Method for efficiently determining a fermi-dirac integrals

Details Method for efficiently determining a fermi-dirac integrals Method for efficiently determining a fermi-dirac integrals

1998-06-17

2000-08-08

Mai, Tan V.

Electrical computers: arithmetic processing and calculating

Electrical digital calculating computer

Particular function performed

G06F 738

Patent

active

061015199

ABSTRACT:
A computer implemented method for efficiently evaluating a Fourier sine/cosine transform of a bounded analytical function is described. The transform is computed in a plurality of steps which reduces the required transform to a sum of two terms which can be efficiently evaluated using a digital computer. The computer evaluates the first and second terms as definite integrals. The first integral is evaluated via standard techniques, and the second integral is evaluated as a definite integral of a sum of terms which converges. The method is advantageously used to provide a model of semiconductor devices which takes into account quantum mechanical effects while minimizing compute operation time. A look-up table of semiconductor carrier density versus spatially dependent field values can optionally be constructed.

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patent: 4700353 (1987-10-01), Van Gieson et al.
Ghazavi et al, "Two-Dimensional MOS Device Modeling at Low Temperature", IEEE, pp. 189-192, 1992.

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