E$\times$B trap emptying design and simulations for the $^6$He-CRES

The $^6$He-CRES experiment measures the cyclotron radiation of magnetically trapped beta decay electrons to precisely determine the Fierz interference parameter b.  Background and scattering effects can be better understood by emptying the trap of electrons. Currently the trap can be emptied by turning off the trapping magnetic field. However, turning the trapping field off and on can be slow and create inconsistent temperatures and field strengths. Alternatively, to achieve rapid emptying times without disturbing the trapping field, the trap can be emptied using a charged electrode. A charged electrode creates an electric field perpendicular to the magnetic field, causing electrons to drift out of the trap by E$\times$B drift. The addition of an electrode in the RF guide wall can impact RF transmission, lowering the measurements signal to noise ratio. We use the HFSS (High Frequency Signal Simulation) package to obtain RF signal properties of our electrode design and Kassiopeia to evaluate the impact on trapped electron trajectories. We will present the results of these simulations and how the current electrode is designed to meet our criteria.