The idea of orbital ion confinement dates back to 1923 when the orbital ion trap was proposed and implemented by Kingdon [1]. In the following several decades this principle was often used in ion spectroscopy but it was not until 1981 that Knight proposed a mass-selective orbital ion trap [2]. Similar to Kingdon trap, the ions were trapped revolving around a negatively biased wire. The ions generated by laser ionization were captured in the trap where rudimentary mass analysis was performed by means of resonance excitation of axial oscillations between two conical guarding electrodes that formed a quasiharmonic potential well. This first attempt demonstrated that the quality of mass analysis mostly depends on the trapping field accuracy, and particularly, on the isochronism of the axial oscillatory motion.The simplest axisymmetric electrostatic potential distribution with ideal isochronism in the axial direction is given by the formulawhere and k 0 are geometrical parameters and is the applied voltage. A detailed description of the ion dynamics in the quadro-logarithmic potential Eq. (1) can be found in the paper by Gall et al. [3]. The most important property of this unique potential distribution is that the motion equations are separable for the axial coordinate and the other coordinates (radius and the rotational angle ), and the axial motion is harmonic. The axial oscillation frequency in the ideal field isand thus depends on the ion's mass-to-charge ratio / but not on the oscillation amplitude and the revolving radius. It means that a bunch of identical ions, once injected into the trap, keeps oscillating as a single packet preserving the phase coherency. Having detected the oscillation frequency, one can determine the mass-to-charge ratio of the ions and construct a mass spectrum of the analyte. The other important property of the quadro-logarithmic potential is the confinement in the radial pseudopotential 176