Author(s)

Dorel Homentcovschi^1,2, Radu Oprea³, Bruce T. Murray²

¹Department of Applied Mathematics, University Politehnica of Bucharest, Bucharest, Romania.
²Department of Mechanical Engineering, Binghamton University, Binghamton, NY, USA.
³17-1506 Eagle Mountain Dr. Coquitiam, British Columbia, Canada.

The electrical properties of magnetic sensing devices fabricated from anisotropic materials are not easily extracted. Here we present a method for determining the resistance matrix for an anisotropic device with multiple electrical contacts placed in a perpendicular magnetic field. By using the methods developed by Van der Pauw and Wasscher, the analysis for the anisotropic system is reduced to the equivalent problem for an isotropic sample, which can then be solved using methods developed previously. As a result, the method works in the case of structures with an arbitrary number of asymmetric extended contacts at large magnetic field strength. In addition to the extraction of nonisotropic resistivities, the resistance matrix can be used to analyze the Hall effect for anisotropic plates.

Hall Device, Resistance Matrix, Van Der Pauw Method, Anisotropic

Homentcovschi, D. , Oprea, R. and Murray, B. (2021) Resistance Matrix for an Anisotropic Hall Plate with Multiple Extended Asymmetric Contacts on the Boundary. Journal of Applied Mathematics and Physics, 9, 1911-1925. doi: 10.4236/jamp.2021.98125.