Line Flux Estimate
At any given extraction width, the measured line flux - derived after fitting
a model (or a function) - shoudl be identical.
We run a number of mono-energetic marx simulations with a given source flux
of 0.01 photons/cm2/s per line. Similiarily to the analysis in the previous page, we use isis to perform a delta function
fitting, to derive a model flux, and then compare the expected and model values
to see how well (or badly) their values would match.
Simply taking the ratio of the derived flux to the expected value,
we find that the difference is generally less than 5%. This results
are tabulated in Table 2 below (the result can be seen as plots also).
The worst cases in each energy are found generally with a very narrow extraction
width. This happens since the narrowest extraction width (0.000122deg)
for HEG is set outside the grid points used in the LSF library, i.e.,
the tool mkgrmf (to make RMF from LSF) is forced to extrapolate the
LSF parameter values to make RMF. This is one of the limitations to
the current LSF library.
Table 2a: Validation of +1st Order Flux Estimate at Various Extraction Widths
HEG +1st |
Energy |
Extraction |
Width |
(deg) |
(keV) |
0.000122 |
0.000281 |
0.000353 |
0.000424 |
0.001286 |
0.001989 |
0.8 |
85.0% |
92.6% |
91.4% |
95.2% |
93.4% |
92.1% |
Plot |
1.0 |
97.0% |
101.% |
101.% |
103.% |
100.% |
99.3% |
Plot |
1.2 |
95.8% |
97.4% |
97.7% |
99.1% |
97.2% |
96.6% |
Plot |
1.4 |
95.2% |
100.% |
100.% |
101.% |
99.7% |
99.1% |
Plot |
1.6 |
94.3% |
99.2% |
99.0% |
99.5% |
98.4% |
97.9% |
Plot |
1.8 |
92.0% |
99.3% |
99.2% |
99.7% |
99.1% |
98.6% |
Plot |
2.0 |
90.3% |
97.7% |
97.6% |
97.9% |
97.2% |
96.9% |
Plot |
2.2 |
93.9% |
99.9% |
99.3% |
99.6% |
98.9% |
98.4% |
Plot |
2.4 |
92.1% |
98.6% |
98.5% |
98.7% |
98.3% |
97.7% |
Plot |
2.6 |
89.8% |
94.9% |
94.9% |
95.2% |
94.4% |
93.8% |
Plot |
2.8 |
93.1% |
100.% |
100.% |
101.% |
99.8% |
99.1% |
Plot |
3.0 |
91.6% |
101.% |
100.% |
100.% |
100.% |
99.1% |
Plot |
3.2 |
92.9% |
99.9% |
99.4% |
99.5% |
99.0% |
97.9% |
Plot |
3.4 |
93.7% |
100.% |
100.% |
100.% |
99.9% |
98.8% |
Plot |
3.6 |
90.7% |
98.6% |
98.6% |
98.7% |
98.5% |
97.4% |
Plot |
3.8 |
93.0% |
98.8% |
99.0% |
99.2% |
98.9% |
98.0% |
Plot |
4.0 |
94.5% |
101.% |
102.% |
102.% |
101.% |
99.6% |
Plot |
4.5 |
92.3% |
100.% |
99.9% |
100.% |
99.8% |
98.6% |
Plot |
5.0 |
89.9% |
96.8% |
96.8% |
97.1% |
96.6% |
95.5% |
Plot |
6.0 |
90.7% |
96.5% |
96.9% |
97.2% |
96.7% |
95.3% |
Plot |
6.5 |
92.8% |
98.5% |
98.9% |
99.1% |
98.7% |
97.2% |
Plot |
7.0 |
90.7% |
98.3% |
97.6% |
97.8% |
96.9% |
95.3% |
Plot |
MEG +1st |
Energy |
Extraction |
Width |
(deg) |
(keV) |
0.000122 |
0.000281 |
0.000353 |
0.000424 |
0.001286 |
0.001989 |
0.45 |
97.3% |
89.9% |
87.0% |
87.2% |
89.1% |
89.3% |
Plot |
0.6 |
99.6% |
93.4% |
97.2% |
95.4% |
96.3% |
96.2% |
Plot |
0.8 |
100.% |
100.% |
101.% |
99.1% |
98.7% |
98.7% |
Plot |
1.0 |
99.5% |
99.6% |
101.% |
99.0% |
99.0% |
98.8% |
Plot |
1.2 |
100.% |
100.% |
101.% |
99.7% |
99.9% |
99.5% |
Plot |
1.4 |
97.8% |
98.4% |
99.0% |
97.6% |
97.9% |
97.6% |
Plot |
1.6 |
99.3% |
100.% |
101.% |
99.4% |
99.7% |
99.5% |
Plot |
1.8 |
98.8% |
99.5% |
100.% |
99.1% |
99.1% |
98.8% |
Plot |
2.0 |
99.4% |
100.% |
101.% |
100.% |
100.% |
99.8% |
Plot |
2.2 |
99.5% |
99.9% |
100.% |
98.9% |
98.7% |
98.4% |
Plot |
2.4 |
97.9% |
97.8% |
98.2% |
97.2% |
97.4% |
97.2% |
Plot |
2.6 |
98.3% |
97.7% |
98.2% |
96.9% |
97.0% |
96.8% |
Plot |
2.8 |
100.% |
99.4% |
99.9% |
99.1% |
99.0% |
99.0% |
Plot |
3.0 |
99.1% |
99.4% |
99.7% |
98.8% |
98.6% |
98.4% |
Plot |
3.2 |
96.8% |
98.5% |
99.1% |
98.0% |
97.9% |
97.7% |
Plot |
3.4 |
99.4% |
99.2% |
99.5% |
98.1% |
98.5% |
98.3% |
Plot |
3.6 |
101.% |
101.% |
101.% |
100.% |
100.% |
100.% |
Plot |
3.8 |
99.1% |
99.6% |
100.% |
99.3% |
99.4% |
99.1% |
Plot |
4.0 |
99.4% |
100.% |
101.% |
99.4% |
99.3% |
99.1% |
Plot |
4.5 |
99.6% |
100.% |
101.% |
99.6% |
99.4% |
98.9% |
Plot |
5.0 |
99.1% |
100.% |
101.% |
99.4% |
99.3% |
98.9% |
Plot |
Table 2b: Validation of -1st Order Flux Estimate at Various Extraction Widths
HEG -1st |
Energy |
Extraction |
Width |
(deg) |
(keV) |
0.000122 |
0.000281 |
0.000353 |
0.000424 |
0.001286 |
0.001989 |
0.8 |
95.8% |
93.8% |
94.9% |
94.4% |
92.5% |
91.3% |
Plot |
1.0 |
95.7% |
101.% |
100.% |
102.% |
100.% |
98.7% |
Plot |
1.2 |
96.2% |
101.% |
102.% |
103.% |
102.% |
101.% |
Plot |
1.4 |
95.3% |
102.% |
101.% |
102.% |
101.% |
101.% |
Plot |
1.6 |
93.7% |
100.% |
100.% |
101.% |
100.% |
99.5% |
Plot |
1.8 |
95.9% |
103.% |
102.% |
103.% |
102.% |
101.% |
Plot |
2.0 |
94.2% |
102.% |
103.% |
103.% |
102.% |
102.% |
Plot |
2.2 |
91.5% |
99.7% |
99.9% |
100.% |
99.8% |
99.1% |
Plot |
2.4 |
94.5% |
101.% |
101.% |
101.% |
101.% |
100.% |
Plot |
2.6 |
93.9% |
98.5% |
98.4% |
98.6% |
97.9% |
97.1% |
Plot |
2.8 |
93.8% |
100.% |
100.% |
100.% |
100.% |
99.4% |
Plot |
3.0 |
95.3% |
101.% |
101.% |
102.% |
101.% |
100.% |
Plot |
3.2 |
92.4% |
102.% |
102.% |
102.% |
102.% |
101.% |
Plot |
3.4 |
95.5% |
103.% |
103.% |
103.% |
103.% |
102.% |
Plot |
3.6 |
93.3% |
101.% |
100.% |
101.% |
99.9% |
98.9% |
Plot |
3.8 |
92.0% |
99.7% |
99.7% |
100.% |
99.6% |
98.4% |
Plot |
4.0 |
94.2% |
102.% |
102.% |
103.% |
102.% |
101.% |
Plot |
4.5 |
95.2% |
103.% |
103.% |
103.% |
102.% |
101.% |
Plot |
5.0 |
96.2% |
101.% |
101.% |
101.% |
101.% |
99.1% |
Plot |
6.0 |
92.6% |
99.9% |
99.9% |
100.% |
99.4% |
97.5% |
Plot |
6.5 |
94.7% |
103.% |
102.% |
103.% |
103.% |
100.% |
Plot |
7.0 |
93.3% |
102.% |
102.% |
102.% |
101.% |
98.9% |
Plot |
MEG -1st |
Energy |
Extraction |
Width |
(deg) |
(keV) |
0.000122 |
0.000281 |
0.000353 |
0.000424 |
0.001286 |
0.001989 |
0.45 |
82.1% |
87.5% |
88.9% |
84.6 % |
81.4% |
80.9% |
Plot |
0.6 |
104.% |
104.% |
105.% |
103.% |
102.% |
102.% |
Plot |
0.8 |
100.% |
101.% |
102.% |
99.5% |
99.3% |
99.1% |
Plot |
1.0 |
101.% |
102.% |
103.% |
102.% |
101.% |
101.% |
Plot |
1.2 |
99.7% |
101.% |
102.% |
100.% |
99.9% |
99.3% |
Plot |
1.4 |
102.% |
101.% |
101.% |
100.% |
99.7% |
99.3% |
Plot |
1.6 |
100.% |
101.% |
102.% |
101.% |
100.% |
99.9% |
Plot |
1.8 |
101.% |
101.% |
102.% |
101.% |
100.% |
99.6% |
Plot |
2.0 |
97.2% |
97.4% |
98.0% |
96.8% |
96.3% |
96.0% |
Plot |
2.2 |
93.4% |
94.9% |
95.1% |
94.0% |
93.4% |
93.1% |
Plot |
2.4 |
99.6% |
100.% |
101.% |
99.4% |
98.8% |
98.4% |
Plot |
2.6 |
94.4% |
97.3% |
97.7% |
96.6% |
95.8% |
95.4% |
Plot |
2.8 |
97.2% |
97.7% |
97.8% |
96.7% |
96.4% |
96.0% |
Plot |
3.0 |
98.8% |
99.9% |
100.% |
99.2% |
98.3% |
97.9% |
Plot |
3.2 |
99.4% |
99.0% |
99.9% |
98.7% |
97.9% |
97.4% |
Plot |
3.4 |
101.% |
99.8% |
100.% |
98.8% |
98.1% |
97.6% |
Plot |
3.6 |
101.% |
101.% |
101.% |
99.9% |
99.0% |
98.5% |
Plot |
3.8 |
103.% |
102.% |
103.% |
102.% |
101.% |
100.% |
Plot |
4.0 |
103.% |
103.% |
104.% |
102.% |
101.% |
101.% |
Plot |
4.5 |
103.% |
104.% |
105.% |
103.% |
103.% |
102.% |
Plot |
5.0 |
103.% |
105.% |
106.% |
105.% |
105.% |
104.% |
Plot |
Note to the experts: the estimated fluxes may be somewhat lower
than the expected values. This results from the fact that
the DTCORR keyword in marx simulation is fixed at 1.0.
In reality the DTCORR value should have been slightly less
than 1.0, leading to the reduction of the estimated flux.
However, when marx are run without the pileup
effect, the DTCORR is not evaluated rigorously (true for
marx 4.0.3).
Furthermore, there has been a change in ways to determine
encircled energy fraction (EEFRACS) of the new LSF library. The new
process takes a proper account of the effect of mirror scatters
so that, at a higher energy, the EEFRACS value is evaluated
more accurately than before (esp. compared with the canned gRMF
in CALDB).
Lastly, there are other calibration issues that had cropped up
while comparing the LSF/RMF products with marx simulated datasets.
- Turn off QEU (via ardlib.par) when making ARF,
- Make sure to utilize OSIP files (i.e., OSIPfile=CALDB),
- Set QE files to version N0004 (via ardlib.par)
- Be careful when extracting high-energy events;
at a high E, HEG and MEG regions overlap, which
leads to some events being classified as tg.part=99.
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