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The atmospheric depth of the air shower maximum $X_{\mathrm{max}}$ is an observable commonly used for the determination of the nuclear mass composition of ultra-high energy cosmic rays. Direct measurements of $X_{\mathrm{max}}$ are…

Instrumentation and Methods for Astrophysics · Physics 2021-07-28 The Pierre Auger Collaboration , A. Aab , P. Abreu , M. Aglietta , J. M. Albury , I. Allekotte , A. Almela , J. Alvarez-Muñiz , R. Alves Batista , G. A. Anastasi , L. Anchordoqui , B. Andrada , S. Andringa , C. Aramo , P. R. Araújo Ferreira , J. C. Arteaga Velázquez , H. Asorey , P. Assis , G. Avila , A. M. Badescu , A. Bakalova , A. Balaceanu , F. Barbato , R. J. Barreira Luz , K. H. Becker , J. A. Bellido , C. Berat , M. E. Bertaina , X. Bertou , P. L. Biermann , T. Bister , J. Biteau , J. Blazek , C. Bleve , M. Boháčová , D. Boncioli , C. Bonifazi , L. Bonneau Arbeletche , N. Borodai , A. M. Botti , J. Brack , T. Bretz , P. G. Brichetto Orchera , F. L. Briechle , P. Buchholz , A. Bueno , S. Buitink , M. Buscemi , K. S. Caballero-Mora , L. Caccianiga , F. Canfora , I. Caracas , J. M. Carceller , R. Caruso , A. Castellina , F. Catalani , G. Cataldi , L. Cazon , M. Cerda , J. A. Chinellato , K. Choi , J. Chudoba , L. Chytka , R. W. Clay , A. C. Cobos Cerutti , R. Colalillo , A. Coleman , M. R. Coluccia , R. Conceição , A. Condorelli , G. Consolati , F. Contreras , F. Convenga , D. Correia dos Santos , C. E. Covault , S. Dasso , K. Daumiller , B. R. Dawson , J. A. Day , R. M. de Almeida , J. de Jesús , S. J. de Jong , G. De Mauro , J. R. T. de Mello Neto , I. De Mitri , J. de Oliveira , D. de Oliveira Franco , F. de Palma , V. de Souza , E. De Vito , M. del Río , O. Deligny , A. Di Matteo , C. Dobrigkeit , J. C. D'Olivo , R. C. dos Anjos , M. T. Dova , J. Ebr , R. Engel , I. Epicoco , M. Erdmann , C. O. Escobar , A. Etchegoyen , H. Falcke , J. Farmer , G. Farrar , A. C. Fauth , N. Fazzini , F. Feldbusch , F. Fenu , B. Fick , J. M. Figueira , A. Filipčič , T. Fodran , M. M. Freire , T. Fujii , A. Fuster , C. Galea , C. Galelli , B. García , A. L. Garcia Vegas , H. Gemmeke , F. Gesualdi , A. Gherghel-Lascu , P. L. Ghia , U. Giaccari , M. Giammarchi , M. Giller , J. Glombitza , F. Gobbi , F. Gollan , G. Golup , M. Gómez Berisso , P. F. Gómez Vitale , J. P. Gongora , J. M. González , N. González , I. Goos , D. Góra , A. Gorgi , M. Gottowik , T. D. Grubb , F. Guarino , G. P. Guedes , E. Guido , S. Hahn , P. Hamal , M. R. Hampel , P. Hansen , D. Harari , V. M. Harvey , A. Haungs , T. Hebbeker , D. Heck , G. C. Hill , C. Hojvat , J. R. Hörandel , P. Horvath , M. Hrabovský , T. Huege , J. Hulsman , A. Insolia , P. G. Isar , P. Janecek , J. A. Johnsen , J. Jurysek , A. Kääpä , K. H. Kampert , B. Keilhauer , J. Kemp , H. O. Klages , M. Kleifges , J. Kleinfeller , M. Köpke , N. Kunka , B. L. Lago , R. G. Lang , N. Langner , M. A. Leigui de Oliveira , V. Lenok , A. Letessier-Selvon , I. Lhenry-Yvon , D. Lo Presti , L. Lopes , R. López , L. Lu , Q. Luce , A. Lucero , J. P. Lundquist , A. Machado Payeras , G. Mancarella , D. Mandat , B. C. Manning , J. Manshanden , P. Mantsch , S. Marafico , A. G. Mariazzi , I. C. Mariş , G. Marsella , D. Martello , H. Martinez , O. Martínez Bravo , M. Mastrodicasa , H. J. Mathes , J. Matthews , G. Matthiae , E. Mayotte , P. O. Mazur , G. Medina-Tanco , D. Melo , A. Menshikov , K. -D. Merenda , S. Michal , M. I. Micheletti , L. Miramonti , S. Mollerach , F. Montanet , C. Morello , M. Mostafá , A. L. Müller , M. A. Muller , K. Mulrey , R. Mussa , M. Muzio , W. M. Namasaka , A. Nasr-Esfahani , L. Nellen , M. Niculescu-Oglinzanu , M. Niechciol , D. Nitz , D. Nosek , V. Novotny , L. Nožka , A Nucita , L. A. Núñez , M. Palatka , J. Pallotta , P. Papenbreer , G. Parente , A. Parra , M. Pech , F. Pedreira , J. Pękala , R. Pelayo , J. Peña-Rodriguez , E. E. Pereira Martins , J. Perez Armand , C. Pérez Bertolli , M. Perlin , L. Perrone , S. Petrera , T. Pierog , M. Pimenta , V. Pirronello , M. Platino , B. Pont , M. Pothast , P. Privitera , M. Prouza , A. Puyleart , S. Querchfeld , J. Rautenberg , D. Ravignani , M. Reininghaus , J. Ridky , F. Riehn , M. Risse , V. Rizi , W. Rodrigues de Carvalho , J. Rodriguez Rojo , M. J. Roncoroni , M. Roth , E. Roulet , A. C. Rovero , P. Ruehl , S. J. Saffi , A. Saftoiu , F. Salamida , H. Salazar , G. Salina , J. D. Sanabria Gomez , F. Sánchez , E. M. Santos , E. Santos , F. Sarazin , R. Sarmento , C. Sarmiento-Cano , R. Sato , P. Savina , C. M. Schäfer , V. Scherini , H. Schieler , M. Schimassek , M. Schimp , F. Schlüter , D. Schmidt , O. Scholten , P. Schovánek , F. G. Schröder , S. Schröder , J. Schulte , S. J. Sciutto , M. Scornavacche , A. Segreto , S. Sehgal , R. C. Shellard , G. Sigl , G. Silli , O. Sima , R. Šmída , P. Sommers , J. F. Soriano , J. Souchard , R. Squartini , M. Stadelmaier , D. Stanca , S. Stanič , J. Stasielak , P. Stassi , A. Streich , M. Suárez-Durán , T. Sudholz , T. Suomijärvi , A. D. Supanitsky , J. Šupík , Z. Szadkowski , A. Taboada , A. Tapia , C. Taricco , C. Timmermans , O. Tkachenko , P. Tobiska , C. J. Todero Peixoto , B. Tomé , A. Travaini , P. Travnicek , C. Trimarelli , M. Trini , M. Tueros , R. Ulrich , M. Unger , L. Vaclavek , M. Vacula , J. F. Valdés Galicia , L. Valore , E. Varela , V. Varma K. C. , A. Vásquez-Ramírez , D. Veberič , C. Ventura , I. D. Vergara Quispe , V. Verzi , J. Vicha , J. Vink , S. Vorobiov , H. Wahlberg , C. Watanabe , A. A. Watson , M. Weber , A. Weindl , L. Wiencke , H. Wilczyński , T. Winchen , M. Wirtz , D. Wittkowski , B. Wundheiler , A. Yushkov , O. Zapparrata , E. Zas , D. Zavrtanik , M. Zavrtanik , L. Zehrer , A. Zepeda

The average extensive air shower longitudinal development profile as a function of shower age in the energy range from 10$^{17}$ to 10$^{18}$eV is measured using data from the hybrid HiRes/MIA experiment. An angular bin signal based…

Astrophysics · Physics 2011-05-23 T. Abu-Zayyad et. al

Ultra-high-energy cosmic rays (UHECR), of energy >10 EeV, arrive at the Earth regularly, but their sources, acceleration mechanisms, details of propagation through the universe, and particle composition remain mysteries. In addition, their…

Instrumentation and Methods for Astrophysics · Physics 2020-12-10 Sijbrand de Jong

We present an improved method for the precise reconstruction of cosmic ray air showers above $10^{17}$ eV with sparse radio arrays. The method is based on the comparison of predictions for radio pulse shapes by CoREAS simulations to…

Ultra-high-energy cosmic-ray (UHECR) observatories require unbiased direction reconstruction to enable multi-messenger astronomy with sparse, nanosecond-scale radio pulses. Explicit likelihood methods often rely on simplified models, which…

High Energy Astrophysical Phenomena · Physics 2026-03-12 Oscar Macias , Zachary Mason , Matthew Ho , Arsène Ferrière , Aurélien Benoit-Lévy , Matías Tueros

For high-energy cosmic-ray physics, it is imperative to determine the mass and energy of the cosmic ray that initiated the air shower in the atmosphere. This information can be extracted from the longitudinal profile of the air shower. In…

Instrumentation and Methods for Astrophysics · Physics 2025-09-23 O. Scholten , T. N. G. Trinh , S. Buitink , A. Corstanje , B. M. Hare , T. Huege , B. V. Jhansi , K. Mulrey , A. Nelles , H. Schoorlemmer , S. Thoudam , P. Turekova , K. de Vries

Very inclined extensive air showers (EAS), with both down-going and up-going trajectories, are particularly targeted by the next generation of extended radio arrays, such as GRAND. Methods to reconstruct the incoming direction, core…

Instrumentation and Methods for Astrophysics · Physics 2022-09-21 Valentin Decoene , Olivier Martineau-Huynh , Matìas Tueros , Simon Chiche

At the Pierre Auger Observatory and the Telescope Array, the measurements of depths of maximum of air-shower profiles, $X_\mathrm{max}$, are performed using direct observations of the longitudinal development of showers with the help of the…

High Energy Astrophysical Phenomena · Physics 2019-05-20 Alexey Yushkov , Jose Bellido , John Belz , Vitor de Souza , William Hanlon , Daisuke Ikeda , Pierre Sokolsky , Yoshiki Tsunesada , Michael Unger

Ultra-high energy cosmic rays can be measured through the detection of radio-frequency radiation from air showers. The radio-frequency emission originates from deflections of the air-shower particles in the geomagnetic field and from a…

High Energy Astrophysical Phenomena · Physics 2018-10-01 Christian Glaser , Sijbrand de Jong , Martin Erdmann , Jörg R. Hörandel

We present a new approach for image reconstruction and weak lensing measurements with interferometers. Based on the shapelet formalism presented in Refregier (2001), object images are decomposed into orthonormal Hermite basis functions. The…

Astrophysics · Physics 2009-11-06 Tzu-Ching Chang , Alexandre Refregier

The origin of ultra-high-energy cosmic rays (UHECRs) is one of the intriguing mysteries in astroparticle physics. In order to identify their sources, we need precise knowledge of the mass composition of UHECRs. The direct detection of…

Instrumentation and Methods for Astrophysics · Physics 2025-09-15 Steffen Hahn

The current generation of air shower radio arrays has demonstrated that the atmospheric depth of the shower maximum Xmax can be reconstructed with high accuracy. These experiments are now contributing to mass composition studies in the…

The radio emission of cosmic-ray air-showers changes significantly depending on parameters like signal frequency, magnetic field configuration and observing altitude. We use CoREAS simulations to adapt an existing signal model for the radio…

Instrumentation and Methods for Astrophysics · Physics 2025-07-10 Lukas Gülzow , Ralph Engel , Tim Huege , Markus Roth , Felix Schlüter

We propose a novel approach for the determination of the nature of ultra-high energy cosmic rays by exploiting the geomagnetic deviation of muons in nearly horizontal showers. The distribution of the muons at ground level is well described…

Instrumentation and Methods for Astrophysics · Physics 2015-10-21 Pierre Billoir , Mariangela Settimo , Miguel Blanco

Radio-detection is becoming an established technique for the detection of air showers induced by cosmic particles. This is in particular true at the highest energies, where very large detection areas are required. A proper description of…

Instrumentation and Methods for Astrophysics · Physics 2022-10-04 Valentin Decoene , Olivier Martineau-Huynh , Matias Tueros

The burst of radio emission by the extensive air shower provides a promising alternative for detecting ultra-high energy cosmic rays.We have developed an independent numerical program to simulate these radio signals. Our code is based on a…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Wei Liu , Xuelei Chen

Analyzing measurements of the LOPES antenna array together with corresponding CoREAS simulations for more than 300 measured events with energy above $10^{17}\,$eV and zenith angles smaller than $45^\circ$, we find that the radio wavefront…

The Pierre Auger Observatory's (PAO) shower profile measurements can be used to constrain the chemical composition of the ultra-high energy cosmic ray (UHECR) spectrum. In particular, the PAO's measurements of the average depth of shower…

High Energy Astrophysical Phenomena · Physics 2010-05-12 Dan Hooper , Andrew M. Taylor

LOPES is a digital antenna array at the Karlsruhe Institute of Technology, Germany, for cosmic-ray air-shower measurements. Triggered by the co-located KASCADE-Grande air-shower array, LOPES detects the radio emission of air showers via…

The standard method to estimate the mass of a cosmic ray is the measurement of the atmospheric depth of the shower maximum ($X_\text{max}$). This depth is strongly correlated with the mass of the primary because it depends on the…

Instrumentation and Methods for Astrophysics · Physics 2019-08-13 Florian Gaté