High Temperatures in Active Regions

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Revision as of 23:19, 13 March 2009

Introduction

Since RHESSI was launched in February 2002, it has observed thousands of solar flares (more than 46,000 in the latest reprocessing of the RHESSI flare list). It was noticed in 2002 that RHESSI was observing solar emission even when there are no flares present (Ref. 1). The temperature required for this high energy emission is greater than 5 MK, a temperature range that is not often considered for solar active regions, mostly because the instruments used for T measurement of active regions, such as Yohkoh SXT, SOHO EIT or CDS, or didn't have much response to high T. Here we have measured the T for approximately 7000 time intervals from Feb 2002 through August 2006.

Background Subtraction and Interval Selection

Figure 1:This is the RHESSI 3 to 6 keV count rate for one orbit. The black dashed lines show an interval which was chosen for a temperature measurement. The red line is the expected background level.

Figure 1 shows the RHESSI count rate for a typical orbit for 8 April 2006. (Nothing special about April 2006, it was just a convenient option when the original SPD poster with this calculation was created.) The plot clearly shows a jump at the day-night transitions. That is solar emission. Two things need to be accomplished before we can get a T measurement of the steady-state component that would be related to active regions:

1) Avoid microflares, SAA's, particle events, etc: So for each orbit, an interval of between 1 and 5 minutes was chosen based on the following criteria: No flares or particle events, no attenuators, no data gaps, and at least 5 minutes from the SAA. The intervals chosen have the minimum (daylight) count rate for the orbit, subject to a flatness test that insures that there are no microflares in the intervals, there is one right after, though.

2) Find the background level: You cannot just assume that the background level can be given by the nighttime values before and after spacecraft day. The background level depends on the cosmic ray flux and local particle flux, and it varies with the position of the spacecraft. Figure 2 shows background data.

Figure 2:This is the RHESSI 3 to 6 keV background level, plotted versus the longitude of the ascending node of the orbit, and orbital phase. The longitude of the ascending node is the longitude at which the spacecraft passes over the equator, moving from south to north; the combination of this quantity and the orbital phase gives complete information about the latitude and longitude of the spacecraft. On orbit, a spacecraft follows a series of vertical lines on this plot, going up.

Here is how we calculate the background level: The count rate has been accumulated during the 5 minute periods before and after daylight for each orbit in the mission. Each spectrum has an energy range from 3 to 300 keV, which is split into 492 energy bands (1/3 keV resolution from 3 to 100 keV and 1 keV resolution from 100 to 300 keV).

The spectra are then averaged over time, longitude of the ascending node, and orbital phase. The angular ranges are split into 10 degree bins. A 56 day time interval is sufficient to ensure that there are measurements in each angular bin. For each 56-day time intervals, the spectra in each angular bin are averaged, resulting in a 36x36 array, for each of the 492 energy bands. We end up with an array of 492x18x36x36 for each 56-day interval; 492 energy bands, 18 detector segments, 36 bins of ascending node longitude, and 36 bins of orbital phase. Each of these arrays is stored in an IDL save file.

For a background spectrum for a given time from this database, restore the files accumulated for times that bracket the given time, and interpolate the spectrum over time and position. This can be done for any time or energy band for the whole RHESSI mission, and it is used for the RHESSI quicklook spectra.

The uncertainty in the background is the dispersion obtained in each of the angular bins during the averaging process. For the low-latitude regions where most of the temperature measurements were taken, the uncertainty in the background is approximately 1/2 the background rate. For the 3 to 6 keV energy band shown in Figures 1 and 2, this is approximately 1 count per second per detector. The uncertainty is higher for higher latitude regions; e.g., regions which are very dark in Figure 2.

Measurements

Now that we have a way to choose time intervals and calculate background, we can calculate the temperature and emission measure. A total of 8747 time intervals were analyzed, from 14 February 2002 to 2 August 2006. Of these intervals, 6961 had enough counts above the background level for a spectrum to be fitted. (The spectra for the fits were accumulated in 1/3 keV energy channels in the energy range from 3 to 30 keV. To be included in the fit, the background-subtracted count rate for a channel was required to be greater than 3 times its uncertainty. Detectors 1,3,4,6,9 were used.)

We also obtained T and EM from GOES data for each of the intervals, for comparisons. GOES 10 data were used prior to 16 March 2003, and GOES 12 data were used after.

The RHESSI temperature is between 6 and 11 MK, and the GOES temperature is usually between 3 and 6 MK. The GOES $EM$ is typically a factor of 50 to 100 times the RHESSI $EM$. This is consistent with a differential emission measure that decreases with increasing temperature. There is a small problem, though.

[[Image:97_jmm_Ppr2008_f4.png|300px|thumb|left|Figure 3:RHESSI temperature versus GOES temperature for time intervals up to 14 September 2002. The blue dashed line is a linear fit with slope of 0.89. The red dashed line indicates where the two temperatures are equal.}

From Figure 3, it looks as if the two measurements have some correlation. This is not wildly unexpected, GOES should always measure a T lower than RHESSI, since it observes lower energy photons, so there should be some correlation due to that. We don't expect the correlation to be perfect; this would reqiure the slope of the DEM to be a constant for all intervals.

[[Image:97_jmm_Ppr2008_f6.png|300px|thumb|left|Figure 3:RHESSI temperature versus GOES temperature for time intervals up to 2 August 2006. The red dashed line indicates where the two temperatures are equal.}