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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…

应用物理 · 物理学 2019-05-08 Debabrata Biswas , Rashbihari Rudra

In this dissertation, we analytically study the apex field enhancement factor (FEF), $\gamma_a$, by constructing a method which consists in minimizing an error function defined as to measure the deviation of the potential at the boundary,…

经典物理 · 物理学 2019-09-24 Adson Soares de Souza

This paper improves understanding of electrostatic influences on apex field enhancement factors (AFEFs) for small field emitter arrays. Using the "floating sphere at emitter-plate potential" (FSEPP) model, it re-examines the electrostatics…

介观与纳米尺度物理 · 物理学 2018-12-19 Richard G. Forbes

In the literature about field emission, finite elements and finite differences techniques are being increasingly employed to understand the local field enhancement factor (FEF) via numerical simulations. In theoretical analyses, it is usual…

计算物理 · 物理学 2023-05-03 Thiago A. de Assis , Fernando F. Dall'Agnol

Large area field electron emitters, typically consisting of several thousands of nanotips, pose a major challenge since numerical modeling requires enormous computational resources. We propose a hybrid approach where the local electrostatic…

应用物理 · 物理学 2022-01-06 Debabrata Biswas

Both single emitters and large area field emitters (LAFE) are generally characterized using the slope and intercept of a Murphy-Good (or Fowler-Nordheim) plot which are used to extract the field enhancement factor and the emission area.…

应用物理 · 物理学 2022-02-24 Debabrata Biswas

Numerical simulations are important when assessing the many characteristics of field emission related phenomena. In small simulation domains, the electrostatic effect from the boundaries is known to influence the calculated apex field…

介观与纳米尺度物理 · 物理学 2018-07-02 Thiago A. de Assis , Fernando F. Dall'Agnol

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…

应用物理 · 物理学 2021-12-10 Rashbihari Rudra , Debabrata Biswas

The field enhancement factor (FEF) is an important quantity in field emission calculations since the tunneling electron current depends very sensitively on its magnitude. The exact dependence of FEF on the emitter height $h$, the radius of…

应用物理 · 物理学 2018-05-24 Debabrata Biswas

Field emission tips with apex radius of curvature below 100nm are not adequately described by the standard theoretical models based on the Fowler-Nordheim and Murphy-Good formalisms. This is due to the breakdown of the `constant electric…

应用物理 · 物理学 2021-12-10 Rajasree Ramachandran , Debabrata Biswas

Recent analyses of the field enhancement factor (FEF) from multiple emitters have revealed that the depolarization effect is more persistent with respect to the separation between the emitters than originally assumed. It has been shown…

介观与纳米尺度物理 · 物理学 2018-12-19 Fernando F. Dall'Agnol , Thiago A. de Assis , Richard G. Forbes

The corrections to finite-size scaling in the critical two-point correlation function G(r) of 2D Ising model on a square lattice have been studied numerically by means of exact transfer-matrix algorithms. The systems of square geometry with…

统计力学 · 物理学 2007-05-23 J. Kaupuzs

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…

偏微分方程分析 · 数学 2019-09-10 Hyeonbae Kang , KiHyun Yun

The field enhancement factor at the emitter tip and its variation in a close neighbourhood determines the emitter current in a Fowler-Nordheim like formulation. For an axially symmetric emitter with a smooth tip, it is shown that the…

应用物理 · 物理学 2018-01-30 Debabrata Biswas , Gaurav Singh , Shreya G. Sarkar , Raghwendra Kumar

The corrections to finite-size scaling in the critical two-point correlation function G(r) of 2D Ising model on a square lattice have been studied numerically by means of exact transfer-matrix algorithms. The systems have been considered,…

统计力学 · 物理学 2007-05-23 J. Kaupuzs

Single-molecule force-extension experiments have allowed quantitative measurements of the mechanical responses of biomolecules to applied forces explaining their roles in key biological functions. Electrophoretic stretching of charged…

软凝聚态物质 · 物理学 2024-02-21 Ananya Mondal , Greg Morrison

Experiments on field electron emission from single-tip nanoemitters have typically been carried out using a counter-electrode with a finite curvature radius $R$, positioned at a distance $d_{\rm{gap}}$ from the emitter's apex. The effects…

介观与纳米尺度物理 · 物理学 2025-02-12 Thiago A. de Assis , Fernando F. Dalll'Agnol

When solving the Laplace equation numerically via computer simulation, in order to determine the field values at the surface of a shape model that represents a field emitter, it is necessary to define a simulation box and, within this, a…

计算物理 · 物理学 2023-03-22 Fernando F. Dall'Agnol , Thiago A. de Assis , Richard G. Forbes

This work deals with the computation of electron pair correction to small angle Bhabha scattering, in order to contribute to the improvement of luminometry precision at LEP/SLC below 0.1% theoretical accuracy. The exact QED four-fermion…

高能物理 - 唯象学 · 物理学 2011-07-19 G. Montagna , M. Moretti , O. Nicrosini , A. Pallavicini , F. Piccinini

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.…

应用物理 · 物理学 2019-05-31 Richard G. Forbes
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