Abstract
In this study we investigate the possibility to trap an ion particle in a non-uniform electrostatic field generated by two ionic rings with the aim to obtain and verify general results regarding our proposition. To develop the equation of motion we first derive the electric field generated by each ring based on the multipole expansion technique under the azimuthally symmetrical charge distribution speculation and superposition principle. Then we establish the equation of motion regarding the Lagrangian formalism. From the results we observe that an ion particle can exhibit harmonic motion if the stability condition is satisfied by an appropriate parametric setting. The results are confirmed by displacement responses and phase trajectory plots which validate our belief in the prospect to trap an ion in an electrostatic field. Furthermore the velocity amplitude is significantly influenced by both the charge concentration of each ring and its size. ? Copyright The Korean Institute of Electromagnetic Engineering and Science.
