NomenclatureB b , B bias = magnitude of preexisting (vacuum) axial magnetic field B = amplitude of rf rotating magnetic field B z = axial magnetic field change due to RMF driven currents (superscript M denotes maximum) B ext = magnitude of magnetic field external (radially) to the FRC = plasma pressure normalized to external (vacuum) field C = capacitance value = classical skin depth = (2/ 0 ) 1/2 E = electric field vector (subscripts r, , z denote cylindrical components) e = unit of electron charge E k = propellant kinetic energy E k_RMF = kinetic energy derived from electromagnetic input E k_th = kinetic energy derived from conversion of plasma thermal energy E ion = ionization energy E = energy input from Ohmic heating = Hall scaling parameter F = force vector (subscripts r, , z denote cylindrical components) FRC = field reversed configuration = magnetic flux I = current (subscripts r, , z denote cylindrical components) Isp = propellant specific impulse j = current density (subscripts r, , z denote cylindrical components) k = Boltzmann's constant = plasma resistivity e = thruster efficiency = ratio of plasma radius to classical skin depth 0 = magnetic permeability in vacuum m = electron mass ei = electron-ion collision frequency n = plasma density n e = electron density N = electron line density p = plasma pressure = azimuthal cylindrical coordinate Q = circuit quality factor r = radial cylindrical coordinate r p = plasma radius r s = magnetic separatrix radius 1 AIAA Senior Member 2 AIAA Member 3 AIAA Member 2 Figure 1. ELF thruster operating on water vapor.
RMF= rotating magnetic field T = plasma temperature T e = electron temperature = RMF pulse length = angular frequency of RMF ce = electron angular frequency in rotating field ci = ion angular frequency in rotating field z = axial cylindrical coordinate