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3. The PSPC case

The algorithm described can be straightforwardly applied for screening ROSAT PSPC observations. Two major background anomalies that may cause a decrease in signal to noise ratio of sources can be identified in the background light curve of a ROSAT PSPC, namely: 1) high particle background as identified by high master veto count-rate, and 2) times of high solar background and other short-term enhancements. We will separately discuss the effect on the light curve of each of them, and we will show that, while the PB has to be screened by an "ad-hoc" cut, the SB can be effectively reduced by the procedure described in Sect. 2.

3.1. High particle background

During a typical ROSAT PSPC observation, several kinds of charged particles, including cosmic rays, hit the detector, and cause electron cascades which are afterward marked as X-ray events by the read-out electronics. The PSPC has been equipped with an anti-coincidence counter, which detects, logs, and rejects these particle events. The rate of the rejected events is called the Master Veto (MV) rate. Nominally, tex2html_wrap_inline1081% of particle events are rejected. S92 have shown that, for typical MV values (MV tex2html_wrap_inline1083 cnt s-1), the residual particle background (that is the particle events which are not rejected by the anti-coincidence method) is negligible with respect to other background components (e.g. cosmic).

Under some circumstances, the satellite enters regions of high particle background (HPB) during an observing interval, signalled by a sudden increase of the MV rate. In these cases, the residual particle background may become comparable to other background rates (e.g. cosmic). To reduce the contamination of HPB, S92 suggested the screening out of time intervals where the MV rate is >170 cnt s-1. This choice rejects tex2html_wrap_inline1091% of the exposure time. We have verified that rejecting such an high fraction of the time may yield a net loss of the number of point-like sources detected in the screened observation and a systematic decrease of their SNR's.

On the other hand, Figs. 6 and 8 of S92 show that, for a MV rate up to 400 cnt s-1, the residual particle background is still lower than 2 cnt s-1 (40% and 15% of the minimum and typical X-ray cosmic background, respectively), and that choosing the MV threshold tex2html_wrap_inline1099 cnt s-1 yields a significant reduction of the discarded time intervals. However, as the MV rate increases, the detector dead time also increases. This is clearly shown in Fig. 1 (click here), which reports the MV light curve (left panel) of a PSPC observation pointed to the NE rim of the Vela supernova remnant (Bocchino et al. 1994) along with the accepted event rate of the same time interval (right panel). We note that, towards the end of the exposure, the MV rate increases significantly; when it becomes larger than about 250 cnt s-1, the accepted event rate shows an apparent drop due to high detector dead time. This evidence suggested, as a first step of our PSPC screening procedure, to reject the time intervals with MV rate >250 cnt s-1. This choice is not restrictive in terms of exposure times (according to S92, only less than 1% of the exposure is rejected when only intervals with MV rate <250 cnt s-1 are retained), and allows us to reject observation intervals with critical dead time. Adopting this MV threshold, we can estimate, on the basis of the typical and minimum rate of the cosmic X-ray background and Fig. 8 of S92, that the PB contribution to the total background is always < 25%, with a typical value of <5%.

  figure276
Figure 1: Left: Master Veto (MV) light curve of the first Observation Interval (OBI) of the ROSAT PSPC sequence RP 200133 pointed toward the NE rim of the Vela supernova remnant (3944 sec total exposure). On average the MV rate is <250 cnt s-1, but at the end of the OBI the satellite has entered an high particle background region which increases the rejection rate above 1000 cnt s-1. Right: Accepted X-ray events (AE) rate for the same OBI as before. There is an apparent decrease of the rate corresponding to the high particle background interval of the left panel, because the high rejection rate increases the detector dead time. The dip is not real also because no source intrinsic variability is expected in the case of the rim of the Vela supernova remnant on the time scale of tens of seconds

3.2. Short term enhancement

A typical background light-curve of a ROSAT PSPC or HRI observation is characterized by occasional steep enhancements in the total accepted event count-rate. Some of these excess background intervals are due to solar radiation scattered by Earth's atmosphere and others have been identified as auroral X-rays. In Fig. 2 (click here) (left panel), for instance, we show a background light curve of a ROSAT/PSPC observation which suffers of several contaminating spikes. According to SF93, the spikes are due to scattered solar X-ray radiation which enters the mirror assembly when the pointing direction crosses the sunlit limb of Earth.

  figure301
Figure 2: Left: Background light curve of a PSPC field pointed towards the Pleiades open cluster. A large number of steep background enhancements are present along the entire tex2html_wrap_inline1125 s observation interval. Dashed line marks the median background level, dot dashed line is the threshold level chosen by the screening algorithm described in the text to operate the rejection of the contaminating spikes. Right: The Efficiency Function defined in the text versus the fraction of the total exposure time screened out. The maximum of the curve is automatically selected by the algorithm and corresponds to the cut marked by the dot dashed line in the left panel

Our screening algorithm is capable of removing these high background intervals. To use Eq. (11 (click here)) in the PSPC case, we have chosen a circular source region which includes 90% of the source photons (tex2html_wrap_inline1031 = 0.9) and an annular background region whose inner radius is equal to the source region radius and whose area is three times the source region area (r=3). From the integration of the PSPC point spread function (PSF) at 0.3 keV given by Hasinger et al (1993), we found for tex2html_wrap_inline1033 a typical value of 0.08 for off-axis angles in the range 0'-50'. With these choices tex2html_wrap_inline1031, tex2html_wrap_inline1033, and r are almost independent on off-axis position and the only relevant parameters remain S, and Bgif.

3.3. Test simulations

Before we describe operatively the screening procedure, we discuss, on the basis of results of the simulation tests, the dependence of our screening procedure on the choice of the parameters on which the screening procedure is tailored (i.e. off-axis angle and count-rate of the point source of which the efficiency function is to be maximized). For these purposes we have generated a simulated PSPC image with exposure time and background light curve similar to a PSPC field of the Pleiades young open cluster with nearly 40 000 s total exposure time (rp200068, PI R. Rosner) presenting many steep background enhancements (Fig. 2 (click here)). We have conducted extensive tests on the simulated Pleiades PSPC field under study, running the screening procedure tailored to sources of different off-axis angles (hereafter, the template sources). For each run, a template source was generated with a number of counts between the detection threshold and 10 times the threshold. C, T, S and B were computed accordingly, and the optimal screening was found by maximizing the efficiency function (Eq. 11 (click here)). This approach has allowed us to study the behavior of the algorithm by varying the characteristic of the template source.

The tests show that when the screening is tailored to fainter template sources, more time is screened out to obtain the maximum SNR. This means that, when the screening procedure is tailored to obtain maximum SNR for faint sources, more time intervals are screened out than necessary for obtaining maximum SNR for brighter sources. Nevertheless a screening procedure tailored to faint sources usually produces also an increase in SNR for bright sources, although not the maximum obtainable for these latter sources.

Once it is clear that it is advantageous to tailor the screening procedure to the faintest source that can be detected in the field under study (i.e. S is equal to the detection threshold for a given image), we have to investigate whether the procedure is sensitive to the choice of the off-axis angle of the template source. In fact, as we move outside from the center of the field of view, the width of the PSF of the detector increases, and the detection cell needs to be increased in order to keep the fraction of source counts falling within it constant. This implies an increase of the background counts B, whose collection cell scales with the area of the detection cell. Furthermore, the larger the off-axis angle, the higher the detection threshold (due to PSF widening and vignetting effect); therefore, the behavior of S/B in the efficiency function E to be maximized is not directly obvious.

 

 

Off-axis Cell Radius S X tex2html_wrap_inline1063 tex2html_wrap_inline1193 tex2html_wrap_inline1195 tex2html_wrap_inline1197
(arcmin) (arcmin) (cnt/s) (%)
0 0.475 tex2html_wrap_inline1199 3.7 1.02 1.02 1.02 1.02
2 0.492 tex2html_wrap_inline1201 3.9 1.02 1.02 1.02 1.02
4 0.492 tex2html_wrap_inline1203 3.7 1.02 1.02 1.02 1.02
6 0.542 tex2html_wrap_inline1205 3.9 1.03 1.02 1.02 1.02
8 0.592 tex2html_wrap_inline1207 4.2 1.03 1.03 1.03 1.03
10 0.692 tex2html_wrap_inline1209 4.5 1.03 1.03 1.03 1.03
15 0.992 tex2html_wrap_inline1211 5.4 1.04 1.04 1.04
20 1.408 tex2html_wrap_inline1213 5.4 1.04 1.04 1.04
25 1.875 tex2html_wrap_inline1215 5.6 1.05 1.05
30 2.391 tex2html_wrap_inline1217 5.6 1.05 1.05
Table 1: Analysis of the dependence of the screening procedure on template source off-axis angle

Table 1 (click here) summarizes the results of these tests. Column 1 is the off-axis angle; Col. 2 gives the associated detection cell radius; Col. 3 is the detection threshold for that off-axis angle derived using the Wavelet transform detection algorithm of Damiani et al. (1997a); Col. 4 gives the amount of screened time (x); Col. 5 gives the ratio tex2html_wrap_inline1221 i.e. the SNR gain for the source to which the screening is tailored; Cols. 6, 7, and 8 give the SNR gain which would be obtained for the source if the procedure had been tailored to 10', 20' or 30' off-axis angles. This table shows that the choice of tailoring the algorithm to large off-axis angles does not affect the gain in SNR of sources at smaller off-axis angles. For instance, an on-axis source (first row in in Table 1) would have a gain of 2% in SNR with the choice of tailoring the algorithm to 30' off-axis angle (Col. 8), which is the same gain which would be obtained tailoring the algorithm to the on-axis source (Col. 5). The table also shows that the optimal screening of sources at large off-axis angles is obtained tailoring the algorithm to template sources also at large off-axis angles. In fact, the last row of the table shows that the optimal screening for a tex2html_wrap_inline1239 off-axis source is obtained with a cut of 5.6% of the exposure time (Col. 4), while tailoring the algorithm at smaller off-axis angle would have yielded a smaller fraction of rejected time, and thus a SNR gain for the tex2html_wrap_inline1239 source which is lower than the maximum achievable (Fig. 2 (click here)).

However, it is evident that the screening algorithm is not very sensitive to the chosen off-axis angle. This indicates that the increase of the detection cell size, and thus B, and the increase of the detection threshold that occurs at larger off-axis angles, in some way compensates, keeping S/B nearly constant. On the basis of these results, we have chosen to tailor our screening procedure to an off-axis angle of 30', where we have the highest gain in SNR and we still have acceptable PSPC performances both in terms of sensitivity and spatial resolution.


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