Electric field in two-dimensional complex plasma crystal: Ideal lattices

Abstract

Two-dimensional complex plasma crystal is a suspended single-layer of micron-size grains in a plasma. The narrow and long two-row crystals are likely to be used as electrostatic wigglers. Therefore, electric properties of such system is studied in the present work. The frequency of longitudinal electric field is twice the frequency of transverse electric field. In two-row crystals, far from the crystal center, both longitudinal and transverse electric fields decrease continuously. Frequency of longitudinal field decreases also, but the frequency of transverse field is fix. By increasing distance between the crystal rows, the frequency of transverse field does not change but the frequency of longitudinal field decreases. Value of both fields decrease while their ratio increases. By increasing longitudinal distance between the grains, the frequency of transverse field does not change but the frequency of longitudinal field increases until become twice the frequency of transverse field, and both electric fields increase while their ratio decreases. These results may be useful in various fields of physics.