Optically, unit sphere ${\mathbb{S}}^2$ is illustrated to be a 2-sphere in space with positive curvature. In this paper, we construct a new characterization for spherical electric and magnetic flow density of spherical $\mathbb{S}\mathbf{s}-magnetic$ flows of particles by the spherical frame in ${\mathbb{S}}^2$ spherical space. Thus, we get some new optical conditions of spherical $\mathbb{S}\mathbf{s}-magnetic$ electric and magnetic phase by using spherical magnetic fields. We determine spherical magnetic Lorentz flux for spherical vector fields. The results obtained show that q -HATM supplies an elementary algorithm to gain the approximated analytical solution. Finally, electric and magnetic phases of spherical surface are shown in uniform magnetic surfaces by using the analytical and fractional numerical results of the q-HATM algorithm.

光学上，单位球体 ${\mathbb{秒}}^2$图示为空间中具有正曲率的 2 球体。在本文中，我们构建了一个新的球形电和磁流密度表征。$\mathbb{秒}\mathbf{秒}-米\mathrm{一种}Gn\mathrm{电子}吨\mathrm{一世}C$ 球体框架中的粒子流 ${\mathbb{秒}}^2$球面空间。因此，我们得到了一些新的球面光学条件$\mathbb{秒}\mathbf{秒}-米\mathrm{一种}Gn\mathrm{电子}吨\mathrm{一世}C$通过使用球形磁场来实现电和磁相。我们确定球形矢量场的球形磁洛伦兹通量。获得的结果表明，q -HATM 提供了一种基本算法来获得近似解析解。最后，通过使用q-HATM 算法的解析和分数数值结果，在均匀磁表面中显示了球面的电和磁相。