1
American Institute of Aeronautics and Astronautics
ELECTRON FIELD EMISSION AND THE SPACE CHARGE LIMIT:
TECHNIQUES AND TRADEOFFS
Dave Morris
*
and Brian Gilchrist
†
University of Michigan, Ann Arbor, MI, 48109
*
Graduate Student, Electrical Engineering and Space Systems
†
Professor, Electrical Engineering and Space Systems, AIAA Associate Fellow
ABSTRACT
Cold cathode electron emission technology
is being developed in a variety of forms for
spacecraft charge control applications,
ranging from solar panel protection to deep
space electric propulsion. Cold cathode
emission can provide significant efficiency
savings (power, weight, space, etc.) over
classic approaches (such as thermionic
emitters and plasma contactors) for many
classes of missions. However, regardless of
the technology approach (closely matched
gate-tip arrays, gridded carbon nano-tube
plates, or more exotic techniques) for
applying an electric field to a novel emitting
surface, all are constrained by the space
charge limits which apply whenever charge
moves (at a certain velocity and density)
across a gap (with a certain size and
potential). No matter how efficiently the
electrons are extracted from the emitter
material, at least enough energy must be
added to avoid the space charge limit, and
this can be a significant additional cost in
some applications.
Analytic solutions for the space charge limit
in simple geometries have been developed
up to three dimensions, but there are a
variety of factors that can be manipulated in
the design of a physical system that cannot
be practically and generically included in
such analysis. Via particle-in-cell modeling,
a number of techniques for mitigating the
space charge limit are being studied, ranging
from atypical geometries to spatial and
chronological distribution of emission.
Some results of explorations of these
techniques will be presented here.
NOMENCLATURE
FE=field emitter
SCL=space charge limit
PIC=particle-in-cell
Vgt = gate tip voltage
ε
0
: permittivity of free space
e: electron charge [C]
m
e
: electron mass [kg]
T
o
: electron emission energy [eV]
D: gap spacing [m]
V: gap voltage [V]- equal to spacecraft bias
with respect to the plasma
W: emitter width
r
b
: emitter radius
A: emitter area [m
2
]
s= sheath size [m]
J
CL
(N) = N dimensional Child-Langmuir
current limit [A/m
2
]
INTRODUCTION
There are a variety of space applications that
require electron charge emission. Any
electric propulsion thruster (Hall Thrusters,
Ion thrusters such as DS-1, etc.) requires the
simultaneous emission of electrons to
balance the emitted ion charge. Space
electrodynamic tethers generate thrust via
39th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit
20-23 July 2003, Huntsville, Alabama
AIAA 2003-4792
Copyright © 2003 by David Morris. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission.