Validation of transfer map calculation for electrostatic deflectors in the code COSY INFINITY
The code COSY INFINITY uses a beamline coordinate system with a Frenet–Serret frame relative to the reference particle, and calculates differential algebra-valued transfer maps by integrating the ODEs of motion in the respective vector space over a differential algebra (DA). In our work, we described and performed computation of the DA transfer map of an electrostatic spherical deflector in a laboratory coordinate system using two conventional methods: (1) by integrating the ODEs of motion using a numerical integrator and (2) by computing analytically and in closed form the properties of the respective elliptical orbits from Kepler theory. We compared the resulting transfer maps with (3) the DA transfer map of COSY INFINITY’s built-in electrostatic spherical deflector element ESP and (4) the transfer map of the electrostatic spherical deflector computed using the program GIOS, which uses analytic formulas from a paper1 by Hermann Wollnik regarding second-order aberrations. In addition to the electrostatic spherical deflector, we studied an electrostatic cylindrical deflector, where the Kepler theory is not applicable. We computed the DA transfer map by the ODE integration method (1), and we compared it with the transfer maps by (3) COSY INFINITY’s built-in electrostatic cylindrical deflector element ECL and (4) GIOS. The transfer maps of electrostatic spherical and cylindrical deflectors obtained using the direct calculation methods (1) and (2) are in excellent agreement with those computed using (3) COSY INFINITY. On the other hand, we found a significant discrepancy with (4) the program GIOS.
- Research Organization:
- Michigan State Univ., East Lansing, MI (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Grant/Contract Number:
- SC0018636; FG02-08ER41546
- OSTI ID:
- 1661662
- Journal Information:
- International Journal of Modern Physics A, Vol. 34, Issue 36; ISSN 0217-751X
- Publisher:
- World ScientificCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Plans for performance and model improvements in the LISE++ software
|
journal | June 2016 |
Second order approximation of the three-dimensional trajectories of charged particles in deflecting electrostatic and magnetic fields
|
journal | April 1965 |
GIOS-BEAMTRACE — A program package to determine optical properties of intense ion beams
|
journal | August 1987 |
COSY INFINITY Version 9
|
journal | March 2006 |
Relations between elements of transfer matrices due to the condition of symplecticity
|
journal | July 1985 |
Similar Records
Analysis and fringe field scaling of a legacy set of electrostatic deflector aberration formulas [Chapter Seven]
Computation and consequences of high order amplitude- and parameter-dependent tune shifts in storage rings for high precision measurements