrated to be in very good temporal and spatial coincidence with specific reconnection events and with bursts of X-rays detected by the RHESSI spacecraft. The reconnection sites are low, near heights of 5–10 Mm. These images and event timings provide the long-desired direct evidence that semi-relativistic electrons energized in magnetic reconnection regions produce type III radio bursts. Not all the observed reconnection events produce X-ray events or coronal or interplanetary type III bursts; thus different special conditions exist for electrons leaving reconnection regions to produce observable radio, EUV, UV, and X-ray bursts.
Introduction
Satellites and ground instruments often observe intense radio waves and X-rays. Their sources include the Sun, Jupiter, supernovae, pulsars, the galactic centre, and active galactic nuclei, as well as lightning flashes, the auroral regions, and magnetosphere of the Earth. Most X-rays are produced when energetic electrons collide with other particles in the plasma (ionised gas). Similar single-particle processes produce some radio emissions (e.g., synchrotron emission from supernovae) but are relatively weak. The brightest radio sources (e.g., the Sun and pulsars) involve collective processes, in which energised plasma particles interact collectively to generate intense plasma waves and radio emission. Magnetic reconnection, in which magnetic energy is converted into directed particle kinetic energy and heated plasma, is very attractive as both the energy release mechanism and the source of energetic particles producing radio and X-ray bursts. Multiple critical problems remain unsolved in astronomy, space physics, and plasma physics concerning how magnetic reconnection and collective radio emissions occur.
Type III solar radio bursts1–4 are the Sun’s most intense and frequent transient nonthermal emissions and are one of four known archetypes for collective nonthermal radio emission from plasmas5. Type III bursts (often abbreviated below as “type IIIs”) are produced near the electron plasma frequency fp and near 2fp by linear and nonlinear processes involving Langmuir waves generated near fp by a fast beam of electrons with speeds ≈ (0.1–0.7)c1–6. (Here c is the speed of light and in SI units fp ≈ 9 ne1/2 Hz, where ne is the ambient plasma’s electron number density.) Spacecraft in the solar wind routinely detect the fast electrons, Langmuir waves, and radio emission7–12. Type IIIs drift rapidly from frequencies of order 200 MHz to 20 MHz in a few to 30 seconds and from 20 MHz to 20 kHz in an hour, as the electrons move from radial distances below 1.2 solar radii (RS) from the Sun’s centre to several RS and then through the interplanetary medium (solar wind) to 1 AU (215 RS), respectively. For over 50 years the source of type III electrons has been believed but not proven to be solar magnetic reconnection regions2,3,13–16. Electrons are energized there, either by electric fields parallel to the magnetic field or by wave-particle interactions, and develop a localized beam or bump in velocity space due to faster electrons outrunning slower electrons from a transient release, often called “time-of-flight” effects.
Magnetic reconnection is a fundamental but relatively poorly observed and understood process for the conversion of magnetic field energy into plasma motion, energized/heated plasma, and changing magnetic topologies13,14. It is considered to be important in multiple laboratory, space, and astrophysical contexts, including solar flares13–16, coronal mass ejections17 and transient radio and X-ray2,3,18–21 events. The standard microscopic picture involves two plasma regions with antiparallel magnetic fields ±B moving together (Fig. 1a), resulting in a current sheet along their joint boundary with thickness between the electron and ion gyroradii. Large currents and electric fields exist in the current sheet. When suitable anomalous resistivity and inflows occur, the magnetic field lines are reconnected into a different topology and expelled with the plasma almost along the current sheet at speeds close to the Alfven speed. Heated and accelerated particles also escape along magnetic field lines close to the boundary between the reconnected and original field lines. Thus, the plasma outflow and energetic particles are expected to form two pairs of “jets”, with one jet on each side of each end of the current sheet (Fig. 1a). These jets can be close to parallel, as found here for the outgoing jets, or widely diverging, as found here for downgoing jets that connect to well-separated loop footpoints. Mechanisms for energizing and heating the particles are discussed elsewhere22,23.
Consider a solar loop with a “cusp” current sheet near the apex (Fig. 1b), where the magnetic field strength is weakest. Plasmas are naturally turbulent over a wide range of macroscopic scales down to the ion gyroradius (and below), corresponding to local changes in the direction and magnitude of B plus other plasma parameters. Twisting and motion of the magnetic field lines near the current sheet, due to turbulence and external forces, then cause the anti-parallel field lines in the current sheet to move together, leading to magnetic reconnection. This plausibly develops in a macroscopic and observable volume for several reasons: folding and twisting of the current sheet in 3D by turbulence causes multiple regions with anti-parallel B (and so reconnection) to develop24–27; the current sheet is unstable along its axis to so-called tearing instabilities; these two effects plus any “guide” magnetic field (into the page) break translational symmetry along the line of sight and dramatically broaden the current sheet27; and projection effects when the 3D loop-cusp structure is viewed at a significant angle to the loop’s symmetry plane. Thus, reconnection in a realistic coronal loop – cusp structure is expected to develop along the lines in Fig. 1c, with a macroscopic current sheet that has multiple embedded microscopic reconnection regions (Fig. 1a) with outflows. Although fine structures are likely, the combination of these individual regions should lead to two bulk reconnection outflows, one Sunwards and one outwards, and to two pairs of jets of energetic particles, one pair Sunwards towards two magnetic footpoints and one pair outwards along open field lines (Fig. 1c). These pairs of macroscopic jets of energetic particles are required by the macroscopic symmetries and connections of the magnetic field: each downgoing jet goes to one magnetic footpoint, while two separate outgoing jets develop due to the cusp geometry having oppositely directed B fields on each side of the cusp at large distances.
Pairs of jets have not yet been observed. Yohkoh and Hinode X-ray images15,16,28–31 sometimes show large-scale X-ray jets and magnetic field configurations that are interpreted in terms of reconnection, bulk plasma motion (both outwards and Sunwards), and heating in or near the putative reconnection region. However, neither these nor recent published Solar Dynamics Observatory (SDO)31–33, TRACE34, or Hi-C35 images of reconnection spatially resolve the predicted pair structures and only a few discuss radio events31,33,34. Data from RHESSI and earlier satellites show bursts of X-rays produced near the tops and footpoints of magnetic loops, the latter when the energetic electrons and bulk outflow particles collide with chromospheric plasma and produce bremsstrahlung X-rays14–21,28–31,33,35. Whether the electrons producing the radio and X-ray emissions are the same or different remains unknown18–20,36,37, with further acceleration by parallel electric fields and/or wave-particle interactions possible36, similar to Earth’s auroral region.
Rapid observing cadences and simultaneous multi-wavelength imaging are necessary to go beyond statistical arguments and convincingly demonstrate causal connections between specific type III radio bursts, magnetic reconnection events, and X-ray bursts and thereby test the standard model for type III bursts. For instance, although an important step, finding a 60% time correlation on a minute timescale between EUV jets indicative of reconnection and interplanetary type III bursts (frequencies ~ 5 MHz and heights ~ 5 RS)31 is inadequate since type IIIs have a lifetime ~ 1–10 s near the electron source (f ~ 50–500 MHz) and there were no radio imaging or X-ray observations to demonstrate physical connections. Similarly, a recent important analysis of fragmentary decimetric type III bursts (type IIIdm) for 1–2 GHz (heights < 0.1 RS) without coronal and interplanetary extensions does show good radio – X-ray correlations in flux (over a factor of only ~ 2 in magnitude) and position33; however, the EUV event has a much larger duration than expected (7 minutes versus several ~ 20 s intervals), does not have the pair structure, cusp features, and macroscopic outflows expected for reconnection events, and detailed EUV – radio – X-ray correlations are not presented. Similar issues arise for weak fragmentary type IIIs in the range 250–600 MHz (without interplanetary extensions) for a limb event34 with X-ray sources at magnetic footpoints and multiple EUV jets that develop close to the footpoints and plausibly extend to the imaged radio sources. Thus, while a qualitative connection is widely accepted between X-ray events, type IIIs, and reconnection15,16,18–35, the detailed connections between type IIIs, reconnection events, solar flares, and X-ray events still need to be established.
Here we present definitive evidence for: first, solar magnetic reconnection events with double-sided jets, current sheets and cusp-like geometries on top of loops, plus strong outflow along pairs of open magnetic field lines; and, second, direct causal links between reconnection events and both large type III events (coronal and/or interplanetary) and X-ray bursts, with simultaneity in both time and spatial position. We also demonstrate the occurrence of other reconnection and X-ray events without well-correlated large type IIIs, as well as weak radio emissions at other times; these are interpreted as evidence for special conditions being necessary for the production of observable type III and X-ray emission by reconnection events. Novel data are used, including EUV-UV images from the Atmospheric Imaging Assembly (AIA)38,39 and EUVI instruments on NASA’s Solar Dynamics Observatory (SDO) and STEREO B spacecraft, respectively, AIA movies, radio dynamic spectra and images from the Murchison Widefield Array (MWA)40–43, radio dynamic spectra from the Learmonth radio spectrograph and STEREO B, and X-ray fluxes and images from NASA’s RHESSI spacecraft44.
Results
This paper addresses events during the period 01:05–01:30 UT on 25 September 2011. They originated in active region NOAA AR11302 (referred to without the prefix NOAA below), which had at least 3 large sunspots and was then located near the Sun’s east equatorial limb as viewed from Earth. Some of the events were associated with very weak but detectable X-ray flares observed by the GOES spacecraft near 01:11:50, 01:13:20, and 01:19:50 UT, but not with C or larger class X-ray flares once the background is subtracted. (See Supporting Material A for more detail).
Evidence for magnetic reconnection
SDO data from the AIA instrument38,39 provide direct evidence for magnetic reconnection occurring in AR11302 during this period. The evidence is in the form of images of enhanced 93–1700 Å EUV emissions with pairs of upward- and downward-directed jets, current sheets and cusp-like geometries on top of low-lying magnetic loops, and strong (upward) outflow events along open magnetic field lines that occur in pairs and are magnetically connected to the jets and cusp-like regions (Figs 2 and 3 plus, especially, Movies B1, B2 and B3 of Supporting Material B). These are the idealized signatures and geometry expected for magnetic reconnection in a symmetric current sheet at the top or side of a magnetic loop. Note that while the outflows and fast particles from reconnection regions should produce four jets in principle (a pair along ±B for each outflow direction), plasma inhomogeneities and spatial asymmetries may lead to jets being observably different and even unobservable.
In more detail, Fig. 2 shows snapshots of the large-scale environment and medium zooms of the 193 Å and 171 Å SDO-AIA data and 195 Å STEREO B–EUVI data for AR11302, Fig. 3 shows zoomed-in images for 171 Å and 193 Å SDO-AIA data, and Movies B1 and B2 show large-scale and zoomed-in 171 Å data. The top and middle pairs in Fig. 2 show views from the Sun-Earth direction (SDO) and STEREO B (near 120 degrees clockwise from Earth along Earth’s orbit), respectively, before and during reconnection events. The upper-left panel of Fig. 2 includes a potential field source surface (PFSS45) prediction for the coronal magnetic field near 1230 UT (see Method section). The PFSS predictions show good agreement with magnetic structures observed in the AIA data, including open B lines in the jet region and closed loops at low altitude. Noting the locations of the solar limb in these four images, the brightenings and activity are associated with open magnetic field lines and low-lying loops that are behind and southeast (viewed from Earth towards STEREO B) and well below the multiple-loop region in the foreground of the SDO images. Zoom images in Figs 2 and 3 and Movies B1 and B2 show jets that are connected to outflows along the open magnetic field lines (Movie B3), as well as brightenings at the footpoints of the low-lying loops. The strongly zoomed-in SDO images in Fig. 3 and Movie B2 demonstrate the existence of one or more long-lived time-varying current sheets with cusp-like geometries above the low-lying loops (near 01:11:40, 01:12:20, 01:19:00, and 01:21:10 UT particularly) and of connected transient double-sided jets oriented approximately southeast-northwest with paired structure in the southeast- and outwards-directed jets (near 01:11:40, 01:13:10, and 01:19:00 UT particularly), the latter partly obscured by overlying loops. The looping, forward-backward, nature of Movie B2 is particularly useful in showing pair structure in the downward-directed jets, which diverge widely and show clear downwards motion away from the reconnection site along two bundles of magnetic field lines connected to distinct foot points, one far and one apparently close to the reconnection site. Movie B2 also shows pairs of upward jets, plus activity on an even lower-lying magnetic structure. STEREO B data show pair structure for downward-directed jets going to distinct footpoints and show upward jets without clear pair structure, presumably due to the different viewing geometries and instrument resolutions and cadences.
The heights of the loops and current sheets of the reconnection regions are low, estimated to be < 5–10 Mm or 10−2 RS (solar radius) from a semi-circular approximation and the distances measured directly from Fig. 3 and Supporting Material B. The loops appear to be on their sides, oriented approximately southeast and not radially, with shorter distances from the current sheet to the more southeasterly footpoints than to the northwesterly footpoints. Analyses of other events yield larger heights: 15–30 Mm31, 15 Mm33, and 10–20 Mm34. Heights < 10 Mm correspond to the nominal chromosphere.
The electron temperature and density averaged over the cusp region are available using a differential emission measure (DEM) analysis described in the Methods section: the average, DEM-weighted, values are Te = 6.3 MK and ne ≈ 2.3 × 1010 cm−3. The cusp thus has a moderate flare temperature and is significantly hotter than the ambient corona (1 MK), consistent with reconnection occurring in the current sheet and heating the plasma.
The zoomed-in and large-scale SDO images in Figs 2 and 3 and Movies B1, B2, and B3 demonstrate the existence of strong transient outflows along pairs (typically) of open magnetic field lines that connect to the time-varying jets and cusp regions and that agree well with the PFSS model. Examples occur near 01:13:00–01:14:20, 01:16:00–01:17:20, 01:20:19–01:21:31, and 01:22:00–01:23.53 UT. Outflow speeds are estimated by defining a spatial domain containing the open field lines (white lines in Fig. 2’s bottom-left panel and the white box in Movie B3’s bottom panel) and measuring the position of peaks in the intensity as a function of position and time (Methods section). Ignoring projection effects, outflow speeds ≈ 170–330 km s−1 are found for 3 prominent events (Fig. 2’s bottom-right panel). These outflows are fast enough to be relevant to the solar wind’s origin and acceleration but are a factor 2–4 slower than the expected solar wind speeds beyond 10 RS. Since magnetic reconnection produces bulk outflows slower than the Alfven speed VA14–18, the observed outflows imply VA ≥ 170 km s−1. Combining the PFSS model’s value B ≈ 70 G in the cusp with an average electron number density ne ≈ 2.6 × 1010 cm−3 from the DEM analysis (Methods section) yields VA ≈ 1000 ± 700 km s−1 in the cusp. This estimate is consistent with the outflows corresponding to reconnection, albeit without realistic uncertainty estimates and with lower VA expected further along the current sheet. The corresponding electron beta, the ratio of thermal to magnetic energy, is βe ≈ 0.10. Note that the bulk outflowing plasma is not responsible for the radio emission events described next.
Type III radio bursts
Strong coronal type III radio events occurred in two outbursts, 01:18:50–01:19:20 and 01:22:00–01:22:35 UT, from approximately 410 MHz to below 25 MHz, as shown in Fig. 4(a) by detections at 410 and 245 MHz by the Radio Solar Telescope Network (RSTN) station at Learmonth and over the entire frequency range 25–180 MHz of the Learmonth radiospectrograph in Figs 4(b) and 5. These are classic type III bursts for outward moving electrons, as evidenced by the duration of each group of bursts increasing with decreasing frequency in Learmonth data and their extension in Fig. 4(c) into the interplanetary domain. The type IIIs agree very well in time with the major EUV/reconnection events, as demonstrated below.
Removal of Learmonth’s instrumental backgrounds and some interfering signals reveals (Fig. 5, bottom panel) that the 01:19 and 01:22 UT outbreaks of intense type IIIs are superposed on multiple weak emissions that are localized in frequency f and time t. Data from the prototype of the MWA40–43 (1/4 of the dipoles of the full MWA and poorer angular resolution) confirm both the 01:19 and 01:22 type III outbursts and the weak events (Fig. 5, top panel), although the 01:22 event mostly occurred during a change in observing mode. These weak events may be weak type III bursts that are above instrumental backgrounds only in limited f - t domains46–50 or short duration and small bandwidth events first detected by MWA40 and recently interpreted as evidence for localized coronal heating events49.
The 01:19 and 01:22 UT groups of metric type III bursts observed by Learmonth and MWA extend into the interplanetary domain and are clearly detected by the STEREO B spacecraft in the 0.5–16 MHz domain, as shown in Fig. 4(c). STEREO A detects neither event (not shown). Evidence that the STEREO B events are extensions of the 01:19 and 01:12 metric type IIIs includes the timing of the radio and EUV events, the locations of STEREO A and B off the Sun’s west and east limbs, respectively, and the reconnection events in Figs 2 and 3 being near the Sun’s east limb (so that STEREO B is favoured to detect the radio emission). A data gap 01:00–02:00 UT for the radio instrument on the Wind spacecraft, located near the Sun-Earth line, precludes checking these interpretations and arguments using Wind data. In addition, STEREO B data (but not STEREO A data) show 3–4 interplanetary type IIIs that peak in the range 10–16 MHz near 01:09:30, 01:10:30 (these last two may be the same event), 01:12:30, and 01:14:30, being between 15 and 40 dB above background. Again, STEREO A detects none of these events, thus supporting an eastern source. Interplanetary type IIIs without significant metric type III emission thus occur in association with many of the SDO/AIA outbursts.
Radio, X-ray, and EUV/UV source regions
The first MWA image of a type III source region, Fig. 6(a) superposes MWA’s 0122 UT radio source at 138 MHz (in a single 40 kHz channel for a 1-s snapshot) onto the SDO satellite’s AIA image at 304 Å from 01:13 UT. The radio source for this time and frequency is consistent with the spatial locations of AR11302, the SDO EUV events in Figs 1 and 2, and the radio results for other frequencies and times during this event. A Gaussian fit to the radio intensity image gives a radio source size of <15″, much less than half a solar radius. Images near 01:19 UT yield similar results but with worse angular resolution since f < 107 MHz for those MWA observations. (The full MWA has improved spatial resolution and sensitivity, recently exploited to interpret novel type III dynamics in terms of diverging magnetic fields for an event also associated with EUV jets43).
Figure 6(b) compares the SDO 193 Å image for time 01:19:07 UT with the source locations of impulsive X-rays in the bands 6–12 keV and 6–25 keV measured by RHESSI44. The regions of high 6–25 keV intensity coincide with SDO’s northeast-directed (downgoing) reconnection jet, consistent with electrons from the reconnection region producing the X-rays. These regions appear first in this image. Similar results are found for the 01:22 UT event. In contrast, the weak source near (X,Y) ≈ (−700″,150″) in Fig. 7(b) started near 01:18:00 UT and disappeared shortly after 01:19:07 UT. It appears unrelated to the SDO reconnection jets and the type IIIs.
Temporal and causal relationships between the EUV, radio, and X-ray events
Close temporal connections are demonstrated quantitatively in Fig. 7 between the (metric) radio, EUV, and X-ray emissions. These “light curves” show unequivocally that the strong type III bursts are associated with major impulsive increases in EUV and UV emission (from 93 to 1700 Å) and also with impulsive increases in 3–6 keV and 12–25 keV X-rays. STEREO data show these type IIIs continuing into the interplanetary medium to near 0.5 MHz. (The 3–25 keV onset near 01:18:00 UT is due to the weak source near (X,Y) ≈ (−700″,150″) in Fig. 6(b), whereas the peak near 01:19:05 UT and following activity is associated with the SDO reconnection jets). Thus, within the instrumental uncertainties, the radio, UV, EUV, and impulsive X-ray sources are temporally and spatially coincident. All the expected characteristics of magnetic reconnection are observed in the SDO images and the RHESSI X-ray data. Accordingly these new data and analyses provide the first direct evidence that the electron beams responsible for strong type III bursts flow away from and are produced in magnetic reconnection regions. This is the long-sought evidence for the standard model of type III bursts.
The SDO, Learmonth, MWA, RHESSI, STEREO, and GOES data in Figs 2–7 show that not all reconnection events or distinct bursts of enhanced EUV, UV, and impulsive X-ray emissions are associated with strong coronal and interplanetary type III bursts. First, the strong SDO, RHESSI, and GOES events near 01:12:30–01:14:00 UT are associated with either no metric radio events or at best very weak bursts localized in frequency and time, although the STEREO B radio event in the 10–16 MHz range near 01:13:30–01:15:00 UT is plausibly associated. Second, the strong, multiply-peaked EUV-UV emissions 01:08–01:13 UT are associated with neither enhanced X-rays nor metric radio bursts, but are associated with the 3–4 weak interplanetary type IIIs detected by STEREO B 01:08–01:14 UT (Fig. 4). Third, although the onsets and peaks in the EUV/UV emissions have clear counterparts in the X-rays for the period 01:19–01:23 UT (recognizing that X-ray profiles are much more spiky and are contaminated 01:18:10–01:19:10 UT by Fig. 6(b)’s confusion source), this is not true for the periods 01:08–01:13 and 01:23–01:24 UT. Indeed, many more X-ray and radio events occur after 01:15 UT than EUV/UV events, whereas the converse is true before 01:15 UT. Finally, Fig. 4’s metric radio data show multiple weak bursts localized in frequency and time for the period 01:05–01:30 UT that are not associated with enhanced EUV or X-ray emissions and occur on much shorter time scales than the observed X-ray and UV activity.
While EUV, UV, X-ray and radio activity may occur on faster timescales than the instrumental cadences, the four points above suggest that, even for causally-connected events, special conditions are required to produce observable radio and X-ray emission from electrons leaving reconnection regions and producing enhanced EUV and UV emission. Thus, Fig. 7 provides strong evidence that the imperfect correlations observed previously between X-ray, radio, EUV, and magnetic reconnection events18–20,31–35 are intrinsic (due to different physical conditions being required to produce observable signatures) and not due to there being multiple simultaneous but uncorrelated sources active across the Sun (e.g., the two X-ray sources in Fig. 6(b)) or to instrumental limitations. The imperfect correlation demonstrated above between metric and interplanetary type IIIs, and the fact that these emissions are often observable only in limited frequency-time domains, are also evidence that different special conditions are required to have observable radio.
Discussion and Conclusions
One interpretation for these special conditions is that two different (but related) electron populations originating in reconnection regions produce type III bursts and X-ray bursts in distinct source regions. Specifically, an auroral-style acceleration process, involving parallel electric fields and Alfven waves as in Earth’s aurora, also acts on the downgoing electrons as they near the magnetic footpoints, but not on the outward-going electrons on open field lines that produce type IIIs20,32 (Supporting Material C). Adding this acceleration process may also resolve the so-called “number problem”20,36,37, which is that too many accelerated electrons are required to explain the observed X-rays in terms of thick-target bremstrahlung from electrons accelerated in coronal reconnection regions, since the radio and X-ray emitting electrons would then not be produced by a single acceleration process in the same region. The low (~5–10 Mm) chromospheric heights of this paper’s reconnection regions imply a much denser plasma than the corona and so also reduce the number problem.
Another interpretation involves the fundamentally different physics of incoherent single-particle emission processes versus coherent collective emission processes, only the latter involving amplification due to individual particles emitting together. Specifically, the X-ray emissions are primarily bremstrahlung by individual electrons and the EUV emissions are primarily due to single-particle collisions of energetic particles with atoms and ions that lead to enhanced atomic and ionic line emission, while type III bursts involve collective processes for the growth of Langmuir waves and their conversion into radio emission4–12,48,50. A priori then, the conditions for observable emissions should be different. Detailed physical arguments also exist (Supporting Material C) that more intense type III emission is favoured for more rapid release events in smaller regions, balanced by the need for the source region to be large enough for the emission to be observable, while a larger acceleration region will produce more fast electrons and so X-ray and EUV emission than a smaller source for otherwise identical electron and source conditions. Thus, the different growth physics (especially collective versus single-particle) and dependences on release time and size of the acceleration region make it very plausible that different special conditions exist for production of observable radio, X-ray, and EUV emission from energetic electrons leaving solar magnetic reconnection regions.
In conclusion, this paper provides direct evidence for magnetic reconnection events in new SDO observations of enhanced EUV/UV events, including double-sided jets, cusp-like geometries on top of loops, and strong outflow along open magnetic field lines. MWA and Learmonth data show strong type III solar radio bursts in very good temporal and spatial coincidence with some of the SDO reconnection events, bursts of 3–25 keV RHESSI X-rays, and weak interplanetary type IIIs detected by STEREO B. These radio, EUV, and X-ray observations provide strong evidence for the long-believed but unproven model that type III electrons are energized in or near reconnection regions, producing radio and X-ray emissions as they move away from and towards the Sun, respectively. The imperfect but significant correlations observed demonstrate that different special conditions must exist for strong radio and X-ray bursts to be produced by electrons from magnetic reconnection regions. These conditions are on the production and release of suitably energetic electrons (with additional auroral-style acceleration plausible for the X-ray emitting electrons) and on the production of observable radio (collective) and X-ray, EUV, and UV (single-particle) emissions from these electrons.
Methods
SDO images
SDO’s AIA instrument generates 4096 × 4096 pixel full-Sun images continuously on a 12 s cadence, with a pixel size of 0.6″ (or 435 km at the Sun) and effective spatial resolution of ≈ 1.6″, in 7 EUV and 3 white light/UV wavelength channels. The 94, 171, and 193 Å channels are centered39 on Fe XVIII, IX, and XII/XXIV lines corresponding to plasma temperatures near 6, 0.6, and 1.4/19 MK, respectively.
Magnetic modeling
The Potential Field Source Surface (PFSS) model for the magnetic field (Fig. 2) was constructed using photospheric magnetic field data from SDO’s Helioseismic and Magnetic Imager (HMI)51 and the Solar Software (SSW) PFSS package. Schrijver and De Rosa45 detail the model assumptions and approach.
Temperature and density modeling
We use a Differential Emission Measure (DEM) model to estimate the electron temperature Te and number density ne of the cusp structure in Figs 2 and 3. DEMs combine multi-wavelength observations with the associated instrumental temperature responses52 to determine the DEM as a function of temperature along the line of sight (LOS). Integrating the DEM over temperature for the range log Te = 5.9–7.3 most appropriate for AIA53 yields the total emission measure (EM), which allows the density to be estimated using an assumed thickness over the LOS. We used the algorithim xrt_dem_iterative2, developed by Weber et al.54 and available through the SSW package, as implemented by Reeves et al.55. Using the 6 optically-thin, Fe-dominated AIA channels over the cusp structure in Fig. 3 (top left panel) results in a plot of DEM versus Te (not shown). The total EM is 1.2 × 1029 cm−5. Weighting using the DEM and assuming a cusp thickness of half its width (5 pixels and so ≈ 2.2 Mm) yields <ne> = 2.3 × 1010 cm−3. The corresponding <Te> = 6.3 MK.
Jet kinematics
Speeds are estimated along 47 linear slices that lie between the white arrows plotted in the lower-left and bottom panels of Fig. 2 and Movie B3, respectively. Intensities along each slice are background subtracted and binned together so that adjacent jets can be captured in one figure. Each column of the lower-right and top panels of Fig. 2 and Movie B3 represent the binned intensity at a single time, such that the horizontal stack illustrates the evolution of outflow material along the slice. The slope of each feature corresponds to its speed. Fitting lines to three of the most prominent jets, we find plane-of-sky speeds between ≈170 and 330 km s−1. Other studies of reconnection outflows have found similar values55,56.
Electronic supplementary material
Acknowledgements
The authors gratefully acknowledge funding from the Australian Research Council, NASA, and the US National Science Foundation in particular. They thank NASA, the Bureau of Meteorology (Space Weather Services), and the RHESSI, SDO, and STEREO science teams for providing data. The authors also thank J. Raymond and S.M. White for helpful comments on AIA lines and associated temperatures, and M. Bisi for other comments. Detailed acknowledgements related to MWA are in Supporting Material D.
Author Contributions
I.H.C. recognized, analyzed, and interpreted the SDO reconnection events and radio events, organised the collaboration, developed the physical interpretation with the team, and wrote most of the paper; V.V.L. analyzed the radio and SDO data; A.D. analyzed the SDO and RHESSI data; S.J.T. performed the MWA imaging analysis; P.J.M. analysed the SDO data and performed the PFSS and DEM analyses; D.O. planned and carried out the MWA observations, and he and L.M. aided in the interpretation of MWA radio data; R.T.D. helped I.H.C., V.V.L. and S.J.T. with initial radio and SDO analyses and S.J.T. with M.W.A. images; M.J.R. analyzed the detailed STEREO data; N.H.-W. and N.K. provided M.W.A. data; D.B.M. raised possible differences between the electron populations producing the radio and X-ray emissions; J.C.H. analysed the RSTN and Learmonth radio data; the foregoing plus J.C.K. and M.J.-H. also discussed, interpreted, and revised the paper with I.H.C. Authors G.B., J.D.B., R.J.C., B.E.C., A.D., D.E., R.G., B.J.H., D.L.K., E.K., C.J.L., M.J.L., S.R.M., D.A.M., M.F.M., E.M., S.M.O., T.P., A.R., N.U.S., K.S.S., R.S., R.B.W., M.W., R.L.W., A.R.W., A.W. and C.L.W. are members of the MWA Builders list; in conjunction with others, they developed and/or ran the Prototype MWA instrument.
Competing Interests
The authors declare that they have no competing interests.
Footnotes
Electronic supplementary material
Supplementary information accompanies this paper at 10.1038/s41598-018-19195-3.
Publisher's note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
References
- 1.Wild JP, Smerd SF, Weiss AA. Solar bursts. Ann. Rev. Astron. Astrophys. 1963;1:291. doi: 10.1146/annurev.aa.01.090163.001451. [DOI] [Google Scholar]
- 2.Suzuki S, Dulk GA. Solar Radiophysics: Studies of Emission From the Sun at Metre Wavelengths. New York: Cambridge Univ. Press; 1985. Bursts of type III and V. [Google Scholar]
- 3.Pick M, Vilmer N. Sixty-five years of solar radioastronomy: flares, coronal mass ejections and Sun Earth connection. Ann. Astrophys. Rev. 2008;16:1. doi: 10.1007/s00159-008-0013-x. [DOI] [Google Scholar]
- 4.Reid HAS, Ratcliffe H. A review of solar type III radio bursts. Res. Astron. Astrophys. 2014;14:773. doi: 10.1088/1674-4527/14/7/003. [DOI] [Google Scholar]
- 5.Melrose DB. Coherent emission, in Universal Heliophysical Processes. IAU Symp. 2009;257:305. [Google Scholar]
- 6.Li B, Cairns IH. Type III radio bursts produced in coronal plasmas with kappa-distributed particle distributions. Astrophys. J. Lett. 2013;763:L34. doi: 10.1088/2041-8205/763/2/L34. [DOI] [Google Scholar]
- 7.Gurnett DA, Anderson RR. Electron plasma oscillations associated with type III radio bursts. Science. 1976;194:1159. doi: 10.1126/science.194.4270.1159. [DOI] [PubMed] [Google Scholar]
- 8.Kellogg PJ. Fundamental emission in three type III solar bursts. Astrophys. J. 1980;236:696–700. doi: 10.1086/157789. [DOI] [Google Scholar]
- 9.Lin RP, Potter DW, Gurnett DA, Scarf FL. Energetic electrons and plasma waves associated with a solar type III radio burst. Astrophys. J. 1981;251:364. doi: 10.1086/159471. [DOI] [Google Scholar]
- 10.Robinson PA, Cairns IH, Gurnett DA. Clumpy Langmuir waves in type III radio sources - Comparison of stochastic-growth theory with observations. Astrophys.J. 1993;407:790. doi: 10.1086/172560. [DOI] [Google Scholar]
- 11.Ergun RE, et al. Eigenmode structure in solar-wind Langmuir waves. Phys. Rev. Lett. 2008;290:101051. doi: 10.1103/PhysRevLett.101.051101. [DOI] [PubMed] [Google Scholar]
- 12.Graham DB, Cairns IH, Malaspina DM, Ergun RE. Evidence against the oscillating two-stream instability and spatial collapse of Langmuir waves in solar type III radio bursts. Astrophys. J. Lett. 2012;753:L18. doi: 10.1088/2041-8205/753/1/L18. [DOI] [Google Scholar]
- 13.Priest, E. & Forbes, T. Magnetic Reconnection (Cambridge Univ. Press, 2000).
- 14.Yamada M, Kulsrud R, Ji HT. Magnetic reconnection. Rev. Mod. Phys. 2010;82:603–664. doi: 10.1103/RevModPhys.82.603. [DOI] [Google Scholar]
- 15.Fletcher L, et al. An observational overview of solar flares. Space Sci. Rev. 2011;159:19–106. doi: 10.1007/s11214-010-9701-8. [DOI] [Google Scholar]
- 16.Shibata K, Magara T. Solar flares: Magnetohydrodynamic processes. Living Rev. Solar Phys. 2011;8:6. doi: 10.12942/lrr-2011-6. [DOI] [Google Scholar]
- 17.Chen PF. Coronal mass ejections: Models and their observational basis. Living Rev. Solar Phys. 2011;8:1. doi: 10.12942/lrsp-2011-1. [DOI] [Google Scholar]
- 18.Aschwanden MJ, Benz AO, Schwartz RA. The timing of electron beam signatures in hard X-ray and radio: Solar flare observations by BATSE/Compton Gamma-Ray Observatory and PHOENIX. Astrophys. J. 1993;417:790. doi: 10.1086/173359. [DOI] [Google Scholar]
- 19.Krucker S, et al. Coronal hard X-ray emission associated with radio type III bursts. Astrophys. J. 2008;681:644. doi: 10.1086/588549. [DOI] [Google Scholar]
- 20.White SM, et al. The relationship between solar radio and hard X-ray emission. Space Sci. Rev. 2011;159:225. doi: 10.1007/s11214-010-9708-1. [DOI] [Google Scholar]
- 21.Lin RP, et al. RHESSI observations of particle acceleration and energy release in an intense solar gamma-ray line flare. Astrophys. J. 2003;595:L69–L76. doi: 10.1086/378932. [DOI] [Google Scholar]
- 22.Drake JF, Swisdak M, Fermo R. The power-law spectra of energetic particles during multi-island magnetic reconnection. Astrophys. J. Lett. 2013;763:L5. doi: 10.1088/2041-8205/763/1/L5. [DOI] [Google Scholar]
- 23.Hoshino M. Stochastic particle acceleration in multiple magnetic islands during reconnection. Phys. Rev. Lett. 2012;108:135003. doi: 10.1103/PhysRevLett.108.135003. [DOI] [PubMed] [Google Scholar]
- 24.Matthaeus WH, Lamkin SL. Turbulent magnetic reconnection. Phys. Fl. 1986;29:2513. doi: 10.1063/1.866004. [DOI] [Google Scholar]
- 25.Lapenta G. Self-feeding turbulent magnetic rconnection on macroscopic scales. Phys. Rev. Lett. 2008;100:235001. doi: 10.1103/PhysRevLett.100.235001. [DOI] [PubMed] [Google Scholar]
- 26.Servidio S, Matthaeus WH, Shay MA, Cassak PA, Dmitruk P. Magnetic reconnection in two-dimensional magnetohydrodynamic turbulence. Phys. Rev. Lett. 2009;102:115003. doi: 10.1103/PhysRevLett.102.115003. [DOI] [PubMed] [Google Scholar]
- 27.Karimabadi H, Roytershteyn V, Daughton W, Liu Y-H. Recent evolution in the theory of magnetic reconnection and its connection with turbulence. Space Sci. Rev. 2013;178:307. doi: 10.1007/s11214-013-0021-7. [DOI] [Google Scholar]
- 28.Shibata K, et al. Observations of X-ray jets with the Yohkoh soft X-ray telescope. Publ. Astron. Soc. Jpn. 1992;44:173–179. [Google Scholar]
- 29.Tsuneta S, et al. Observation of a solar flare at the limb with the YOHKOH soft X-ray telescope. Publ. Astron. Soc. Jpn. 1992;44:L63–69. [Google Scholar]
- 30.Takaso S, Asai A, Isobe H, Shibata K. Simultaneous observations of reconnection inflow and outflow associated with the 2010 August 18 solar flare. Astrophys. J. Lett. 2012;745:L6. doi: 10.1088/2041-8205/745/1/L6. [DOI] [Google Scholar]
- 31.Innes DE, Cameron RH, Solanki SK. EUV jets, type III radio bursts and sunspot waves investigated using SDO/AIS observations. Astron. & Atrophys. 2011;531:L13–16. doi: 10.1051/0004-6361/201117255. [DOI] [Google Scholar]
- 32.Su Y, et al. Imaging coronal magnetic-field reconnection in a solar flare. Nature Phys. 2013;9:489–493. doi: 10.1038/nphys2675. [DOI] [Google Scholar]
- 33.Chen B, et al. Tracing electron beams in the Sun’s corona with radio dynamic imaging spectroscopy. Astrophys. J. Lett. 2013;763:L21. doi: 10.1088/2041-8205/763/1/L21. [DOI] [Google Scholar]
- 34.Glusener L, Krucker S, Lin RP. Hard X-ray observations of a jet and accelerated electrons in the corona. Astrophys. J. 2012;754:9. doi: 10.1088/0004-637X/754/1/9. [DOI] [Google Scholar]
- 35.Cirtain JW, et al. Energy release in the solar corona from spatially resolved magnetic braids. Nature. 2013;493:501. doi: 10.1038/nature11772. [DOI] [PubMed] [Google Scholar]
- 36.Fletcher L, Hudson HS. Impulsive phase flare energy transport by large-scale Alfven waves. Astrophys. J. 2008;675:1645. doi: 10.1086/527044. [DOI] [Google Scholar]
- 37.Brown JC, Melrose DB. Collective plasma effects and the electron number problem in solar hard x-ray bursts. Sol. Phys. 1977;52:117. doi: 10.1007/BF00935795. [DOI] [Google Scholar]
- 38.Lemen JR, et al. The atmospheric imaging assembly (AIA) on the Solar Dynamics Observatory (SDO) Sol. Phys. 2012;275:17. doi: 10.1007/s11207-011-9776-8. [DOI] [Google Scholar]
- 39.Lonsdale CJ, et al. The Murchison Widefield Array: Design overview. Proc. IEEE. 2009;97:1497. doi: 10.1109/JPROC.2009.2017564. [DOI] [Google Scholar]
- 40.Oberoi D, et al. First spectroscopic imaging observations of the Sun at low radio frequencies with the Murchison Widefield Array Prototype. Astrophys. J. Lett. 2011;728:L27. doi: 10.1088/2041-8205/728/2/L27. [DOI] [Google Scholar]
- 41.Tingay SJ, et al. The Murchison Widefield Array: The Square Kilometre Array precursor at low radio frequencies. Publ. Astron. Soc. Aust. 2013;30:e007. doi: 10.1017/pasa.2012.007. [DOI] [Google Scholar]
- 42.Bowman JD, et al. Science with the Murchison Widefield Array. Publ. Astron. Soc. Aust. 2013;30:e031. doi: 10.1017/pas.2013.009. [DOI] [Google Scholar]
- 43.McCauley, P. I. et al. Type III solar radio burst source region splitting due to a quasi-separatrix Layer. Astrophys. J., in press, arXiv:1711.04930 [astro-ph.SR] (2017).
- 44.Lin RP, et al. The Reuven Ramaty High-Energy Solar Spectroscopic Imager (RHESSI) Sol. Phys. 2002;210:3. doi: 10.1023/A:1022428818870. [DOI] [Google Scholar]
- 45.Schrijver CJ, De Rosa ML. Photospheric and heliospheric magnetic fields. Sol. Phys. 2003;212:165. doi: 10.1023/A:1022908504100. [DOI] [Google Scholar]
- 46.Huang J, Tan B. Microwave bursts with fine structure in the decay phase of a solar flare. Astrophys. J. 2012;745:186. doi: 10.1088/0004-637X/745/2/186. [DOI] [Google Scholar]
- 47.Tan B. Small-scale microwave bursts in long-duration solar flares. Astrophys. J. 2013;773:165. doi: 10.1088/0004-637X/773/2/165. [DOI] [Google Scholar]
- 48.Li B, Cairns IH, Robinson PA. Imprints of coronal temperature disturbances on type III bursts. Astron. & Astrophys. 2010;520:L6. doi: 10.1051/0004-6361/200913893. [DOI] [Google Scholar]
- 49.Suresh A, et al. Astrophys. J. 2017;843:19. doi: 10.3847/1538-4357/aa774a. [DOI] [Google Scholar]
- 50.Li B, Cairns IH. Type III radio bursts perturbed by weak coronal shocks. Astrophys. J. 2012;753:124. doi: 10.1088/0004-637X/753/2/124. [DOI] [Google Scholar]
- 51.Scherrer, P. H., Schou, J. & Bush, R. I. et al. The Helioseismic and Magnetic Imager (HMI) investigation for the Solar Dynamics Observatory (SDO). Sol. Phys. 275 (2012). [DOI] [PMC free article] [PubMed]
- 52.Boerner P, et al. Initial calibration of the Atmospheric Imaging Assembly (AIA) on the Solar Dynamics Observatory (SDO) Sol. Phys. 2012;275:41. doi: 10.1007/s11207-011-9804-8. [DOI] [Google Scholar]
- 53.Cheng X, Zhang J, Saar SH, Ding MD. Differential emission measure analysis of multiple structural components of coronal mass ejections in the inner corona. Astrophys J. 2012;761:62. doi: 10.1088/0004-637X/761/1/62. [DOI] [Google Scholar]
- 54.Weber, M. A., Deluca, E. E., Golub, L., & Sette, A. L. Temperature diagnostics with multichannel imaging telescopes in IAU Symposium, Vol. 223, Multi-Wavelength Investigations of Solar Activity, eds Stepanov, A. V. Benevolenskaya, E. E. & Kosovichev A. G., 321 (2004).
- 55.Reeves KK, McCauley PI, Tian H. Direct observations of magnetic reconnection outflow and CME triggering in a small erupting solar prominence. Astrophys J. 2015;807:7. doi: 10.1088/0004-637X/807/1/7. [DOI] [Google Scholar]
- 56.Hara H, Watanabe T, Harra LK, Culhane JL, Young PR. Plasma motions and heating by magnetic reconnection in a 2007 May 19 flare. Astrophys J. 2011;741:107. doi: 10.1088/0004-637X/741/2/107. [DOI] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.