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PreprintCC BY 4.0arXiv

A physics-informed uncertainty-aware surrogate for p-n junction diodes

Abstract

We develop an uncertainty-aware physics-informed surrogate for a one-dimensional p-n junction diode, conditioned on device length, doping and bias. Using the internal state of the device as predicted by the surrogate we develop a test-suite of quantities of interest including the terminal current, depletion width, peak field and stored charge. The formalism and the quantities are can be extended to asymmetric junction and two-dimensional diodes as shown by means of benchmark analysis. For the one-dimensional symmetric junction surrogate, we obtain 0.11% median L1 error on the electrostatic potential, and 1.5% and 0.61% on the electron and hole densities. Finally, we develop an uncertainty analysis which determines the validity of surrogate answer within the user-specified tolerance.

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BibTeX
@misc{kulkarni2026physicsinformed,
  title = {{A physics-informed uncertainty-aware surrogate for $p$-$n$ junction diodes}},
  author = {Suchita Kulkarni},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.39993},
  eprint = {2610.39993},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.39993},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A physics-informed uncertainty-aware surrogate for p-n junction diodes
AU  - Suchita Kulkarni
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.39993
UR  - https://arxiv.org/abs/2610.39993
AB  - We develop an uncertainty-aware physics-informed surrogate for a one-dimensional p-n junction diode, conditioned on device length, doping and bias. Using the internal state of the device as predicted by the surrogate we develop a test-suite of quantities of interest including the terminal current, depletion width, peak field and stored charge. The formalism and the quantities are can be extended to asymmetric junction and two-dimensional diodes as shown by means of benchmark analysis. For the one-dimensional symmetric junction surrogate, we obtain 0.11% median L_1 error on the electrostatic potential, and 1.5% and 0.61% on the electron and hole densities. Finally, we develop an uncertainty analysis which determines the validity of surrogate answer within the user-specified tolerance.
ER  -