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- Article name
- Efficiency of numerical algorithms for solving particle motion equations in the formation systems of helical electron beams
- Authors
- Manuilov V. N., , manuilov@rf.unn.ru, Nizhny Novgorod State University, 23 Gagarin av., Nizhny Novgorod, 603950, Russia
Yusupov E. T., , , Nizhny Novgorod State University, 23 Gagarin av., Nizhny Novgorod, 603950, Russia
- Keywords
- gyrotron / crossed electric and magnetic fields / numerical methods to solve the particle motion equations
- Year
- 2012 Issue 5 Pages 72 - 76
- Code EDN
- Code DOI
- Abstract
- The comparison of the accuracy provided by different numerical algorithms for solving the electron motion equations is performed. The typical for the gyrotron helical electron beams with high pitch-factor case, when particles perform hundreds or thousands turns and at the same time it is necessary to find the phase of the oscillatory motion with high accuracy about 0.1 %, is considered. Such well known methods as Boris method, Adams-Bashford one and different versions of Runge-Kutta method of 4, 5 and 7-th orders are considered. It is shown that for the case when the time interval of particle motion exceeds some hundreds of cyclotron period, the most preferable approach is the so-called 4-th order Runge-Kutta method with the "rule 3/8", which provides the mentioned above accuracy even when the number of steps on the cyclotron period is 15-20 only.
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