Theoretical study of two-dimensional charge densities in intense rectangular ion beams.

Persistent Link:
http://hdl.handle.net/10150/185939
Title:
Theoretical study of two-dimensional charge densities in intense rectangular ion beams.
Author:
Brown, Douglas Andrew.
Issue Date:
1992
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
Beginning with its emergence from a high-aspect ratio rectangular aperture, the physics of an intense (current density ≳ 1 mA/cm²), positively charged ion beam is explored in two distinct regions: an electron-free drift region, and a beam plasma containing a large density of space-charge neutralizing electrons. In the drift region, the beam expands due to the mutual inter-ion Coulomb repulsion. Energy, mass, and phase-space density conservation are combined with Poisson's equation to obtain the beam ion density and resulting potential of the diverging beam at any point in 3-dimensional space. Within the beam plasma, the divergence rate is assumed negligible and the beam ion density at the drift/plasma interface taken to be the beam ion density throughout the beam plasma. It is assumed that collisions between beam ions and residual gas molecules, producing a steady generation of electrons and slow residual gas ions, is the dominant mechanism sustaining the beam plasma. Charge is conserved and the energy balance of the plasma examined to obtain the electron and slow-ion densities. Electron, slow-ion, and beam ion densities are then introduced into Poisson's equation to produce a second order partial integro-differential equation requiring a numerical solution. This solution is obtained by expanding the density and potential functions in a complete set of orthogonal (Chebyshev) functions and reducing the differential equation to a system of linear algebraic equations. Calculations in the drift region, for beams of 50, 100 and 500 keV, indicate that all intense beams, regardless of the initial aspect ratio, ultimately relax into the same, near Gaussian profile. In the beam plasma, the theory was applied to a 100 keV, high aspect ratio arsenic beam. The electron density profile is predicted to display a shape similar to that of the beam ions, with the resulting net potential possessing substantial cylindrical symmetry. Both the slow-ion and electron densities and hence the degree of space-charge neutralization, are found to depend strongly on the residual gas density.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Dissertations, Academic.; Ion bombardment.; Physics.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Electrical and Computer Engineering; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
O'Hanlon, John F.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleTheoretical study of two-dimensional charge densities in intense rectangular ion beams.en_US
dc.creatorBrown, Douglas Andrew.en_US
dc.contributor.authorBrown, Douglas Andrew.en_US
dc.date.issued1992en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractBeginning with its emergence from a high-aspect ratio rectangular aperture, the physics of an intense (current density ≳ 1 mA/cm²), positively charged ion beam is explored in two distinct regions: an electron-free drift region, and a beam plasma containing a large density of space-charge neutralizing electrons. In the drift region, the beam expands due to the mutual inter-ion Coulomb repulsion. Energy, mass, and phase-space density conservation are combined with Poisson's equation to obtain the beam ion density and resulting potential of the diverging beam at any point in 3-dimensional space. Within the beam plasma, the divergence rate is assumed negligible and the beam ion density at the drift/plasma interface taken to be the beam ion density throughout the beam plasma. It is assumed that collisions between beam ions and residual gas molecules, producing a steady generation of electrons and slow residual gas ions, is the dominant mechanism sustaining the beam plasma. Charge is conserved and the energy balance of the plasma examined to obtain the electron and slow-ion densities. Electron, slow-ion, and beam ion densities are then introduced into Poisson's equation to produce a second order partial integro-differential equation requiring a numerical solution. This solution is obtained by expanding the density and potential functions in a complete set of orthogonal (Chebyshev) functions and reducing the differential equation to a system of linear algebraic equations. Calculations in the drift region, for beams of 50, 100 and 500 keV, indicate that all intense beams, regardless of the initial aspect ratio, ultimately relax into the same, near Gaussian profile. In the beam plasma, the theory was applied to a 100 keV, high aspect ratio arsenic beam. The electron density profile is predicted to display a shape similar to that of the beam ions, with the resulting net potential possessing substantial cylindrical symmetry. Both the slow-ion and electron densities and hence the degree of space-charge neutralization, are found to depend strongly on the residual gas density.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectDissertations, Academic.en_US
dc.subjectIon bombardment.en_US
dc.subjectPhysics.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineElectrical and Computer Engineeringen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairO'Hanlon, John F.en_US
dc.contributor.committeememberBeck, Scotten_US
dc.contributor.committeememberPalusinski, Olgierd A.en_US
dc.contributor.committeememberLeavitt, J. A.en_US
dc.contributor.committeememberMcIntyre, L.en_US
dc.identifier.proquest9303283en_US
dc.identifier.oclc713083677en_US
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