Over, Sven: Methods for the reconstruction of large scale anisotropies of the cosmic ray fluxMethoden zur Rekonstruktion großräumiger Anisotropien des Flusses der kosmischen Strahlung. 2009
Content
- Abstract
- Contents
- Introduction
- Cosmic Rays
- Coordinate Systems
- Spherical Coordinates
- The Celestial Sphere
- Horizontal Coordinates
- Equatorial Coordinates
- Ecliptic Coordinates
- Galactic Coordinates
- Precession, Nutation, Aberration and Refraction
- Conversion Between Coordinate Systems
- Reconstruction of Large Scale Anisotropies
- Flux Distributions
- Calculation of the Exposure
- Rayleigh Analysis
- The Formalism
- Exposure Based Weighting
- Applying the Rayleigh Formalism to a Two-Dimensional Dipole Distribution
- The Rayleigh Analysis in Three Dimensions
- Summary
- The SAP Method for Dipole Reconstruction
- Multipole Reconstruction
- The East-West Method
- Summary
- Monte Carlo Simulation Studies
- Display of Data Sets
- The Monte Carlo Generator
- Isotropic Distribution
- Dipole Distribution
- Higher Order Multipoles
- Generation of Experiment-Like Data Sets
- Tests of the Monte Carlo Generator
- Tests of Reconstruction Methods
- A Quantitative Measure of the Reconstruction Quality
- The Standard Parameters for Simulated Data Sets
- Rayleigh Analysis
- The SAP Method
- Multipole Expansion For Dipole Reconstruction
- The Influence of Configuration Parameters
- Number of Simulated Events
- Zenith Angle Limit
- Geographical Latitude
- Dipole Amplitude
- Dipole Declination
- The Impact of Experimental Effects
- Interruptions of the Measurements
- Rate Variations Due To Metereological Effects
- Angular Resolution
- Inclination Dependent Efficiency Defect
- Summary
- New Methods for Dipole Reconstruction
- Time Based Weighting
- A Modified SAP Method
- Derivation of a Dipole Estimator
- Plausibility Checks
- Time Based Weighting
- Comparison of the Modified SAP Method and the Multipole Expansion Method
- Monte Carlo Simulations
- Summary
- The Slice Method for Dipole Reconstruction
- Rayleigh Analysis in Horizontal Coordinates
- Monte Carlo Simulations
- The Influence of Configuration Parameters and Experimental Effects
- Standard configuration data sets
- Number of Simulated Events
- Zenith Angle Limit
- Geographical Latitude
- Dipole Amplitude
- Dipole Declination
- Rate Variations Due To Metereological Effects
- Angular Resolution
- Inclination Dependent Efficiency Defect
- Summary
- Concluding Comparison of the Available Methods
- Summary and Conclusions
- Definition of Spherical Harmonic Functions
- An Unbiased Estimator for the Quality Measure
- Tabulated Results of the Monte Carlo Studies
- List of Figures
- List of Tables
- Bibliography
- Acknowledgement