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Neutrino Factory/Muon Collider Document 229-v1

A Boris-like integration scheme with spatial stepping

Document #:
Document type:
MuCool Note
Submitted by:
John Urish
Updated by:
John Urish
Document Created:
21 Nov 2001, 12:00
Contents Revised:
21 Nov 2001, 12:00
Metadata Revised:
21 Nov 2001, 12:00
Actually Revised:
14 Sep 2006, 13:35
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The Boris integration scheme, familiar in plasma simulation,
is modified to use a spatial variable as the independent variable.
This is important for beam simulations, where using the distance along the beam axis as the independent variable simplifies particle tracking through a beamline. The modified Boris scheme is second-order accurate,
requires only one force calculation per particle per step, and preserves phase space structure more accurately than a Runge-Kutta integration scheme.

This is revision #1.

A sign error in the algorithm for the spatial Boris algorithm
has been corrected (Eq. 23). Note that the implementation in ICOOL
uses the correct form.

This is a PDF document
This is revision # 2
Posted by Gregg Penn

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Notes and Changes:
P. H. Stoltz, G. Penn, J. Wurtele, and J. R. Cary
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