% IMPORTANT: The following is UTF-8 encoded. This means that in the presence % of non-ASCII characters, it will not work with BibTeX 0.99 or older. % Instead, you should use an up-to-date BibTeX implementation like “bibtex8” or % “biber”. @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}, }