Finite-Element Models for Planar Hall Probes of Arbitrary Shape and Composition

✍ Scribed by Stanley Humphries; Jr.

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 295 KB
• Volume: 128
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1996.0222

✦ Synopsis

more direct than standard derivations using element shape functions and energy minimization [17]. In Section 3 the Previous numerical models of planar Hall probes using finitedifference and finite-element methods were limited to open bound-model is extended to include the effects of magnetic force.

aries parallel to the coordinate axes. This paper derives the finite-

The law of current conservation leads to a set of linear element equations on a conformal triangular mesh directly from equations that relate the potential of each mesh point to the law of current conservation. The treatment shows that the Hall the values at neighboring points and the local injection condition for general curved boundaries is inherent in the equations current. The equations can be solved by matrix inversion and can be implemented in numerical programs with little effort. Results are presented from a code that can handle spatial variations or relaxation. Section 4 discusses implementation of the of magnetic field, layer thickness, volume resistivity, and the Hall method in a computer code.

coefficient in probes of any shape.