High-order space charge effects using automatic differentiation
- Northrop Grumman Corporation, Advanced Technology and Development Center, 4 Independence Way, Princeton New Jersey 08540 (United States)
The Northrop Grumman Topkark code has been upgraded to Fortran 90, making use of operator overloading, so the same code can be used to either track an array of particles or construct a Taylor map representation of the accelerator lattice. We review beam optics and beam dynamics simulations conducted with TOPKARK in the past and we present a new method for modeling space charge forces to high-order with automatic differentiation. This method generates an accurate, high-order, 6-D Taylor map of the phase space variable trajectories for a bunched, high-current beam. The spatial distribution is modeled as the product of a Taylor Series times a Gaussian. The variables in the argument of the Gaussian are normalized to the respective second moments of the distribution. This form allows for accurate representation of a wide range of realistic distributions, including any asymmetries, and allows for rapid calculation of the space charge fields with free space boundary conditions. An example problem is presented to illustrate our approach.
- OSTI ID:
- 21165554
- Journal Information:
- AIP Conference Proceedings, Vol. 391, Issue 1; Conference: 1996 computational accelerator physics conference, Williamsburg, VA (United States), 24-27 Sep 1996; Other Information: DOI: 10.1063/1.52340; (c) 1997 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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