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Computational methods for the HZETRN code.

J Tweed1, S A Walker, J W Wilson

  • 1Department of Mathematics, Old Dominion University, Norfolk, VA 23529, USA. jtweed@odu.edu

Advances in Space Research : the Official Journal of the Committee on Space Research (COSPAR)
|June 7, 2005
PubMed
Summary
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Asymptotic expansion simplifies ion transport by using Neumann series. This method accurately calculates energy loss and fragmentation, enabling approximations for high-energy ion transport in various applications.

Area of Science:

  • Physics
  • Computational Physics
  • Particle Physics

Background:

  • Asymptotic expansion is a key technique for simplifying complex transport problems.
  • Understanding high charge and energy ion transport is crucial for laboratory and space applications.

Purpose of the Study:

  • To simplify the transport of high charge and energy ions using asymptotic expansion.
  • To develop a rapidly converging Neumann series for accurate ion transport calculations.

Main Methods:

  • The study employs asymptotic expansion to derive the lowest order term.
  • A Green's function approach couples energy loss, straggling, and nuclear attenuation.
  • Neumann corrections are evaluated numerically for analytic approximation.
Keywords:
NASA Center JSCNASA Center LaRCNASA Discipline Radiation Health

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Main Results:

  • The lowest order term relates to energy loss and nuclear attenuation.
  • First and second Neumann corrections were numerically evaluated.
  • Simplifications were achieved for higher-order corrections using saddle point approximations.

Conclusions:

  • The Neumann series provides a robust method for high-energy ion transport.
  • Approximations are feasible for higher-order corrections, especially at high energies.
  • This method facilitates accurate evaluation of the full Neumann series for ion transport.