Résumé
This paper presents an improvement of the calculation of the magnetic field components created by tiles radially magnetized. Both magnetic pole volume and surface densities are taken into account to calculate the magnetic field inside and outside a radially magnetized tile. Consequently, we have obtained an accurate 3D magnetic field as no simplifying assumptions have been used for calculating these three magnetic components. In addition, we demonstrate that the azimuthal component of the field can be determined without any special functions. Such an expression is useful for optimization purposes as its computational cost is very low. Besides, all the other expressions obtained are based on elliptic functions or special functions whose numerical calculation is fast and robust and this allows us to realize easily parametric studies. Eventually, we apply this formulation to the calculation and the optimization of alternate magnetization magnet devices. By using the superposition theorem, the total field is calculated by summing the contribution to the field of each tile magnet in any point of the space. This approach is a good alternative to a finite element method because the calculation of the magnetic field is done without any simplifying assumption.