Electron Demagnetization in a Magnetically Expanding Plasma
Justin M. Little
Space Propulsion and Advanced Concepts Engineering (SPACE) Laboratory,
University of Washington, Seattle, Washington 98015, USA
Edgar Y. Choueiri
Electric Propulsion and Plasma Dynamics Laboratory (EPPDyL), Princeton University,
Princeton, New Jersey 08544, USA
(Received 25 April 2019; revised manuscript received 13 August 2019; published 2 October 2019)
Electron demagnetization in a magnetically expanding plasma, a fundamental process for plasma flow
and detachment in magnetic nozzles, is experimentally investigated using a rf plasma source and magnetic
nozzle (MN). Measurements of the plasma potential spatial profile reveal an ion-confining potential
surface, indicative of the edge of a magnetized plasma, that extends along the outermost magnetic flux
surface. The downstream extent of the potential surface scales inversely with a characteristic electron
Larmor radius, which agrees with an existing theory [E. Ahedo and M. Merino, Phys. Plasmas 19, 083501
(2012)] for electron demagnetization via finite electron Larmor radius (FELR) effects. These results
represent the first experimental evidence of FELR demagnetization, and provide an empirical metric for the
significance of FELR effects based on the degree of separation between electron and magnetic flux
surfaces. With this metric, a critical magnetic field strength is found that ensures electrons remain
magnetized through the MN turning point, thus avoiding the rapid plume divergence associated with
premature demagnetization.
DOI: 10.1103/PhysRevLett.123.145001
Plasma flow along an expanding magnetic field, in
addition to being a naturally occurring phenomenon in
the solar wind [1] and astrophysical jets [2], also plays
a significant role in plasma processing [3] and propul-
sion technologies [4–6]. The nature by which the plasma
flow decouples (i.e., detaches) from the magnetic field is
fundamentally important as it marks the transition between
magnetized and unmagnetized flow regimes, thus impac-
ting a variety of critical physics such as mass and energy
transport [7], instability growth [8], and wave propagation
[9]. Detachment is especially important for space electric
propulsion concepts that utilize magnetic nozzles (MNs)
[10] because plasma propellant returning along the mag-
netic field degrades performance and represents a hazard to
sensitive spacecraft components.
Theories for MN plasma detachment have been proposed
based on a variety of physical processes, including colli-
sions [11,12], instabilities [13,14], finite Larmor radius
effects [15,16], and magnetic field perturbations [17,18].
Experiments have shown that the ion streamlines and
plasma density profile diverge less than the downstream
magnetic field [13,19–21], in agreement with theoretical
models [22]. Despite its importance, experimental inves-
tigation into electron demagnetization in the downstream
region is notably absent from the literature. In this Letter,
we experimentally examine electron dynamics in a MN
using measurements of the plasma potential profile, and use
the resulting insight to answer the question: what is the
cause and consequence of electron demagnetization in a
magnetically expanding plasma?
Experiments were performed using an 18.5 cm long,
7.5 cm diameter rf plasma source (PS) mounted inside a
7.6 m long, 2.4 m diameter dielectric vacuum chamber
(Fig. 1). The MN consisted of two electromagnetic coils
(r
c
¼ 7.51 cm) positioned near the exit of the PS. The field
strength at the center of the MN, B
0
, was controlled with
the coil current, I
B
, such that B
0
½G ≈ 21I
B
½A. Data were
obtained at a fixed rf frequency, delivered power, argon
z0
ts
(a) (b)
FIG. 1. (a) Schematic of the plasma source, electromagnets,
magnetic field lines (dashed), intersecting magnetic field line
(dashed bold), probe range (shaded), and measurement arcs
(solid arcs). (b) Photograph of the operating plasma source
(P ¼ 500 W, _ m ¼ 2 mg=s) and magnetic nozzle (I
B
¼ 20 A).
PHYSICAL REVIEW LETTERS 123, 145001 (2019)
0031-9007=19=123(14)=145001(5) 145001-1 © 2019 American Physical Society