Aperture correction for Beamforming in radiometric detection of ultra-high energy cosmic rays
arXiv:2411.12324 · doi:10.1103/PhysRevD.110.103036
Abstract
For high-energy cosmic-ray physics, it is imperative to determine the mass and energy of the cosmic ray that initiated the air shower in the atmosphere. This information can be extracted from the longitudinal profile of the air shower. In radio-metric observations, this profile is customarily determined through an extensive fitting procedure where calculated radio intensity is fitted to data. Beamforming the measured signals offers a promising alternative to bypass the cumbersome fitting procedure and to determine the longitudinal profile directly. Finite aperture effects in beamforming hamper the resolution with which this profile can be determined. We present a comprehensive investigation of the beamforming resolution in radiometric observations of air showers. There are two, principally different, approaches possible in air-shower beamforming, one where the total beamforming intensity is determined and an alternative where the beamforming trace is cross-correlated with a known response function. The effects due to a finite aperture (size of antenna array and bandwidth) are large for both approaches. We argue that it is possible to correct for the aperture corrections using an unfolding procedure. We give an explicit expression for the folding function, the kernel. Being able to calculate the folding function allows for unfolding the finite aperture effects from the data. We show that, in a model-to-model comparison, this allows for an accurate reconstruction of the current profile as the shower develops in the atmosphere. We present also an example where we reconstruct the longitudinal current profile of a shower developing under thunderstorm conditions where the atmospheric electric fields greatly alter the orientation of the transverse current in the shower front.
Accepted for publication in Phys. Rev. D
References in corpus (12)
- A Macroscopic Description of Coherent Geo-Magnetic Radiation from Cosmic Ray Air Showers
- A method for high precision reconstruction of air shower Xmax using two-dimensional radio intensity profiles
- Macroscopic Treatment of Radio Emission from Cosmic Ray Air Showers based on Shower Simulations
- Analytic calculation of radio emission from parameterized extensive air showers, a tool to extract shower parameters
- Direction identification in radio images of cosmic-ray air showers detected with LOPES and KASCADE
- Time resolved 3Dinterferometric imaging of a section of a negative leader with LOFAR
- Radio Measurements of the Depth of Air-Shower Maximum at the Pierre Auger Observatory
- Demonstrating Agreement between Radio and Fluorescence Measurements of the Depth of Maximum of Extensive Air Showers at the Pierre Auger Observatory
- Final results of the LOPES radio interferometer for cosmic-ray air showers
- Adaptive Weighting in Radio Interferometric Imaging
- Determining Atmospheric Electric Fields using MGMR3D
- Reconstructing Air Shower Parameters with MGMR3D