I suspect you may have most , if not all of these references.
A paper by well respected physicist Dr Krall may be a good starting point:
http://www.askmar.com/Fusion_files/Form ... aining.pdf
Other papers from the Askmar site may also be useful. Some Physics Considerations of the Polywell may bear revisiting.
Some other sources, if you can find them, may be useful directly or via their bibliographies.
Convergence, electrostatic potential, and density measurements
in a spherically convergent ion focus
T. A. Thorson,a) R. D. Durst, R. J. Fonck, and L. P. Wainwright
University of Wisconsin—Madison, 1500 Engineering Drive, Madison, Wisconsin 53706
~Received 18 June 1996; accepted 11 October 1996!
"Unique measurements of the basic plasma-flow characteristics in a low pressure ~<53 mPa H2!
spherically convergent ion focus are obtained using high-voltage ~<5 kV! emissive and double
probes. The radial plasma potential distribution agrees with a collisionless, recirculating,
space-charge-limited current model. Flow convergence increases with voltage and neutral pressure
and decreases with cathode grid wire spacing and current. Core radii within 4–5 times the ideal
geometric limit are measured, and the observed core sizes are consistent with predictions from a
multipass orbit model which includes asymmetries in the accelerating potential well. A virtual
anode is observed in the converged core region, and no evidence for multiple potential well
structures in the core is found. Measurements of the core ion density ~nic;1015 m23! are consistent
with simple flow convergence models."
© 1997 American Institute of Physics.
@S1070-664X~97!02701-8#
Review Article: Magnetic Electrostatic
Plasma Confinement
By Thomas James Dolan, Idaho National Engineering Laboratory, EG&G Idaho,
PO Box 1625, Idaho Falls, ID 83415-3880, USA
Potential Well Structure
Associated with the
Periodically Oscillating
Plasma Sphere (POPS)
Michael David Sekora
Some of the Japanese papers or presentations at the Joint US- Japanese Workshops may be useful. I am thinking that the 2011 workshop my have several presentations on potential well shapes and developement in IEC devices.
Measurements of strongly localized potential well proles
in an inertial electrostatic fusion neutron source
K. Yoshikawaa, K. Takiyamab, T. Koyamaa, K. Taruyaa,
K. Masudaa, Y. Yamamotoa, T. Tokua, T. Kiia, H. Hashimotoa,
N. Inouea, M. Ohnishic, H. Horiiked
a Institute of Advanced Energy, Kyoto University, Uji, Kyoto
b Hiroshima University, Higashi, Hiroshima
c Kansai University, Suita, Osaka
d Osaka University, Suita, Osaka
Japan
Abstract." Direct measurements of localized electric elds have been made by the laser induced
fluorescence (LIF) method using the Stark e
ect in the central cathode core region of an inertial
electrostatic connement fusion (IECF) neutron (proton) source. These are expected to have various
applications, such as luggage security inspection, non-destructive testing, land mine detection and
positron emitter production for cancer detection, currently producing continuously about 107 n/s D{
D neutrons. Since 1967, when the rst fusion reaction was successfully proved to have taken place
in a very compact IECF device, potential well formation due to the space charge associated with
spherically converging ion beams has been a central key issue remaining to be claried in beam{
beam collision fusion, which is the major mechanism of the IECF neutron source. Many experiments,
although indirect, have been done so far to clarify the nature of the potential well, but none of them
has produced denitive evidence. The results found by the present LIF method show a double well
potential prole with a slight dip for ion beams with relatively larger angular momenta, whereas for ions with smaller angular momenta, a much steeper potential peak develops."
Dan Tibbets