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Kent A. Chambers PhD - SACS - Hardin-Simmons University

Kent A. Chambers PhD - SACS - Hardin-Simmons University

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Summer 1997<br />

and Summer<br />

1998<br />

June 1994<br />

to August 1996<br />

KENNETH F. STEPHENS II, PHD<br />

the presheath, a system of nonlinear equations is obtained that describes the<br />

electric potential within the sheath. The kinetic properties of the constituent<br />

particles are thus determined.<br />

Developed an approach to approximate the space-charge limited current of<br />

relativistic electron beams in finite-length coaxial drift tubes. Defined as the<br />

maximum steady-state current that can be transmitted through a certain<br />

volume, the limiting current is difficult to determine for a general geometry due<br />

to the inherent non-linearity of Poisson’s equation. Applying Green’s second<br />

theorem to the space-charge limited Poisson equation over the beam’s volume,<br />

a Sturm-Liouville eigenvalue equation can be introduced such that its boundary<br />

conditions ensure Green’s identity. The limiting current is then approximated in<br />

terms of the eigenvalue.<br />

Along with the above research, a two-dimensional particle in cell (PIC) code<br />

was developed to provide numerical comparison with the sheath and limiting<br />

current theories. It was also used to investigate the ability of virtual cathodes to<br />

simulate nested-well plasma traps. Other research interests included quantum<br />

phase space propagators, transmission properties of one-dimensional quantum<br />

structures and the electromagnetic characteristics of helical conductors.<br />

Researcher/Programmer, Air Force Research Laboratory,<br />

Kirtland Air Force Base, Albuquerque, New Mexico.<br />

Modified and tested the Air Force’s 2-½ dimensional radiative magnetohydrodynamic<br />

code, MACH2, and used it to model several devices of interest to<br />

the scientific community: explosively formed fuses and magnetized target<br />

fusion.<br />

An explosively formed fuse is a fast opening switch capable of transferring<br />

mega-joules of electrical energy within a few microseconds. The switch was<br />

simulated by allowing an electrical current to flow through a thin foil,<br />

surrounding a high-explosive. Detonating the explosive causes the foil to<br />

lengthen and thin, thereby increasing its resistance. Using a preliminary current<br />

of 1 kilo-ampere, details necessary for thoroughly modeling the device were<br />

determined.<br />

Magnetized target fusion is an approach to fusion ignition that is intermediate<br />

to inertially-confined and magnetically-confined fusion schemes. Although a<br />

magnetic field is used to inhibit thermal conduction from the plasma to the<br />

confining liner, plasma-wall mixing still poses a problem. When this mixing<br />

occurs, increased impurities in the plasma reduce the plasma temperature and<br />

prevent the plasma from reaching ignition conditions. This mixing, due to the<br />

Rayleigh-Taylor instability, was investigated by considering an imploding<br />

cylindrical liner.<br />

Teaching Assistant, <strong>University</strong> of North Texas, Denton,<br />

Texas.<br />

Taught the closed lab for calculus-based physics. Instructed students in the<br />

open physics lab for all levels of introductory physics courses. Facilitated the<br />

senior-level experimental physics lab and instructed the musical acoustics lab<br />

for music majors.<br />

2

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