Improved modeling of the electric field induced Lyman- <i>α</i> emission diagnostic for analyzing the Lyman- <i>α</i> signal emitted in the presence of electric and magnetic fields

Electric-Field-Induced Lyman-α Emission is a promising technique to measure the electric field strength in a plasma. It relies on a beam of metastable hydrogen atoms and the subsequent emission of Lyman-α radiation when atoms are quenched by the electric field. We present a four-level population kinetics model that accounts for both Stark and Zeeman effects, extending previous approaches limited to purely electric fields. The model is employed to predict the Lyman-α emission from a 500 eV hydrogen beam moving through a known configuration of electric and magnetic fields. An excellent agreement is found between the calculated and experimentally measured signals.