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Electrostatic shielding is an important consideration for large area field emitters (LAFE) and results in a distribution of field enhancement factors even when the constituent emitters are identical. Ideally, the mean and variance together…

Applied Physics · Physics 2021-12-10 Rashbihari Rudra , Debabrata Biswas

In papers on cold field electron emission from large area field emitters (LAFEs), it has become widespread practice to publish a misleading Fowler-Nordheim-type (FN-type) equation. This equation over-predicts the LAFE-average current…

Mesoscale and Nanoscale Physics · Physics 2018-12-18 Richard G. Forbes

In electron field emission experiments, a linear relationship in plots of slope vs. intercept obtained from Fowler-Nordheim analysis is commonly observed for single tips or tip arrays. By simulating samples with many tips, it is shown here…

Mesoscale and Nanoscale Physics · Physics 2013-10-16 Arun Persaud

An important parameter used to characterize large-area field electron emitters (LAFEs) is the characteristic apex field enhancement factor {\gamma}_C. This parameter is normally extracted from the slope of a Fowler-Nordheim (FN) plot.…

Applied Physics · Physics 2019-05-31 Richard G. Forbes

Field emisison of electrons crucially depends on the enhancement of the local electric field around nanotips. The enhancement is maximum when individual emitter-tips are well separated. As the distance between two or more nanotips…

Applied Physics · Physics 2021-12-10 Debabrata Biswas , Rashbihari Rudra

It is well known that sufficiently strong electrostatic fields are able to change the morphology of Large Area Field Emitters (LAFEs). This phenomenon affects the electrostatic interactions between adjacent sites on a LAFE during field…

Mesoscale and Nanoscale Physics · Physics 2018-04-03 Edgar Marcelino , Thiago A. de Assis , Caio M. C. de Castilho

Representing field emission data on a Fowler--Nordheim plot is both very common and strongly not recommended. It leads to a spurious estimation of the emitter parameters despite a very good data fit. There is a lack of a reliable method of…

Materials Science · Physics 2023-02-01 Anthony Ayari , Pascal Vincent , Sorin Perisanu , Philippe Poncharal , Stephen Purcell

A large area field emitter (LAFE) typically consists of several thousands of nanoscale emitting tips. These are difficult to simulate using purely numerical methods based on finite/boundary element or finite difference methods. We show here…

Applied Physics · Physics 2022-07-21 Debabrata Biswas , Rashbihari Rudra , Raghwendra Kumar

Field emission data are often represented on a Fowler--Nordheim plot but a new empirical equation has been recently proposed to better analyze experiments. Such an equation is based on approximations of the Murphy and Good model and…

Materials Science · Physics 2022-06-10 Anthony Ayari , Pascal Vincent , Sorin Perisanu , Philippe Poncharal , Stephen Purcell

A recent analytical model for large area field emitters, based on the line charge model (LCM), provides a simple approximate formula for the field enhancement on hemi-ellipsoidal emitter tips in terms of the ratio of emitter height and…

Applied Physics · Physics 2022-01-06 Rashbihari Rudra , Debabrata Biswas

Field emission (FE) electron sources are made close to atomic-scale to reach the highest spatial resolution as well as stable emission for electron microscopy, electron beam inspection and lithography. At present, no single agreed method…

A finite-size uniform random distribution of vertically aligned field emitters on a planar surface is studied under the assumption that the asymptotic field is uniform and parallel to the emitter axis. A formula for field enhancement factor…

Applied Physics · Physics 2019-05-08 Debabrata Biswas , Rashbihari Rudra

This article proposes that we should think differently about predicting and interpreting measured field electron emission (FE) current-voltage [I(V)] characteristics. It is commonly assumed that I(V) data interpretation is a problem in…

Mesoscale and Nanoscale Physics · Physics 2023-03-22 Richard G. Forbes

In field electron emission (FE) studies, it is important to check and analyse the quality and validity of results experimentally obtained from samples, using suitably plotted current-voltage [I(V)] measurements. For the traditional plotting…

Applied Physics · Physics 2020-06-16 Mohammad M. Allam , Richard G. Forbes , Marwan S. Mousa

A field in a homogeneous medium can be amplified or enhanced by inserting closely located perfectly conducting inclusions into the medium. In this paper precise quantitative estimates for such enhancement are derived when the given field is…

Analysis of PDEs · Mathematics 2019-09-10 Hyeonbae Kang , KiHyun Yun

Measured field electron emission (FE) current-voltage Im(Vm) data are traditionally analysed via Fowler-Nordheim (FN) plots, as ln{Im/(Vm)**2} vs 1/Vm. These have been used since 1929, because in 1928 FN predicted they would be linear. In…

Mesoscale and Nanoscale Physics · Physics 2019-05-21 Richard G. Forbes

Field electron emission (FE) has relevance in many different technological contexts. However, many related technological papers use a physically defective elementary FE equation for local emission current density (LECD). This equation takes…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Richard G. Forbes

This article introduces an improved approach to Fowler-Nordheim (FN) plot analysis, based on a new type of intercept correction factor. This factor is more cleanly defined than the factor previously used. General enabling theory is given…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Richard G. Forbes , Andreas Fischer , Marwan S. Mousa

This paper focuses on one small but significant part of a long-term project that aims to improve the interpretation of measured field electron emission (FE) current-voltage [I_m(V_m)] data, and (later) the formulation of FE theory. A new…

Mesoscale and Nanoscale Physics · Physics 2021-07-20 Richard G. Forbes

With a large-area field electron emitter, when an individual post-like emitter is sufficiently resistive, and current through it sufficiently large, then voltage loss occurs along it. This Letter provides a simple analytical and conceptual…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Richard G. Forbes
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