Standard treatments of the field emission problem typically rely on approximations to the evaluation of the Transmission Coefficient (TC). Recently, the Wigner Distribution Function (WDF) has been applied to this problem. In this paper, fast, accurate, and efficient numerical algorithms for each are presented and compared to each other and to traditional WKB and Fowler Nordheim approaches for silicon field emission. As each approach admits a trajectory interpretation, the methods for incorporating each into a larger Ensemble Particle Monte Carlo (EPMC) simulation of quantum transport are briefly discussed.
Jensen, K.L. and Ganguly, A.K. (1992), "A COMPARISON OF THE TRANSMISSION COEFFICIENT AND THE WIGNER FUNCTION APPROACHES TO FIELD EMISSION", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 11 No. 4, pp. 457-470. https://doi.org/10.1108/eb010106
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