Design of a dynamically orthogonalized Penning trap with higher order anharmonicity compensation

We present an analysis of a doubly compensated, open ended, cylindrical Penning ion trap including the effect of realistic gaps between adjacent electrodes. This work is a generalization of the work of X. Fei, W.M. Snow, Nuclear Instruments and Methods A 425(1999) 431. By varying the lengths of the electrodes, we have been able to make the trap dynamically orthogonalized and tune out higher order anharmonicities up to C8C8 term over a wide range of inner radii of the cylindrical trap and gap lengths between adjacent electrodes. This work should help to generate a higher quality quadrupolar potential near the center of the cylindrical trap and be useful for studies involving high precision measurements of the trapped particles.