Quantitative Mobility Spectrum Analysis for Magnetic Field Dependent Hall and Resistivity Data
Patent, Filed 4 Oct 95, patented 4 Aug 98
DEPARTMENT OF THE NAVY WASHINGTON DC
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A method and apparatus for producing the conductivity-mobility spectrum of an isotropic semiconductor material, and hence infer the mobility and concentration of carriers in the material. Hall voltage and material conductivity are measured at a plurality of magnetic field strengths, values of the spectrum estimated for each field strength, and the estimates numerically iterated to produce convergent values for the spectrum. In one embodiment, interim selected values of the spectrum are prevented from going negative, which increases the precision of the ultimate convergent values. In another embodiment, the iteration equations employ damping factors to prevent over-correction from one iteration to the next, thus preventing convergent instabilities. The preferred iteration is the Gauss-Seidel recursion.
- Electricity and Magnetism