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3. Principle of operation

3.1. Fluorescence gated technique

Photoabsorption of X-rays below the Xenon K-binding energy at 34.5 keV, occurs in the L or lower order shells. In this case only a single cloud is produced for each X-ray event, because the probability of atomic relaxation via the Auger effect is much higher than via fluorescence emission and in any case the mean penetration depth of the L fluorescence photon, in 5 atmospheres Xenon, is less than 1 mm. For each X-ray event with tex2html_wrap_inline1872 keV only a single VUV burst will be produced and then detected by the HPGSPC.

For incident X-ray energies above 34.5 keV, the probability that photoabsorption occurs in the K shell is 86% while the probability that atom relaxes via a tex2html_wrap_inline1874 (29.7 keV) or a tex2html_wrap_inline1876 (33.8 keV) fluorescence photon is as high as 87%. Depending on geometry, filling pressure and energy of the original X-ray event the fluorescence photon can be reabsorbed in the gas cell, generating a second localized electron cloud at a different point respect to the primary photoelectron cloud. The two electron clouds from the double interaction (from now on referred as residual and fluorescence) will enter the Scintillation Region with a time difference of tex2html_wrap_inline1878, limited by the maximum drift time in the Drift Region. In this case, a double VUV light burst associated to a single X-ray event will be produced and detected by the HPGSPC. The detection of a tex2html_wrap_inline1880 or tex2html_wrap_inline1882 photon will ``gate" the partial photoabsorption.

X-ray events above 34.5 keV can, however, interact with the L shell or interact with the K shell and the atom relaxes via an Auger electron. In these cases only a single cloud is produced. Finally, for X-ray events that give rise to a tex2html_wrap_inline1888 or tex2html_wrap_inline1890 fluorescence photon a single event can still be detected if the two clouds are not spatially resolved or when the fluorescence photon escapes the detector leaving only the residual energy deposit of tex2html_wrap_inline1892, where tex2html_wrap_inline1894 is the binding energy and tex2html_wrap_inline1896 is the energy of the incident X-ray.

It has been suggested by many authors that the detection of the double events may provide a unique signature for a true X-ray event and, in this sense, can be used to discriminate against a non X-ray background event (Manzo et al. 1980; Ramsey et al. 1990; Dangendorf et al. 1989).

The ``Fluorescence Gated" technique can also be used to improve the energy resolution above the Xenon K shell (Taylor et al. 1981). Since the energy of the fluorescence photon is exactly known, only the statistical fluctuations relative to the clouds of primaries (residuals) will affect the energy determination.

3.2. Scientific modes of operation

Following the physics of photoabsorption three different scientific modes have been defined for the HPGSPC and implemented during the on ground data analysis:

In SE mode only X-ray photons detected as a single VUV light burst are collected. The SE mode can be used in the HPGSPC whole range and is the only mode for X-ray events with energy below 34.6 keV. In FG mode only incident X-rays producing double correlated events are accumulated. The FG mode is used only above 34.6 keV. In the ``All" mode both ``Single" and ``Double correlated" events are accumulated. Defined in the entire energy band of the HPGSPC, the "All" mode maximizes the detection efficiency of the Instrument.

3.3. Position reconstruction and energy correction

The HPGSPC energy resolution for a well collimated ``on axis" X-ray beam is determined in the first approximation by the statistical fluctuations in the number of electrons produced in the absorption region and the statistical fluctuations in the number of VUV photons detected by the PMTs (i.e. the photon counting statistics). In the case of the HPGSPC, considering a Fano factor of 0.15 (Anderson et al. 1979) and the VUV light yield as reported in Nguyen et al. (1980), a theoretical value for the energy resolution of 2.5% at 60 keV is obtained ( in ``All" mode).

When the HPGSPC is illuminated over the full geometrical aperture (full area illumination) the energy resolution tex2html_wrap_inline1900 (where tex2html_wrap_inline1902 is the measured energy i.e. the sum of seven PMTs signals) degrades and only slightly depends on the energy. This is due to the dependence of the measured energy tex2html_wrap_inline1904 on the (tex2html_wrap_inline1906) position at which the primary electron cloud enters the Scintillation Region. Indeed, it is the effective solid angle subtended by the seven PMTs (and then the VUV scintillation light collected) that strongly depends on the (tex2html_wrap_inline1908) scintillation position. Solid angle can vary from the center of the detector to the walls by up to about 20% (Giarrusso et al. 1989). The measured energy tex2html_wrap_inline1910, however, can be corrected to the ``on axis" value and the energy resolution can be restored just by multiplying the measured energy tex2html_wrap_inline1912 by the tex2html_wrap_inline1914 ratio of the total effective solid angle ``on axis" to the total effective solid angle subtended by the PMTs at the (tex2html_wrap_inline1916) point:


equation333
with
equation341

In the previous equation tex2html_wrap_inline1918 is the total solid angle subtended by the seven PMTs at the (tex2html_wrap_inline1920) position and tex2html_wrap_inline1922 is the solid angle subtended by the PMT i. Although different methods have been derived to determine a statistically optimum estimation of the scintillation position for an array of PMTs operating in an Anger camera configuration, they require difficult to implement on-board hardware, or a long processing time (Giarrusso et al. 1995). The method implemented for onboard position reconstruction and energy correction processing makes use of the signal of the central PMT and the highest signal of the lateral PMTs, to determine for each event two energy independent coefficients which are defined as:


equation350
and
equation358
where tex2html_wrap_inline1924 is the signal detected by the central PMT and tex2html_wrap_inline1926 is the highest signal among the lateral PMTs. Because there is an univoque correspondence between the (tex2html_wrap_inline1928) position in a given sector and the (tex2html_wrap_inline1930 , tex2html_wrap_inline1932) space, once the tex2html_wrap_inline1934 and tex2html_wrap_inline1936 coefficients are obtained, the tex2html_wrap_inline1938 correction factor is extracted from a look-up table that is experimentally determined and implemented onboard as a memory matrix of tex2html_wrap_inline1940 values. Each value in the table is addressed by the tex2html_wrap_inline1942 and tex2html_wrap_inline1944 coefficients measured for the event. To make the determination of the tex2html_wrap_inline1946 value faster, the look-up table is built using the isocoefficients tex2html_wrap_inline1948. Thus the look-up table is defined tex2html_wrap_inline1950 constant map. More details on the position reconstruction and energy correction of the event can be found in (Giarrusso et al. 1995; Giarrusso et al. 1989).


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