Nonlinearity in the effect of an inhomogeneous Hall angle

The differential equation for the electric potential in a conducting material with an inhomogeneous Hall angle is extended to the large-field limit. This equation is solved for a square specimen, using a successive over-relaxation [SOR] technique for matrices of up to 101x101 size, and the Hall weighting function $--$ the effect of local pointlike perturbations on the measured Hall angle -- is calculated as both the unperturbed Hall angle, $\tan \Theta _H $, and the perturbation, $\delta \tan \Theta _H $, exceed the linear, small angle limit. Preliminary results show that the Hall angle varies by no more than 5{\%} if both $\left| {\tan \Theta _H } \right|<1$ and $\left| {\delta \tan \Theta _H } \right|<1$. Thus, previously calculated results for the Hall weighting function can be used for most materials in all but the most extreme magnetic fields.