Two-dimensional Green`s function Poisson solution appropriate for cylindrical-symmetry simulations

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Description

This report describes the numerical procedure used to implement the Green`s function method for solving the Poisson equation in two-dimensional (r,z) cylindrical coordinates. The procedure can determine the solution to a problem with any or all of the applied voltage boundary conditions, dielectric media, floating (insulated) conducting media, dielectric surface charging, and volumetric space charge. The numerical solution is reasonably fast, and the dimension of the linear problem to be solved is that of the number of elements needed to represent the surfaces, not the whole computational volume. The method of solution is useful in the simulation of plasma particle ... continued below

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53 p.

Creation Information

Riley, M.E. April 1, 1998.

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This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 12 times . More information about this report can be viewed below.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

This report describes the numerical procedure used to implement the Green`s function method for solving the Poisson equation in two-dimensional (r,z) cylindrical coordinates. The procedure can determine the solution to a problem with any or all of the applied voltage boundary conditions, dielectric media, floating (insulated) conducting media, dielectric surface charging, and volumetric space charge. The numerical solution is reasonably fast, and the dimension of the linear problem to be solved is that of the number of elements needed to represent the surfaces, not the whole computational volume. The method of solution is useful in the simulation of plasma particle motion in the vicinity of complex surface structures as found in microelectronics plasma processing applications. This report is a stand-alone supplement to the previous Sandia Technical Report SAND98-0537 presenting the two-dimensional Cartesian Poisson solver.

Physical Description

53 p.

Notes

OSTI as DE99000465

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  • Other Information: PBD: Apr 1998

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  • Other: DE99000465
  • Report No.: SAND--98-0755
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/674827 | External Link
  • Office of Scientific & Technical Information Report Number: 674827
  • Archival Resource Key: ark:/67531/metadc712033

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Creation Date

  • April 1, 1998

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  • Sept. 12, 2015, 6:31 a.m.

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  • April 14, 2016, 7:12 p.m.

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Riley, M.E. Two-dimensional Green`s function Poisson solution appropriate for cylindrical-symmetry simulations, report, April 1, 1998; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc712033/: accessed September 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.