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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
Inhalt
Abstract
Contents
Introduction
Cosmic Rays
Energy Spectrum
Distribution of Arrival Directions
Small Scale Anisotropy
Large Scale Anisotropy
Detection Techniques at High Energy
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
Monte Carlo Simulations
Summary
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
Monte Carlo Simulations
Summary
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
Derivation of the Estimators
Summary
Tabulated Results of the Monte Carlo Studies
List of Figures
List of Tables
Bibliography
Acknowledgement