Recovering the electron mobility from conductivity measurements by stochastic projection methods

Abstract Stochastic projection methods are developed and applied in this study to recovering the electron mobility from conductivity measurements. The method can be interpreted as a conditional stochastic search for a solution of the first kind integral equation that minimizes the mean square residual under a set of conditions like boundedness, solution positivity, and smoothness properties. Synthetic data were used to analyze sensitivity of the calculated solutions. To validate the methods, simulations were performed to extract electron mobility from measured conductivity data for various semiconductor materials.

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Publication Details

Journal
Journal of Inverse and Ill-Posed Problems
Published
2026-07-28
DOI
https://doi.org/10.1515/jiip-2026-0054
Primary Topic
Electron and X-Ray Spectroscopy Techniques
Type
article
Field-Weighted Citation Impact
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article

Recovering the electron mobility from conductivity measurements by stochastic projection methods

Karl K. Sabelfeld, Igor Shafigulin, Dmitry Protasov, Dmitry Gulyaev
Journal of Inverse and Ill-Posed Problems
Electron and X-Ray Spectroscopy Techniques
article

Recovering the electron mobility from conductivity measurements by stochastic projection methods

Karl K. Sabelfeld, Igor Shafigulin, Dmitry Protasov, Dmitry Gulyaev
article en

Abstract

Abstract Stochastic projection methods are developed and applied in this study to recovering the electron mobility from conductivity measurements. The method can be interpreted as a conditional stochastic search for a solution of the first kind integral equation that minimizes the mean square residual under a set of conditions like boundedness, solution positivity, and smoothness properties. Synthetic data were used to analyze sensitivity of the calculated solutions. To validate the methods, simulations were performed to extract electron mobility from measured conductivity data for various semiconductor materials.

Journal of Inverse and Ill-Posed Problems
Institute of Computational Mathematics and Mathematical Geophysics (RU), Institute of Semiconductor Physics (RU)
Openalex Percentile: Top 20%
Electron and X-Ray Spectroscopy Techniques
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