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This technical note relates to the theory of cold field electron emission(CFE). It starts by suggesting that, to emphasize common properties in relationto CFE theory, the term 'Lauritsen plot' could be used to describe allgraphical plots made with the reciprocal of barrier field (or the reciprocal ofa quantity proportional to barrier field) on the horizontal axis. It thenargues that Lauritsen plots related to barrier strength (G) and transmissionprobability (D) could play a useful role in discussion of CFE theory. Suchplots would supplement conventional Fowler-Nordheim (FN) plots. All these plotswould be regarded as particular types of Lauritsen plot. The Lauritsen plots of-G and lnD can be used to illustrate how basic aspects of FN tunnelling theoryare influenced by the mathematical form of the tunnelling barrier. These, inturn, influence local emission current density and emission current.Illustrative applications used in this note relate to the well-known exacttriangular and Schottky-Nordheim barriers, and to the Coulomb barrier (i.e.,the electrostatic component of the electron potential energy barrier outside amodel spherical emitter). For the Coulomb barrier, a good analytical seriesapproximation has been found for the barrier-form correction factor; this canbe used to predict the existence (and to some extent the properties) of relatedcurvature in FN plots.

Illustrating field emission theory by using Lauritsen plots of transmission probability and barrier strength