Imaging and non-imaging Cherenkov hybrid reconstruction

Similar documents
PoS(ICRC2015)635. The NICHE Array: Status and Plans. Douglas R Bergman

Search for EeV Protons of Galactic Origin

Burst Shower Events Observed by the Telescope Array Surface Detector

PoS(ICRC2015)349. TA Spectrum Summary

PoS(ICRC2015)657. Telescope Array extension: TA 4

Energy Spectrum of Ultra-High-Energy Cosmic Rays Measured by The Telescope Array

PoS(ICRC2015)641. Cloud Monitoring using Nitrogen Laser for LHAASO Experiment. Z.D. Sun 1,Y. Zhang 2,F.R. Zhu 1 for the LHAASO Collaboration

The Cosmic Ray Air Fluorescence Fresnel lens Telescope (CRAFFT) for the next generation UHECR observatory

Ultra-High-Energy Cosmic Rays: A Tale of Two Observatories

PoS(ICRC2017)548. Telescope Array anisotropy summary

Primary CR Energy Spectrum and Mass Composition by the Data of Tunka-133 Array. by the Tunka-133 Collaboration

Timing calibration of the LHAASO-KM2A electromagnetic particle detectors

Full author list:

arxiv: v1 [astro-ph.he] 28 Aug 2015

Simulations for H.E.S.S.

Depth of maximum of air-shower profiles at the Pierre Auger Observatory: Measurements above ev and Composition Implications

Study of Performance Improvement for Air Shower Array with Surface Water Cherenkov Detectors

Muon track reconstruction and veto performance with D-Egg sensor for IceCube-Gen2

Gamma-Ray Astronomy with a Wide Field of View detector operated at Extreme Altitude in the Southern Hemisphere.

TAIGA-HiSCORE results from the first two operation seasons

PoS(ICRC2015)326. TA anisotropy summary

Feasibility of VHE gamma ray detection by an array of imaging atmospheric Cherenkov telescopes using the fluorescence technique

On the Combined Analysis of Muon Shower Size and Depth of Shower Maximum

Results from the Telescope Array Experiment

Muon track reconstruction and veto performance with D-Egg sensor for IceCube-Gen2

PoS(ICRC2015)568. An Estimate of the Live Time of Optical Measurements of Air Showers at the South Pole

Analytic description of the radio emission of air showers based on its emission mechanisms

The cosmic ray energy spectrum measured using the Pierre Auger Observatory

Search for isotropic microwave radiation from electron beam in the atmosphere

Observations of the Crab Nebula with Early HAWC Data

Development of a prototype for Fluorescence detector Array of Single-pixel Telescopes (FAST)

Status and results from the Pierre Auger Observatory

IceAct Air Cherenkov telescopes for the South Pole

UHE Cosmic Rays and Neutrinos with the Pierre Auger Observatory

PoS(ICRC2015)1155. Design study of an air-cherenkov telescope for harsh environments with efficient air-shower detection at 100 TeV.

arxiv: v1 [astro-ph.im] 7 Sep 2015

The TAIGA experiment - a hybrid detector for very high energy gamma-ray astronomy and cosmic ray physics in the Tunka valley

Performance of the MAGIC telescopes under moonlight

Accurate Measurement of the Cosmic Ray Proton Spectrum from 100TeV to 10PeV with LHAASO

Interpretation of the energy spectrum observed with the Telescope Array surface detectors

DATA ANALYSIS: EXTRACTING SCIENCE FROM MAGIC

Highlights from the Telescope Array Experiment

TeV to PeV Gamma-ray Astronomy with TAIGA

PoS(ICRC2017)326. The influence of weather effects on the reconstruction of extensive air showers at the Pierre Auger Observatory

EAS spectrum in thermal neutrons measured with PRISMA-32

arxiv: v1 [astro-ph.he] 24 Mar 2015

arxiv: v1 [astro-ph.im] 14 Sep 2017

Latest results and perspectives of the KASCADE-Grande EAS facility

TEV GAMMA RAY ASTRONOMY WITH VERITAS

PoS(ICRC2017)945. In-ice self-veto techniques for IceCube-Gen2. The IceCube-Gen2 Collaboration

Long-term stability plastic scintillation for LHAASO-KM2A

Study of Cosmic Rays Above 0.3 EeV Using Fly's Eye-Muon Array Coincidences

arxiv: v1 [astro-ph.he] 9 Sep 2015

AGIS (Advanced Gamma-ray Imaging System)

HAWC Observation of Supernova Remnants and Pulsar Wind Nebulae

The early days of ground-based gamma-ray astronomy in France. Gerard Fontaine - Hillas symposium Heidelberg December

A Monte Carlo simulation study for cosmic-ray chemical composition measurement with Cherenkov Telescope Array

Senior Design Proposal

American Institute of Physics 207

PoS(EPS-HEP2017)008. Status of the KM3NeT/ARCA telescope

Search for TeV Radiation from Pulsar Tails

Measurement of air shower maxima and p-air cross section with the Telescope Array

Study of the arrival directions of ultra-high-energy cosmic rays detected by the Pierre Auger Observatory

The AUGER Experiment. D. Martello Department of Physics University of Salento & INFN Lecce. D. Martello Dep. of Physics Univ. of Salento & INFN LECCE

Detection of Nearly-Horizontal Muons with the HAWC Observatory

Spacetimes with Killing tensors, L.P. Hughston, P. Sommers, Commun. Phys., (1973).

The Pierre Auger Observatory in 2007

PoS(KAON09)023. Beam Hole Photon Veto For J-PARC K O TO experiment. Yosuke Maeda Kyoto University

First Results from the Pierre Auger Project

Short review and prospects of radio detection of high-energy cosmic rays. Andreas Haungs

arxiv: v1 [astro-ph.im] 17 Sep 2015

Measurement of the CR e+/e- ratio with ground-based instruments

PoS(ICRC2017)407. Instrumentation for sflash

K-EUSO: An improved optical system for KLYPVE ultra-high energy cosmic ray space telescope

Search for a diffuse cosmic neutrino flux with ANTARES using track and cascade events

Gamma-ray observations of blazars with the Whipple 10 m telescope

arxiv:astro-ph/ v2 27 Apr 2002

Recent Results of the Telescope Array Experiment. Gordon Thomson University of Utah

EAS lateral distribution measured by analog readout and digital readout of ARGO-YBJ experiment

Some Thoughts on Laboratory Astrophysics for UHE Cosmic Rays. Pierre Sokolsky University of Utah SABRE Workshop SLAC, March, 2006

UC Irvine UC Irvine Previously Published Works

Status and Perspectives for KM3NeT/ORCA

PoS(PD07)031. General performance of the IceCube detector and the calibration results

IceCube: Dawn of Multi-Messenger Astronomy

Improving H.E.S.S. cosmic-ray background rejection by means of a new Gamma-Ray Air Shower Parametrisation (GRASP)

Jonathan Biteau, David Chinn, Dennis Dang, Kevin Doyle, Caitlin A. Johnson, David A. Williams, for the CTA Consortium

Cosmic ray indirect detection. Valerio Vagelli I.N.F.N. Perugia, Università degli Studi di Perugia Corso di Fisica dei Raggi Cosmici A.A.

P. Tinyakov 1 TELESCOPE ARRAY: LATEST RESULTS. P. Tinyakov. for the Telescope Array Collaboration. Telescope Array detector. Spectrum.

GAMMA-RAY ASTRONOMY: IMAGING ATMOSPHERIC CHERENKOV TECHNIQUE FABIO ZANDANEL - SESIONES CCD

Detecting High Energy Cosmic Rays with LOFAR

Studies of Ultra High Energy Cosmic Rays with the Pierre Auger Observatory

Status and Future of the HESS experiment

H.E.S.S. High Energy Stereoscopic System

High Energy γ-ray Observation. Team Blue Daikon Kyohei Yamada Yukiho Kobayashi Arisa Okumura Tiho Sugimoto Kaho Sunaga

A method of observing Cherenkov light at the Yakutsk EAS array

COSMIC RAY COMPOSITION.

Calibration of large water-cherenkov Detector at the Sierra Negra site of LAGO

Determination of parameters of cascade showers in the water calorimeter using 3D-distribution of Cherenkov light

The Pierre Auger Observatory Status - First Results - Plans

High-energy neutrino detection with the ANTARES underwater erenkov telescope. Manuela Vecchi Supervisor: Prof. Antonio Capone

Transcription:

Imaging and non-imaging Cherenkov hybrid reconstruction,a and Tareq Abu-Zayyad a for the Telescope Array Collaboration a The University of Utah E-mail: bergman@physics.utah.edu E-mail: tareq@cosmic.utah.edu Air showers with primary energies between 3 and 1 PeV which are pointed toward TALE give rise to an optical signal dominated by Cherenkov radiation rather than fluorescence light. The reconstruction of these showers can be greatly improved for a sample of these showers by placing a small (4 m square) array of non-imaging Cherenkov counters (5 counters) below the field of view of TALE. Estimates of the hybrid reconstruction resolutions for shower geometry, energy and X max are presented along with estimates of the hybrid aperture. NICHE counter designs and construction plans will be presented. PoS(ICRC15)345 The 34th International Cosmic Ray Conference, 3 July- 6 August, 15 The Hague, The Netherlands Speaker. Full author list at: http://www.telescopearray.org/images/papers/icrc15-authorlist.pdf c Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. http://pos.sissa.it/

1. Imaging Cherenkov for CRs from 1 1 PeV Imaging Air Cherenkov Telescopes (IACTs) have been used to observe the Extensive Air Showers (EASs) produced by TeV gamma rays for some time[1]. In these measurements the much more common Cosmic Ray (CR) produced EASs are a background. Typical IACTs are steerable with a field-of-view of a few degrees and are used in arrays so that the EASs can be observed in stereo. For these observations, it is important that the cameras in the IACTs have a small pixel size of order a.1 in order to differentiate between photon produced EASs and the much more copious CR produced showers. At PeV energies, the flux of photons is expected to be very small, but IACTs can still be used to observe CR EASs. Because of the lower fluxes at high energies, having a large field-of-view becomes of primary importance in obtaining a significant number of events. This comes at the expense however, of being able to make stereo observations. As it happens the Telescope Array (TA) Low Energy extension (TALE) has telescopes designed for observing sub-eev CRs in fluorescence. These telescopes are also ideal IACTs for measuring PeV CRs[]. Unlike the TeV IACTs, TALE observes the Cherenkov light from high P T electrons in the shower, i.e., observes the shower from well outside the Cherenkov cone defined by the core of the shower. The ideal viewing angles are 1.5 5. This has the effect of making the observed tracks much longer than for TeV IACTs, which is ideally suited to the much large pixels, approximately 1, of TALE. The difficulty in reconstructing showers with TALE is that in monocular measurements, one needs very long observed tracks in order to accurately determine the shower geometry within the shower-detector plane. However, when looking almost directly back along the shower as TALE does in Cherenkov measurements, a small change in the geometry makes a very large change in the depth of the imaged point of the shower. This can make the measured profile completely unphysical. Using this fact, and the fact that EAS longitudinal profiles from hadronic cosmic rays are all very similar, with a narrow range of depths of maxima and a small range of widths, one can use the profile as a constraint to allow a quite accurate measurement of the EAS geometry. This is called the Profile Constrained Geometry Fit (PCGF). However, one would like to have confirmation that the PCGF is working properly, and when it is, of the uncertainty in the fit EAS properties that the PCGF imposes. PoS(ICRC15)345. Non-imaging Cherenkov Observations In addition to making an image of the EAS in Cherenkov light, one can sample the Cherenkov light at many points on the ground. The index-of-refraction of the atmosphere is such that Cherenkov cones from the core of the EAS and from heights above the ground from 8 km all form rings of 1 14 m on the ground. The actual P T of the shower electrons smears out this ring, but the 1 m mark still separates the inner part of the Cherenkov shower footprint, filled in from the late, low part of the shower below 8 km, from the outer part of the shower which has contributions from higher-p T electrons throughout the EAS. The ratio of inner to outer Cherenkov intensities or the Cherenkov Lateral Distribution (CLD) thus is connected to details of the EAS longitudinal profile. Unlike surface detector arrays (which observe the actual electrons of showers)

the Cherenkov photons in the outer region come from all parts of the shower, not just the last few radiation lengths of the atmosphere. The time structure of the Cherenkov signal at a given point in the outer part of the shower also depends on the longitudinal profile. The portion of the shower which gives a measurable signal in a given counter depends on where the shower is brightest. If this is lower in the atmosphere, the time span in which the photons arrive will be longer. To use non-imaging Cherenkov, one typically uses an array of collectors. To measure the inner part of the shower footprint well, these collectors should have a spacing less than 1 m. However, larger spacings may still be useful if one intends to use the Cherenkov Time Width Distribution (CTWD) to measure the properties of air showers. At PeV energies, there is significant Cherenkov flux at the ground that the collectors can be of order 1-cm in size. The Non-Imaging CHErenkov (NICHE) array is a proposed array to make just this sort of measurement[3]. However, using TALE and NICHE together will be even better. 3. Benefits of Cherenkov hybrid The imaging and non-imaging air Cherenkov measurement techniques can be used together very effectively in the PeV region. This is similar to the way hybrid surface detector and fluorescence detector measurements work together at EeV scales, but the synergies are somewhat different, since both parts of the Cherenkov hybrid obtain signals from the bulk of the EAS. Like the EeV-scale hybrid detectors, PeV Cherenkov hybrid has excellent geometric reconstruction accuracy due to the addition of multiple timing measurements on the ground. This avoids the necessity of using the PCGF in TALE. In addition, because both the imaging and non-imaging detectors will make independent energy and X max measurements of the EAS, one can constrain other uncertainties such as the angular distribution of Cherenkov light within the EAS (c.f. the poster by Bergman from the 33rd ICRC[4]). 4. Single prototype counter measurements PoS(ICRC15)345 With TALE now deployed and commissioned, we constructed a prototype Cherenkov counter using two detectors from the BLANCA experiment. It should be pointed out that the 3.5" PMTs used in these are from the Fly s Eye detector, thus over 3 years old, and may have a significantly reduced sensitivity. In the NICHE-BLANCA prototype, the two BLANCA counters were placed side-by-side on a shipping pallet, and then tilted up to an angle of 45 to match the median TALE viewing angle. Note that the BLANCA counters have a viewing angle of 1.5 rather than the 45 planned for the actual NICHE array. The larger entrance aperture of the Winston cones, however, compensates for the low sensitivity of the PMTs. The PMT signals from both BLANCA counters were fed into a CAEN 1-bit digitizer operating at 5 MSPS. A coincidence between the two signals was required for triggering. An external 1 Hz trigger was provided by GPS for synchronization to TALE. Power was provided by a portable generator. A picture of the NICHE-BLANCA prototype in the field is shown in Figure 1. 3

Cherenkov hybrid On the morning of 17 February 15, we placed the NICHE-BLANCA prototype approximately 15 m in front of TALE and pointed in the direction as two of the TALE mirrors in order to look for coincidences between the two detectors. At the close position, the coincident events are not track-like in TALE, so the normal TALE analysis could not be performed. However, most of the signal in TALE comes within a few hundred ns (TALE s sample period is 1 ns), so a simple sum of the signal sufficed for performing a timing coincidence. A typical coincident event is shown on the left in Figure. Because the TALE signal is likely to be strongest and earliest in the center, with later signals filling out the circular collection of PMTs contributing, we compare the NICHE-BLANCA prototype trigger time to the mode of the TALE times. The resulting distribution of times is shown on the right in Figure. The RMS of 55 ns compares well with a perfect match (given the 1 ns TALE sample period) of an RMS of 9 ns. We will fold the 9-ns offset (different from the 9-ns perfect RMS) into the expected time in the far-position analysis below. The offset includes PMT transit time and trigger latency from both sites. The 13 coincident events were obtained in approximately 1 hours of running. On the morning of 18 February 15 we placed the NICHE-BLANCA prototype approximately 68 m from TALE, again pointed in the same direction as the TALE mirrors. The coincidences found in this location are track-like in TALE, so we used the full TALE (PCGF) analysis. It should be noted that the PCGF analysis provides a very tight constraint on the angle of these events (.1 ) but the impact parameter distance is less constrained and susceptible to uncertainty from bad tubes (PMTs with trigger times determined from night-sky background or other noise sources). A typical coincident event is shown in three panels in Figure 3. The left panel shows the result of the PCGF fit of TALE with the NICHE-BLANCA time projected to the TALE position. The 9-ns offset from near-position measurements is included the 55-ns RMS is shown as the error. This point is not included in the fit, but we will look to see how different it is from the fit projection. The center panel shows the geometry of the event as projected onto the ground plane of TALE. The shower core is represented as an arrow with the point of the arrow being where the 4 PoS(ICRC15)345 Figure 1: The NICHE-BLANCA Prototype in the field. The two BLANCA counters are evident from their long Winston cones, strapped to a shipping pallet aligned to point up at 45. The green light is from the portable generator used for power, while the red lights are from HV power supplies.

45 4 35 TALE sum waveform, NICHE waveforms 6:51:3.9159466 talesum Entries 7 Mean.43e+4 RMS 883.3 3 5 t (mode) distribution dnsmodeh Entries 13 Mean 9.45 RMS 55.3 3 5 15 15 1 5 1 3 4 Time from first mirror trigger (ns) 1 5 6 4 4 6 t (ns) Figure : Left: A coincidence between TALE and the NICHE-BLANCA prototype in the close position. The TALE signal is the sum of all PMT-signal FADC counts in triggered mirrors. The NICHE-BLANCA waveform is then overlaid in red and blue (one for each counter). The mean baseline signal from the NICHE- BLANCA FADC is scaled to be 9% of the TALE maximum. Right: The difference in time between the NICHE-BLANCA trigger and the mode of the TALE (summed) signal. shower hits the ground. The length of the arrow is m long, but projected onto the ground plane to give some sense of the zenith angle of the shower. The horizontal positions of TALE and the NICHE-BLANCA prototype are shown along with the points on the shower axis closest to each (as projected onto the ground plane). The right panel shows the view from TALE. The PMTs contributing are shown by colored circles, with the size of the circle proportional to the signal and the color (blue to red) indicating the time. The line shows the projection of the shower-detector plane onto the alt-azimuth plane. The NICHE-BLANCA prototype position is also indicated. We were fortunate to observe one very high energy event, observed in fluorescence from TALE. This event is shown in Figure 4. Note that the shower is not pointed into the NICHE- BLANCA prototype at all, but scattered Cherenkov light and the lateral extent of the shower were enough to trigger the counter. We observed 17 coincidences in approximately 1 hours at the far position. A summary of these events is shown in Figure 5. The left panel shows the difference between the NICHE- BLANCA time and the prediction for what it should have been given the PCGF fit at TALE. The 88-ns RMS is larger than one would like to see, but this is not yet a hybrid geometry fit. With only one counter on the ground, we cannot constrain the core position very well, so no hybridgeometry fit was performed. The center panel shows the locations of the where the showers hit the ground. For the most part they fall all around the NICHE-BLANCA prototype as expected. The one outlier in the SE is effected by a bad tube and should likely be close. The right panel shows the distribution of PCGF-reconstructed energies. The threshold appears to be about 3 PeV. The exact contribution to the threshold of TALE and the NICHE-BLANCA prototype has yet to be determined. The one event above 1 PeV is the fluorescence event shown in Figure 4. PoS(ICRC15)345 5

186 Time (ns) 184 18 18 178 176 174 17 17 168 Time vs Angle χ / ndf. / 1 R P 7.8 ψ 17.4 t 1.685e+4 166 1 1 3 4 5 Angle in SDP (deg) North of TALE (m) 4 6 8 1 1 14 Ground 4 6 8 1 1 14 East of TALE (m) Elevation (deg) 7 6 5 4 3 1 1 Mirror view 8 9 3 31 3 33 34 35 Azimuth (deg) Figure 3: A typical Cherenkov hybrid event. Left: Hybrid time-versus-angle. The time of light reaching TALE versus the angle in the shower-detector plane at which the light came. The BLANCA-NICHE prototype time and angle are adjusted for the projection of the NICHE counter onto the shower track. The red line shows the TALE-only profile-constrained fit (with fit parameters shown). Middle: Projection onto the TALE horizontal plane of the TALE position (black square), the BLANCA-NICHE prototype position (black circle), and the shower impact point and shower direction (red arrow, point of arrow at impact point). The location of the point where the shower axis is closest to TALE (the impact parameter point) as projected to the surface is shown as a small red square. The point where the shower axis passes closes to BLANCA- NICHE is shown as a small red circle. Note that since all the red elements are projections from the shower axis, they are all colinear in the figure. Right: The view on the sky. The pointing direction of PMTs viewing the shower, with the size being proportional to the received signal and the color going with time. The shower-detector plane is shown as the black line. Time (ns) 195 19 185 18 175 Time vs Angle χ / ndf 16.1 / 85 R P 51.8 ψ 69.1 t 1.714e+4 1 3 4 5 6 7 8 Angle in SDP (deg) North of TALE (m) 4 6 8 1 1 14 Ground 4 6 8 1 1 14 East of TALE (m) Elevation (deg) 7 6 5 4 3 1 1 Mirror view 8 9 3 31 3 33 34 35 Azimuth (deg) PoS(ICRC15)345 Figure 4: A fluorescence event. The panels are as in Figure 3. Note that the shower is not pointing at either TALE or BLANCA-NICHE. 5. Conclusion Both imaging and non-imaging Cherenkov detection methods are suitable for observing CR EASs at PeV energies. By using both imaging and non-imaging Cherenkov detectors in a hybrid detector, and even stronger observation can be made. We have deployed and commissioned the TALE detector as an IACT, and we are working to obtain funding for NICHE, a non-imaging Cherenkov array to be placed in front of TALE and work with it in hybrid. To assess the feasibility of NICHE counters, we have built a prototype NICHE counter using 6

5 4 3 1 t t distribution dnsh Entries 17 Mean 5.99 RMS 68.6 1 8 6 4 4 6 81 t (ns) North of TALE (m) 4 6 8 1 1 14 Ground 4 6 8 1 1 14 East of TALE (m) 4 3.5 3.5 1.5 1.5 Events by log E 1 evtle Entries 17 Mean.7839 RMS.4456.5 1 1.5.5 3 log (E/PeV) 1 Figure 5: Summary plots of the 17 events seen in coincidence by TALE CHerenkov and NICHE-BLANCA Left: The difference between the NICHE-BLANCA time and the prediction for what it should have been given the PCGF fit at TALE Middle: Locations of shower cores in the TALE horizontal plane (red squares). TALE is shown as a black square and NICHE-BLANCA is shown as a black circle. Right: The energies of the events as estimated from TALE. old BLANCA counters. We succeeded in finding coincidences between this NICHE-BLANCA prototype and TALE. Acknowledgements The Telescope Array experiment is supported by the Japan Society for the Promotion of Science through Grants-in-Aid for Scientific Research on Specially Promoted Research (1) Extreme Phenomena in the Universe Explored by Highest Energy Cosmic Rays and for Scientific Research (19146), and the Inter-University Research Program of the Institute for Cosmic Ray Research; by the U.S. National Science Foundation awards PHY-3798, PHY-61915, PHY-649681, PHY-73893, PHY-75834, PHY-8483, PHY-1698, PHY-16986, PHY- 144495 and PHY-1445; by the National Research Foundation of Korea (7-9386, R3-113, 1R1A1A8381, 134883); by the Russian Academy of Sciences, RFBR grants 11--158a and 13--1311a (INR), IISN project No. 4.45.13, and Belgian Science Policy under IUAP VII/37 (ULB). The foundations of Dr. Ezekiel R. and Edna Wattis Dumke, Willard L. Eccles, and George S. and Dolores Doré Eccles all helped with generous donations. The State of Utah supported the project through its Economic Development Board, and the University of Utah through the Office of the Vice President for Research. The experimental site became available through the cooperation of the Utah School and Institutional Trust Lands Administration (SITLA), U.S. Bureau of Land Management, and the U.S. Air Force. We also wish to thank the people and the officials of Millard County, Utah for their steadfast and warm support. We gratefully acknowledge the contributions from the technical staffs of our home institutions. An allocation of computer time from the Center for High Performance Computing at the University of Utah is gratefully acknowledged. PoS(ICRC15)345 7

References [1] J. Holder, Ground-Based Gamma Ray Astronomy, Proceedings of the 33rd ICRC (Rio de Janeiro), Brazilian Journal of Physics 44 (14) 45. [] T. Abu-Zayyad, Cerenkov Events Seen by The TALE Air Fluorescence Detector, Proceedings of DPF 13 (Santa Cruz), arxiv:131.69. [3] D.R. Bergman, J.F. Krizmanic, Y. Tsunesada, The NICHE Array: status and plans, these proceedings, PoS(ICRC15)635. [4] D.R. Bergman, An Efficient Technique for the Reconstruction of Extensive Air Showers using Non-Imaging Cherenkov Measurements, Proceedings of the 33rd ICRC (Rio de Janeiro), 983. PoS(ICRC15)345 8