Quantitative magnetospheric magnetic field modelling with toroidal and poloidal vector fields

Quantitative models of the magnetospheric magnetic field: Methods and results

“…Another example of models of this kind is the one proposed by Kosik (1984), in which the field distribution is represented by the sum of toroidal and poloidal terms…”

“…Kosik (1984) gave two examples of specific magnetic field models: an axisymmetric one simulating the effect of a ring current and a more sophisticated model taking into account the noon-midnight asymmetry. Kosik (1984) gave two examples of specific magnetic field models: an axisymmetric one simulating the effect of a ring current and a more sophisticated model taking into account the noon-midnight asymmetry.…”

Optical Transition of Eu3+Ions in YMg2Al3B6O17

“…fluxes in the different geometries and will permit to extend the 4a 1 0 This model is particularly suited for the study of particle results already obtained [4]. In this sense, we consider it as an improvement of the "ad-hoc'' models of Pellinen et al [SI and Stern [6].…”

Quantitative magnetic field model including magnetospheric ring current

“…Stern [ 1976] suggested the use of poloidal and toroidal vector fields for modeling the magnetic field in regions where currents flow. These vector fields satisfy automatically the divergence-free condition, and some more recent studies have been made [Kosik, 1984;Backus, 1986;Wolf-Gladrow, 1987] which use this technique. In this work we have tried to develop as simple a model as possible which could represent the ring current region.…”

“…magnetic fields, and, conversely, toroidal currents generate poloidal magnetic fields. Our previous model [Kosik, 1984] which used toroidal vector fields to describe the magnetopause region, thus generated unphysical field-aligned currents throughout the magnetosphere. As a consequence, we will restrict our model to the ring current region and will consider only the poloidal term (i.e., the term containing XI•2).…”