HRC-S Quantum Efficiency Verification
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For this study we employed the supernova remnant Cas A to perform cross-calibration of HRC-S (ObsID 172) with ACIS-S3 (ObsID 214), over the energy range of 0.7 - 2.5 keV.
Dick Edgar provided a line flux source model which we fit to
the ACIS-S3 observations (see model below).
Using the current state of the HRC-S QE model (version 1.1),
Dick built/formatted the HRC response function with which
we were able to generate predicted HRC-S counts using
the "fakeit" command in XSPEC (version 10).
The predicted counts with total model uncertainties are:
   783063   ±   16.0%
The HRC-S observed counts were extracted from a circle around the source
[in sky coords: cir(xcen,ycen,r)=cir(33356,32292,1680);
1 HRC-S pixel = 6.429um],
corresponding to the size of the ACIS circle
[in tdet coords: cir(4380,4045,450); 1 ACIS-S pixel = 24.0um].
A very large HRC-S background region was defined as the active detector
minus the source region.
The background-subtracted observed counts are:    793482
  ±   0.1%
The source model derived from ACIS-S3 has an uncertainty of ~5%.
The HRC-S QE over this range has an additional uncertainty of ~10-15%.
Thus, the total model uncertainty resulting from convolving the source model
with the model of the HRC-S response becomes ~16.0%.
So even though HRC-S actually sees 1.3% more
(absolute difference)
than predicted by our model, the observed matches the predicted within
the 16.0% total model uncertainty.
1) MODEL for Cas A derived from ACIS-S3 (casa.xcm) mo = ( gaussian[1] + ( gaussian[2] + gaussian[3] + gaussian[4] + gaussian[5] + gaussian[6] + gaussian[7] + gaussian[8] + gaussian[9] + gaussian[10] + gaussian[11] + gaussian[12] + gaussian[13] + gaussian[14] + gaussian[15] + gaussian[16] + gaussian[17] + gaussian[18] + gaussian[19] + powerlaw[20] )wabs[21] ) + powerlaw/b[22] Model Fit Model Component Parameter Unit Value par par comp 1 1 1 gaussian LineE keV 0.3323 frozen 2 2 1 gaussian Sigma keV 2.8582E-02 frozen 3 3 1 gaussian norm 6.1720E-03 +/- 0.1572E-03 4 4 2 gaussian LineE keV 1.060 frozen 5 5 2 gaussian Sigma keV 0. frozen 6 6 2 gaussian norm 8.5412E-02 +/- 0.1580E-02 7 7 3 gaussian LineE keV 0.9457 +/- 0.2475E-02 8 8 3 gaussian Sigma keV 0. frozen 9 9 3 gaussian norm 6.3098E-02 +/- 0.2119E-02 10 10 4 gaussian LineE keV 1.129 frozen 11 11 4 gaussian Sigma keV 0. frozen 12 12 4 gaussian norm 1.3506E-02 +/- 0.9180E-03 13 13 5 gaussian LineE keV 1.385 frozen 14 14 5 gaussian Sigma keV 0. frozen 15 15 5 gaussian norm 2.3193E-02 +/- 0.4451E-03 16 16 6 gaussian LineE keV 1.515 frozen 17 17 6 gaussian Sigma keV 0. frozen 18 18 6 gaussian norm 7.0877E-03 +/- 0.3877E-03 19 19 7 gaussian LineE keV 1.893 frozen 20 20 7 gaussian Sigma keV 0. frozen 21 21 7 gaussian norm 0.1170 +/- 0.4270E-03 22 22 8 gaussian LineE keV 2.047 frozen 23 23 8 gaussian Sigma keV 0. frozen 24 24 8 gaussian norm 2.1968E-02 +/- 0.2537E-03 25 25 9 gaussian LineE keV 2.370 frozen 26 26 9 gaussian Sigma keV 0. frozen 27 27 9 gaussian norm 8.9934E-03 +/- 0.2790E-03 28 28 10 gaussian LineE keV 2.218 +/- 0.2619E-02 29 29 10 gaussian Sigma keV 0. frozen 30 30 10 gaussian norm 9.9173E-03 +/- 0.2589E-03 31 31 11 gaussian LineE keV 2.487 frozen 32 32 11 gaussian Sigma keV 0. frozen 33 33 11 gaussian norm 4.3544E-02 +/- 0.3162E-03 34 34 12 gaussian LineE keV 2.618 frozen 35 35 12 gaussian Sigma keV 0. frozen 36 36 12 gaussian norm 6.8336E-03 +/- 0.2343E-03 37 37 13 gaussian LineE keV 2.954 frozen 38 38 13 gaussian Sigma keV 0. frozen 39 39 13 gaussian norm 3.5371E-03 +/- 0.2055E-03 40 40 14 gaussian LineE keV 3.164 frozen 41 41 14 gaussian Sigma keV 0. frozen 42 42 14 gaussian norm 6.9491E-03 +/- 0.1668E-03 43 43 15 gaussian LineE keV 3.925 frozen 44 44 15 gaussian Sigma keV 0. frozen 45 45 15 gaussian norm 1.8196E-03 +/- 0.1489E-03 46 46 16 gaussian LineE keV 6.658 frozen 47 47 16 gaussian Sigma keV 0. frozen 48 48 16 gaussian norm 2.7364E-03 +/- 0.1772E-03 49 49 17 gaussian LineE keV 6.839 frozen 50 50 17 gaussian Sigma keV 0. frozen 51 51 17 gaussian norm 1.3231E-03 +/- 0.1892E-03 52 52 18 gaussian LineE keV 7.030 +/- 0.2732E-01 53 53 18 gaussian Sigma keV 0. frozen 54 54 18 gaussian norm 3.7170E-04 +/- 0.1686E-03 55 55 19 gaussian LineE keV 7.971 frozen 56 56 19 gaussian Sigma keV 0. frozen 57 57 19 gaussian norm 1.8948E-04 +/- 0.2383E-03 58 58 20 powerlaw PhoIndex 2.935 +/- 0.6447E-02 59 59 20 powerlaw norm 1.560 +/- 0.1094E-01 60 60 21 wabs nH 10^22 0.9214 +/- 0.2898E-02 61 61 22 powerlaw/b PhoIndex 0. frozen 62 62 22 powerlaw/b norm 7.2173E-02 frozen --------------------------------------------------------------------------- --------------------------------------------------------------------------- Chi-Squared = 10842.07 using 2048 PHA bins. Reduced chi-squared = 5.359403 for 2023 degrees of freedom Null hypothesis probability = 0. source model uncertainty of ~ 5%
Last modified: 09/25/12
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