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@PHDTHESIS{Glaser:686745,
      author       = {Glaser, Jens Christian},
      othercontributors = {Erdmann, Martin and Wiebusch, Christopher},
      title        = {{A}bsolute energy calibration of the {P}ierre {A}uger
                      observatory using radio emission of extensive air showers},
      school       = {RWTH Aachen University},
      type         = {Dissertation},
      address      = {Aachen},
      reportid     = {RWTH-2017-02960},
      pages        = {1 Online-Ressource (v, 189 Seiten) : Illustrationen,
                      Diagramme},
      year         = {2017},
      note         = {Veröffentlicht auf dem Publikationsserver der RWTH Aachen
                      University; Dissertation, RWTH Aachen University, 2017},
      abstract     = {Ultra-high-energy cosmic rays can be measured by short
                      radio pulses in the MHz regime emitted by extensive air
                      showers. This radio technique is complementary to existing
                      techniques such as surface detector arrays or fluorescence
                      telescopes. It has a duty cycle of almost $100\%$ and is
                      sensitive to all main air-shower observables such as the
                      cosmic-ray energy, mass, and arrival direction. In this
                      thesis, we developed a new method to determine the
                      cosmic-ray energy. We showed that the radio technique is
                      especially useful to determine the cosmic-ray energy with
                      high accuracy and is superior to existing techniques in term
                      of achievable accuracy. This is because the radio emission
                      from air showers can be calculated from first principles,
                      and radio waves are less influenced by environmental
                      conditions compared to, e.g., fluorescence light. As an
                      accurate energy scale is crucial for the interpretation of
                      cosmic-ray measurements, the radio technique will thus be
                      able to significantly advance this field of research. We
                      first studied the energy released in air showers in the form
                      of MHz radiation in detail, using CoREAS air-shower
                      simulations. Depending on the distance between the observer
                      and the region in the atmosphere where the radiation is
                      released, the shape of the signal distribution on the ground
                      changes significantly. For small distances to the emission
                      region, the signal distribution is narrow around the shower
                      axis with large energies per unit area, whereas for large
                      distances to the emission region the radiation energy is
                      distributed over a larger area resulting in a broad signal
                      distribution with a small amount of energy per unit area. As
                      soon as the air shower has emitted all its radiation energy,
                      the total radiation energy, i.e., the integral over the
                      signal distribution on the ground, remains constant. In
                      particular, it does not depend on the spacial signal
                      distribution on the ground or on the observation altitude
                      and is thus directly comparable between different
                      experiments.The simulated radiation energy – corrected for
                      the dependence on the geomagnetic field – correlates best
                      with the energy contained in the electromagnetic part of the
                      air shower and exhibits quadratic scaling with the
                      electromagnetic shower energy, as is expected for coherent
                      emission. The electromagnetic shower energy can be converted
                      to the primary cosmic-ray energy using predictions from
                      hadronic interaction models or a direct measurement of the
                      invisible energy fraction alternatively.The simulated
                      radiation energy has a second-order dependency on the air
                      density of the emission region. After correcting this
                      effect, the corrected radiation energy and the
                      electromagnetic shower energy have a scatter of less than
                      $3\%.$ In addition, we presented a more practical
                      parametrization of the dependence between radiation energy
                      and electromagnetic shower energy using only the geometry of
                      the air shower, i.e., without using Xmax information, and
                      obtained a resolution of $4\%.$ This scatter of $4\%$ is
                      well below current experimental uncertainties, so that the
                      radiation energy is well suited to estimate the cosmic-ray
                      energy.If the radiation energy is detected at a particular
                      observation height, the air shower may not have released all
                      its radiation energy. The strength of this clipping effect
                      depends on the atmospheric depth between observation height
                      and shower maximum. We presented a parametrization of this
                      effect that can be used in experiments to correctly
                      determine the full radiation energy and thereby estimate the
                      cosmic-ray energy. The radiation energy is influenced less
                      by clipping than the electromagnetic part of the air shower
                      as the radiation energy is released earlier in the shower
                      development.Then, we used data from the Auger Engineering
                      Radio Array (AERA) which is the radio detector of the Pierre
                      Auger Observatory. AERA is located within the low-energy
                      extension of the Observatory where additional surface
                      detector stations with a smaller spacing are present, which
                      enables access to cosmic-ray energies down to 0.1 EeV. To
                      most accurately determine the cosmic-ray energy, we only use
                      the thoroughly calibrated 24 LPDA radio stations of the
                      first stage of AERA deployment, with data collected between
                      April 2011 and March 2013. At several observer positions,
                      the energy deposit per area of the radio pulse of an
                      extensive air shower is measured. Using recent progress in
                      understanding the lateral signal distribution of the radio
                      signals, this distribution is described by an empirical
                      function. The spatial integral of the lateral distribution
                      function gives the amount of energy that is transferred from
                      the primary cosmic ray into radio emission in the 30 to 80
                      MHz frequency band of AERA during the air-shower
                      development. We measured on average 15.8 MeV of radiation
                      energy for a 1 EeV air shower arriving perpendicularly to a
                      geomagnetic field of 0.24 G. The systematic uncertainty is
                      $28\%$ on the radiation energy and $16\%$ on the cosmic-ray
                      energy.Using the results from the simulation study, the
                      radiation energy is corrected for different emission
                      strengths at different angles between shower axis and
                      geomagnetic field, for changing emission strengths due to
                      different air densities in the emission region as well as
                      for missing radiation energy of air showers that are not
                      fully developed before reaching the ground. This corrected
                      radiation energy is compared with the calorimetric
                      air-shower energy obtained from the the surface-detector
                      reconstruction. Investigating the scatter around the
                      calibration curve and subtracting the resolution of the
                      surface detector we found that the energy resolution of the
                      radio detector is $20\%$ for the full data set, and $14\%$
                      for the events with more than four stations with signal,
                      where the core position could be determined in the radio LDF
                      fit. Given the small shower-to-shower fluctuations of the
                      electromagnetic component, we expect that with a deeper
                      understanding of the detector and environmental effects, an
                      even improved precision of the energy measurement can be
                      achieved.The first-principles calculations are compared to
                      the measurement of the radiation energy with respect to the
                      energy scale of the fluorescence detector (FD). We found
                      that the first-principles calculations predict $19\%$ larger
                      cosmic-ray energies than given by the FD energy scale at
                      energies around 1 EeV. The systematic uncertainty of the
                      radio energy scale is $15\%$ and is dominated by the
                      detector calibration that contributes with $14\%.$ Hence,
                      the radio technique is well competitive to the fluorescence
                      technique with its systematic uncertainty of $14\%$ at
                      energies above 1 EeV and $16\%$ at energies of around 0.3
                      EeV. In particular, the difference in the energy scales is
                      well compatible within the systematic uncertainties. In the
                      future, a significant improvement in the systematic
                      uncertainty of the radio energy scale is expected. Using the
                      results of a recently performed calibration campaign of the
                      antenna response, the total systematic uncertainty can be
                      reduced to $10\%.$ With further improvements in the antenna
                      calibration and more detailed first-principles calculations,
                      a reduction of the uncertainty to $7\%$ or below seems
                      realistic. Hence, the radio technique together with the
                      methods developed in this thesis can deliver unprecedented
                      accuracy of the cosmic-ray energy scale. This will allow for
                      a significant improvement in the interpretation of the
                      results of the Pierre Auger Observatory.},
      cin          = {133320 / 130000},
      ddc          = {530},
      cid          = {$I:(DE-82)133320_20140620$ / $I:(DE-82)130000_20140620$},
      pnm          = {GRK 1675 - GRK 1675: Teilchen- und Astroteilchenphysik im
                      Lichte von LHC (164315326)},
      pid          = {G:(GEPRIS)164315326},
      typ          = {PUB:(DE-HGF)11},
      doi          = {10.18154/RWTH-2017-02960},
      url          = {https://publications.rwth-aachen.de/record/686745},
}