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Supervisor's Foreword; Abstract; Acknowledgements; Contents; Preamble; 1 Introduction to Cosmic Rays and Extensive Air Showers ; 1.1 Extensive Air Showers; 1.1.1 Heitler's Toy Model; 1.2 Mass Composition of Cosmic Rays; 1.3 Possible Sources of Cosmic Rays; 1.4 Indirect Detection of Cosmic Rays via Air Shower Measurements; 1.4.1 Particle Detectors; 1.4.2 Optical Detectors; References; 2 Modeling of Radio Emission from Particle/Air Showers; 2.1 Microscopic Modeling; 2.1.1 The Endpoint Formalism; 2.1.2 The ZHS Formalism
2.1.3 Application in Monte-Carlo Simulations and in the Interpretation of Measured Data2.2 Experiments for Air Shower Detection; 2.2.1 LOPES; 2.2.2 AERA; 2.2.3 ANITA; 2.2.4 LOFAR; 2.2.5 SKA-low; 2.2.6 Laboratory Experiments; 2.3 Ability to Predict Radio Emission from a Particle/Air Shower Using Microscopic Simulations; References; 3 Testing Predictions for Radio Emission from Particle Showers Under Lab Conditions; 3.1 Experimental Setup of the T-510 Experiment; 3.1.1 The SLAC Electron Beam; 3.1.2 The High Density Polyethylene Target; 3.1.3 The Magnetic Field; 3.1.4 The Horn Antennas
3.1.5 The Data Acquisition System3.2 Scaling Results to Air Showers; References; 4 Modeling the Radio Emission from a Particle Shower for the T-510 Experiment; 4.1 Implementation of the Realistic Magnetic Field Strength Distribution; 4.2 Reducing the Impact of ``Superluminal'' Electrons; 4.3 Implementation of the Formalisms in the Shower Simulation; 4.3.1 Details of the Implementation of the ZHS Formalism; 4.3.2 Details of the Implementation of the Endpoint Formalism; 4.3.3 Timing of the Signal Arrival in the Simulation; 4.3.4 Refraction and Transmission Effects
4.4 Application of the Simulation to the T-510 Experiment4.4.1 Transition Radiation; 4.4.2 Comparison of Simulation Results Using the Endpoint and the ZHS Formalisms; 4.4.3 Cherenkov-Like Effects Reproduced by the Simulation; References; 5 Comparison of Microscopic Simulations of Radio Emission to Measured Data; 5.1 Convolving the Simulations with the Detector Response; 5.2 Comparison of the Simulation Results Using the Endpoint and the ZHS Formalism to Measured Data; 5.3 Impact of Internal Reflections; 5.4 Influence of the Magnetic Field on the Radio Emission
5.5 A Scan of the Cherenkov Cone5.6 Polarisation Characteristics of the Radio Signal from Particle Showers; 5.7 Ideas for future experiments; 5.8 Summary and Conclusion; References; 6 Going to Extreme Precision Measurements: Detecting Cosmic Rays with SKA1-Low; 6.1 Experimental Setup; 6.1.1 Engineering Changes; 6.2 Measuring the Mass Composition of Cosmic Rays in the Transition Region; 6.2.1 Measurements of the Shower Maximum via Radio Signals; 6.2.2 From LOFAR to SKA; 6.3 Initial Simulation Studies; 6.3.1 Reconstruction Method of the Shower Depth for SKA1-Low
2.1.3 Application in Monte-Carlo Simulations and in the Interpretation of Measured Data2.2 Experiments for Air Shower Detection; 2.2.1 LOPES; 2.2.2 AERA; 2.2.3 ANITA; 2.2.4 LOFAR; 2.2.5 SKA-low; 2.2.6 Laboratory Experiments; 2.3 Ability to Predict Radio Emission from a Particle/Air Shower Using Microscopic Simulations; References; 3 Testing Predictions for Radio Emission from Particle Showers Under Lab Conditions; 3.1 Experimental Setup of the T-510 Experiment; 3.1.1 The SLAC Electron Beam; 3.1.2 The High Density Polyethylene Target; 3.1.3 The Magnetic Field; 3.1.4 The Horn Antennas
3.1.5 The Data Acquisition System3.2 Scaling Results to Air Showers; References; 4 Modeling the Radio Emission from a Particle Shower for the T-510 Experiment; 4.1 Implementation of the Realistic Magnetic Field Strength Distribution; 4.2 Reducing the Impact of ``Superluminal'' Electrons; 4.3 Implementation of the Formalisms in the Shower Simulation; 4.3.1 Details of the Implementation of the ZHS Formalism; 4.3.2 Details of the Implementation of the Endpoint Formalism; 4.3.3 Timing of the Signal Arrival in the Simulation; 4.3.4 Refraction and Transmission Effects
4.4 Application of the Simulation to the T-510 Experiment4.4.1 Transition Radiation; 4.4.2 Comparison of Simulation Results Using the Endpoint and the ZHS Formalisms; 4.4.3 Cherenkov-Like Effects Reproduced by the Simulation; References; 5 Comparison of Microscopic Simulations of Radio Emission to Measured Data; 5.1 Convolving the Simulations with the Detector Response; 5.2 Comparison of the Simulation Results Using the Endpoint and the ZHS Formalism to Measured Data; 5.3 Impact of Internal Reflections; 5.4 Influence of the Magnetic Field on the Radio Emission
5.5 A Scan of the Cherenkov Cone5.6 Polarisation Characteristics of the Radio Signal from Particle Showers; 5.7 Ideas for future experiments; 5.8 Summary and Conclusion; References; 6 Going to Extreme Precision Measurements: Detecting Cosmic Rays with SKA1-Low; 6.1 Experimental Setup; 6.1.1 Engineering Changes; 6.2 Measuring the Mass Composition of Cosmic Rays in the Transition Region; 6.2.1 Measurements of the Shower Maximum via Radio Signals; 6.2.2 From LOFAR to SKA; 6.3 Initial Simulation Studies; 6.3.1 Reconstruction Method of the Shower Depth for SKA1-Low