Chapter 7 - Conclusions and Further Work

Summary and Conclusions

The HiRes detector represents a step forward in the use of the air fluorescence technique in the study of extremely high energy cosmic rays (discussed in chapter 1). It builds upon the success of the Fly's Eye detector and will detect larger numbers of high energy extensive air showers at greater distances and finer resolution. To achieve these aims has required the development and testing of new detector units, and has brought new problems and challenges.

This thesis presents work performed by the author on the prototype HiRes detector described in chapter 3. Whilst much of the development of HiRes was based on both past experience with the Fly's Eye detector and the use of Monte Carlo simulations, the author has sought to demonstrate that we have developed the necessary expertise to solve many of the expected problems on {\em experimental} data. However on such a large project, it becomes necessary to limit one's scope to a subset of all the problems and tasks associated with the development of a new detector. With this in mind the author has concentrated on the development and application of high precision timing information to allow the coherent use of information from both detector sites.

In chapter 4 the author details the development of Global Positioning System (GPS) based clocks to provide high precision relative timing accuracy between the two HiRes sites. As a result of this work, the relative timing accuracy of the two sites is less than 50ns the majority of the time, with occasional degradations in the timing accuracy to around 100ns. Absolute timing accuracy is within 340ns of UTC 95% of the time. As part of this work the timing system was checked and calibrated giving us confidence in our ability to correctly assign triggering times of PMTs.

The implementation of high precision relative timing accuracy between the two HiRes sites allowed the development of a stereo-timing air shower reconstruction program which is discussed in chapter 5. The lack of high precision relative timing accuracy had previously prevented the use of this technique on the Fly's Eye detectors. However Monte Carlo simulations had indicated that if one had high precision relative timing between the two sites, and one could account for all timing systematics, then the technique should provide reconstruction accuracy better than any other method in use. Thus the author undertook the development and testing of a stereo-timing reconstruction program.

Testing and optimisation of the reconstruction program utilised the Laserscope, a portable telescope mounted UV laser which can be steered and fired to produce a beam of UV light in the atmosphere capable of triggering the HiRes detectors. The Laserscope thus provided a large dataset of cosmic ray like tracks with known positions and trajectories. The Laserscope data was also used in attempts to parameterise PMT trigger time slewing, a known source of systematic error in assigning PMT triggering times. The results of this work indicated that for EAS observed with opening angles greater than about 10 degrees (where the opening angle is the angle between the two shower detector planes) the median reconstruction error was 0.4 degrees with 95% of events being reconstructed with errors of less than 1 degree. For EAS viewed at small opening angles, the reconstruction accuracy is worse, with a median error of 0.8 degrees and 95% limit of 1.8 degrees. An evaluation of the performance of the stereo-timing reconstruction program on data from the stage 1.0 detector configuration was also performed by reconstructing showers using only the lowest elevation ring of mirrors at HiRes 1 (and the two elevation rings of mirrors at HiRes 2). Encouragingly results indicated only a small increase in the reconstruction error despite the loss of 54 degrees of elevation angle coverage between the two configurations.

High precision relative timing accuracy between the two HiRes sites allowed the development of an accurate stereo-timing reconstruction program. An accurately reconstructed trajectory is the important first step in determining EAS parameters such as depth of shower maximum and primary particle energy. These parameters are estimated through the use of a program to compare the measured light profile of the EAS with that expected assuming a Gaisser-Hillas shower development function. Chapter 6 thus describes the compilation of the stereo dataset and the development of a profile fitting program for use on this dataset.

Fitting the measured light profile to a Gaisser-Hillas function is a well understood problem. However application to the HiRes stereo dataset brings with it new problems. EAS are now being viewed at much larger distances than those detected by the Fly's Eye. The effect of the atmosphere, and in particular aerosol scattering and attenuation of light, is a much more significant problem than it was for the Fly's Eye. This has long been recognised, so that nightly monitoring of atmospheric conditions is performed.

These nightly measurements were incorporated into the profile fitting program, and a comparison made of the use of different aerosol models. The most significant atmospheric effect is attenuation due to aerosol scattering of light, which is partly characterised by an aerosol extinction length. The comparison indicated that the use of the Fly's Eye fixed aerosol extinction length tends to significantly overestimate the primary particle energy. This was due to measured extinction lengths being consistently longer than the Fly's Eye value, which, due to the significantly larger distances involved with the detection of light by HiRes 2, results in over estimation of primary particle energy. Care must be taken with the use of these nightly measurements to ensure that they are not biased by the presence of ground fog or an aerosol mixing layer. Evaluation of different aerosol scattering phase functions was more difficult, with the comparison being largely insensitive to the different phase functions considered. However it was noted that energy estimates using a phase function based on a log normal distribution of particles were systematically higher than those using the Fly's Eyes phase function which is based on a power law distribution of aerosol particles. Previous work indicates that a phase function based on a log normal distribution of particles should be more appropriate, so until further evidence is obtained preference should probably be given to a lognormal based phase function.

From analysis of the stereo dataset, it appears that the HiRes detector is achieving the desired aims. We are able to well reconstruct EAS at very large distances from the detector. Energy and depth of shower maximum distributions appear reasonable, with the expected increase in aperture with energy being observed. The performance of event reconstruction assuming a stage 1.0 configuration was compared with results using the prototype configuration. This comparison indicated that, provided the region around shower maximum was observed, the energy estimates should be reasonable. Given the elevation angle coverage of the stage 1.0 detector this condition will only be met for the more distant (and in general more energetic) showers.

Further Work

Whilst the author has performed significant work to ensure the HiRes detector reaches its potential, there is always further work that may be performed. Thus in this section I will highlight any remaining problems or follow up work that should be performed.

It is obviously important that we maintain the high precision timing system currently in place. Thus it is important that we maintain checks, such as recording satellites being viewed by the GPS receivers at each site, and analysis of Laserscope shots (which has now been synchronised to fire on the GPS 1PPS output) to ensure we are maintaining our timing accuracy. One could also test the absolute timing accuracy by developing a stable clock (such as that based on the Rubidium oscillator used in this work) which could be synchronised to some time reference signal and then transported to the HiRes sites for comparison with the output of the GPS clocks. Such a device could also be used to ensure the two GPS clocks are synchronised to the sub-microsecond level. That is, assuming one clock is functioning and within 340ns of UTC, the other should also be within 340ns of UTC at the time of the measurement (which is of course different to the time of the first measurement and hence the reason we cannot test the relative timing accuracy of the system in this way).

It would also be interesting to use the GPS clocks 1PPS output to either drive or trigger a blue LED placed at the mirror surface so as to trigger an entire PMT cluster. The 1PPS is used to latch central timing (providing a reference trigger time), so that provided one measures cable delays and the rise time of the LED's pulse, we can check directly check the accuracy of the PMT calibration process. Instead of a blue LED it might be possible to trigger the YAG or a Xenon flasher on the GPS 1PPS output instead.

Moving onto the stereo-timing fitter, there is also much scope for further development. When work on characterising PMT profile responses is completed, the new profile responses should be used to replace the older Monte Carlo responses. It is also desirable to more fully investigate the problem of trigger time slewing through the use of Laserscope shots. More Laserscope shots at a greater range of distances and intensities would allow us to further refine the time slewing parameterisation developed in this thesis. It would also be interesting to further investigate why certain geometries fail, and how to improve the initial guess used by the stereo-timing fitter. Finally, it will be worthwhile to test the reconstruction accuracy on Monte Carlo generated data, both as a comparison with the accuracy achieved using Laserscope data, and to allow further investigation of problematic events such as those at small opening angles or at the edges of the detector.

The HiRes prototype stereo dataset provides much scope for further work. Firstly the exposure of the detector should be calculated to enable spectrum and anisotropy work to be performed. It should also be possible to perform a cluster analysis through combining the high energy events in this dataset with those from other datasets such as the Fly's Eye and AGASA. Secondly there is more scope for work on atmospherics. This thesis investigated the use of an aerosol model with an exponential decrease in density with a fixed scale height. It would be interesting to examine how this changes with different conditions. The approach taken in this thesis was to vary the aerosol extinction length, but it might also be appropriate to consider variations in the scale height or even the presence of a mixing layer. Results from comparison of different aerosol models indicates there is still further work to be performed on the profile fitter, and possibly the absolute calibration. Further work on the newly developed combined HiRes 1/HiRes 2 profile fitter is also needed to understand its the performance and any biases that may be present. Finally one could use the stereo dataset to follow up the comparison work between the prototype and stage 1 configuration of the detector. One could further investigate why events were poorly reconstructed and possible ways to overcome this (such as fixing the depth of shower maximum and fitting for shower size).

In conclusion, the operation of the prototype HiRes detector has provided us with a wealth of information on the challenges facing the HiRes project. Significant advances have been made in allowing us to accurately reconstruct the trajectories and energies of large numbers of high energy cosmic rays. With further work we can improve and refine our understanding of the HiRes detector, and begin to solve some of the remaining questions on the nature of these extremely high energy particles.

Me
Chris Wilkinson (cwilkins@physics.adelaide.edu.au)
Mail me for comments.