Electron Radiated Power in Cyclotron Radiation Emission Spectroscopy Experiments

Abstract

The recently developed technique of Cyclotron Radiation Emission Spectroscopy (CRES) uses frequency information from the cyclotron motion of an electron in a magnetic bottle to infer its kinetic energy. Here we derive the expected radio frequency signal from an electron in a waveguide CRES apparatus from first principles. We demonstrate that the frequency-domain signal is rich in information about the electron's kinematic parameters, and extract a set of measurables that in a suitably designed system are sufficient for disentangling the electron's kinetic energy from the rest of its kinematic features. This lays the groundwork for high-resolution energy measurements in future CRES experiments, such as the Project 8 neutrino mass measurement.

arXiv comment15 pages, 10 figures

References in corpus (6)

• New Measurement of the Electron Magnetic Moment and the Fine Structure Constant
• Neutrino mass limit from tritium beta decay
• Determining the neutrino mass with Cyclotron Radiation Emission Spectroscopy - Project 8
• Single electron detection and spectroscopy via relativistic cyclotron radiation
• Nab: Measurement Principles, Apparatus and Uncertainties
• First direct constraints on Fierz interference in free neutron $\beta$ decay

Cited by in corpus (8)

• Direct Measurements of Neutrino Mass
• Cyclotron Radiation Emission Spectroscopy of Electrons from Tritium Beta Decay and ${}^{83\mathrm{m}}$Kr Internal Conversion
• Cyclotron Radiation Emission Spectroscopy Signal Classification with Machine Learning in Project 8
• Determining Absolute Neutrino Mass using Quantum Technologies
• Locust: C++ software for simulation of RF detection
• Deep Learning Based Event Reconstruction for Cyclotron Radiation Emission Spectroscopy
• Viterbi Decoding of CRES Signals in Project 8
• Real-time Signal Detection for Cyclotron Radiation Emission Spectroscopy Measurements using Antenna Arrays