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| September '01 Issue |
LBNL-PUB-844-01-09
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mbronte
08/01/2001 |
Nonlinear Charge and Current Neutralization for an Intense Ion Beam Pulse in a Background Plasma* We have developed an analytic theory that predicts the degree of charge and current neutralization for a high-current finite-length ion beam propagating through a chamber filled with plasma of arbitrary density. The electric and magnetic fields generated by the ion beam are studied analytically for the nonlinear case where the plasma density approaches the beam density. Particle-in-cell simulations of current and charge neutralization agree well with the analytical results.
An important conclusion is that the charge neutralization is essentially complete,
even for very tenuous plasmas; under the assumption of nonrelativistic ion
beams, with length much greater than both the beam radius and the plasma
neutralization length. (The latter is the ratio of the beam velocity to
the electron plasma frequency.) Current neutralization is usually much weaker
than charge neutralization. Therefore, the magnetic pinching force dominates
the electric force, so the beam
ions are always pinched during quasi-steady-state beam propagation through
the background plasma. Results, to be published in Physics of Plasmas, are
shown for propagation in the y-direction, with beam length 15 c/wp; beam
radius 1.5 c/wp; beam density equal to the background plasma density; and
beam velocity c/2. Shown are electron density and the vector fields for
the current (top) and the electric field (bottom). The excitation of plasma
waves by the beam head is clearly seen. Both the current and electric field
are localized near the beam edges as predicted by theory.- Igor D. Kaganovich, and Ronald C. Davidson Pulsed quadrupole magnets developed For HIF, and other non-DC magnetic applications, pulsed
magnets offer high fields at lower cost than superconducting (SC) magnets,
and at lower energy consumption than DC resistive magnets. They are compact
and have a high degree of design
flexibility. Though not feasible for
the main magnetic transport in an IFE driver, they could prove desirable
in some sections. These might include very-short-lattice-period transport,
final focus in high neutron and radiation environments, beam steering
and corrections between
transport sections, and time dependent focusing. Five pulsed elliptical quadrupole magnet
prototypes, designed for an IRE magnetic focusing array, have been built
and tested successfully at LBNL (See picture; a design description is
at http://www-eng.lbl.gov/~shuman/HIF/THP159.pdf. One quadrupole has
been pulsed over 80k times, at full current (4.4 kA, 3.0 kV). The remaining
four have been simultaneously pulsed 10k times, at currents up to 4 kA.
These four are assembled into a flux connecting iron core that can accommodate
21 quadrupoles, forming an array. They will soon be removed and installed
into individual flux-return cores for HCX Phase I experiments. After HCX,
they will be tested to end-of-life. A set of large-bore pulsed-quadrupole
and octupole magnets are now being designed for the Neutralized Beam Transport
Experiment, NTX, and a short high field pulsed quadrupole is being designed
as an alternative to the SC quadrupoles under development for HCX Phase
II. - Derek ShumanImproved neutron shielding of 72 beams into chamber The recent trend for heavy-ion fusion has been to increase the number of beams in an effort to reduce the cost of the driver. While the number of beams has grown, currently available
target designs still require small
(<15 degrees) array angles for the incoming beams. Although older designs such
as HYLIFE-II, Osiris, and HIBALL called for ~30 cm of magnet shielding,
these designs used 12-20 beams, and thus, such thick shields were relatively
easy to accommodate. Calculations performed in 1999 suggested that reducing
the magnet bore shielding to 5 cm would increase dose rates and neutron
fluences experienced by the superconductor and insulation thereby reducing
the magnet
lifetime to <1 y. Recently, we conducted a systematic study of the various
shielding features and their importance to the overall problem. More than
a dozen features were examined. Examples include the shielding thickness,
composition, and location as well as the array angle, focusing length, beam
clearances, and three-dimensional effects. In the end, a magnet shielding
design was identified (see picture) that yielded a magnet lifetime in excess
of 30 y. One key factor that helped extend the magnet lifetime was spreading
the array to an angle of 28 degrees. Further work is needed to bring the shielding
design into compliance with target requirements. Also, superconductor activation
in the current design exceeds levels for disposal via shallow land burial.
Magnet cooling requirements will be assessed in future work.- Jeff Latkowski |