Abstract
We develop a general formalism to study the reflection of radio waves, generated by ultra high energy cosmic ray events, from the Antarctic ice surface. Our formalism is based on plane wave decomposition of spherical waves and is applicable to the observations made by the ANITA detector. We find that our numerical result shows good agreement with the calibration data obtained by the High-Altitude Calibration (HiCal) experiment. ce features such as the local sastrugi. We incorporate these roughness models to investigate whether the non-uniform surface roughness of Antarctica can explain these anomalous events.
Similar content being viewed by others
REFERENCES
P. W. Gorham, J. Nam, A. Romero-Wolf, S. Hoover, et al. (ANITA collaboration), “Characteristics of Four Upward-Pointing Cosmic-Ray-like Events Observed with ANITA,” Phys. Rev. Lett. 117, 071101 (2016) . https://doi.org/10.1103/PhysRevLett.117.071101
J. F. Cherry and I. M. Shoemaker, “A Sterile Neutrino Origin for the Upward Directed Cosmic Ray Showers Detected by ANITA,” Phys. Rev. D 99, 063016 (2019). arXiv 1802.01611.
S. Prohira, A. Novikov, P. Dasgupta, P. Jain, et al. (ANITA Collaboration), “Antarctic Surface Reflectivity Calculations and Measurements from the ANITA-4 and HiCal-2 Experiments, Phys. Rev. D 98, 042004 (2018). https://doi.org/10.1103/PhysRevD.98.042004
P. Dasgupta and P. Jain, “General Treatment of Reflection of Spherical Electromagnetic Waves from a Spherical Surface and its Implications for the ANITA Anomalous Polarity Events,” Astropart. Phys. 128, 102530 (2021).
J. A. Stratton, Electromagnetic Theory, International Series in Pure and Applied Physics (McGraw-Hill, New York, 1941). https://cds.cern.ch/record/105763
P. W. Gorham P. Allison, O. Banerjee, L. Batten, et al., “The HiCal 2 Instrument: Calibration and Antarctic Surface Reflectivity Measurement for the ANITA Experiment,” arXiv 1710.11175; https://doi.org/10.1016/j.nima.2018.11.092
ACKNOWLEDGMENTS
We thank Prof. David Besson for valuable discussions. P. Dasgupta would like to thank Prof. David Besson and NASA for funding her visit to the Moscow International School of Physics 2020 (MISP 2020). P. Dasgupta would like to thank the committee members of MISP 2020 for giving her the opportunity to present her work.
Funding
This work was supported by the Science and Engineering Research Board, grant no. EMR/2016/004070 and the Scheme for Promotion of Academic and Research Collaboration, grant no. P250, Government of India.
Author information
Authors and Affiliations
Corresponding authors
About this article
Cite this article
Dasgupta, P., Jain, P. General Treatment of Reflection of Spherical Electromagnetic Waves from Spherical, Uneven Antarctic Surface and Its Implications for the Mystery Events Detected by ANITA. Bull. Lebedev Phys. Inst. 48, 59–62 (2021). https://doi.org/10.3103/S1068335621020020
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068335621020020