Modeling Transmitting Antennas to Simulate Phase-III of the Project 8 Experiment

Project 8 is an experiment designed to measure the mass of the electron neutrino using cyclotron radiation emission spectroscopy~(CRES). Using the cyclotron frequency as a proxy for kinetic energy, the experiment aims to observe the end point of the electron spectrum of tritium beta-decay in an effort to reach neutrino mass sensitivity of 40 meV/c$^2$. Following the successful demonstration of CRES with a waveguide in Phase I and II, the Phase III of Project 8 will utilize a larger experimental volume instrumented with a phased array of antennas. Room temperature lab measurements using antennas for both transmission and reception can be used to test the Phase III design and make a comparison with numerical predictions using the Locust simulation software. We discuss the simulation work on modeling the transmission and detection using antenna of radiation near 26 Ghz for the successful reconstruction of the beta decay electron kinematics in Phase III.