We present a study of the nonlinear dynamics of charged microparticles in a linear electrodynamic trap at normal pressure and temperature. In this work, will be considered a mathematical modeling of the nonlinear dynamics of a microparticle under viscous friction conditions, as well as experimental confirmation of theoretical results. Based on theoretical and experimental findings, we propose an innovative method for determining charge, mass and size of a certain microparticle localized in the linear electrodynamic trap.

We consider a simple model of charged microparticles trapped in an electrodynamic field and interacting according to Coulomb forces. We reveal a bifurcation of the stable equilibrium point depending on the system parameters. Mathematical modelling of charged particles localization in a linear electrodynamic trap was implemented and effective potential splitting was demonstrated. The obtained splitting of Coulomb crystal corresponds to the experimental results.

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In the present article, we discuss an electrostatic field around four-bar trap, where in-phase AC voltage is applied to all electrodes. We consider shielding effect on trap’s field distribution. The ideal octupole field is obtained using a cylindrical grounded surface. Single-phase trap gives an opportunity to form an n-order multipole field within n + 1 number of electrodes. This approach reduces the number of electrodes in comparison with the classical case.

We propose a double-well linear Paul trap for particle’s spatial selection according to the charge-to-mass ratio. To perform spatial selection we implemented an experimental setup that permits to detect particles’ positions in the double-well trap from three different view-points: top, front left, and front right. The setup gives an opportunity to monitor the particles’ axial density distribution in real-time. We have shown a strong correlation between axial position of separated localization areas and the DC voltages applied to the rod and end-cap electrodes. We have experimentally determined the critical localization parameters where double-well mode acquires for all the trapped charged microparticles. According to the experimental data and a numerical simulation a upper value of charge-to-mass ratio of the trapped microparticles was estimated.