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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

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…

Applied Physics · Physics 2018-05-24 Debabrata Biswas

The proximity of the anode to a curved field electron emitter alters the electric field at the apex and its neighbourhood. A formula for the apex field enhancement factor, $\gamma_a(D)$, for generic smooth emitters is derived using the line…

Applied Physics · Physics 2022-01-06 Debabrata Biswas

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

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…

Applied Physics · Physics 2018-01-30 Debabrata Biswas , Gaurav Singh , Shreya G. Sarkar , Raghwendra Kumar

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

The cosine law of field enhancement factor variation was recently derived for a hemi-ellipsoidal emitter and numerically established for other smooth emitter shapes (Biswas et al, Ultramicroscopy, 185, 1 (2018)). An analytical derivation is…

Applied Physics · Physics 2022-01-06 Debabrata Biswas , Gaurav Singh , Rajasree Ramachandran

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…

Applied Physics · Physics 2022-01-06 Debabrata Biswas

A field excited by an emitter can be enhanced due to presence of closely located inclusions. In this paper we consider such field enhancement when inclusions are disks of the same radii, and the emitter is of dipole type and located in the…

Analysis of PDEs · Mathematics 2018-11-06 Hyeonbae Kang , KiHyun Yun

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.…

Applied Physics · Physics 2022-02-24 Debabrata Biswas

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

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…

Computational Physics · Physics 2023-05-03 Thiago A. de Assis , Fernando F. Dall'Agnol

Field emission from nano-structured emitters primarily takes place from the tips. Using recent results on the variation of enhancement factor around the apex (Biswas et al, Ultramicroscopy 185, 1-4 (2018)), analytical expressions for…

Applied Physics · Physics 2018-05-24 Debabrata Biswas

Methods to increase the light scattered from small particles can help improve the sensitivity of many sensing techniques. Here, we investigate the role multiple scattering plays in perturbing the scattered signal when a particle is added to…

Optics · Physics 2021-08-03 Joel Berk , Matthew R. Foreman

We consider the amplification in strong electric (magnetic) fields that are uniform along the direction of the electron motion and are not uniform in the transverse direction. It is shown that in such a system the gain is increased compared…

Accelerator Physics · Physics 2017-07-25 I. V. Dovgan

In this paper non-asymptotic exact exponential estimates are derived for the tail of maximum distribution of random field in the terms of majoring measures or, equally, generic chaining.

Probability · Mathematics 2008-02-05 E. Ostrovsky , E. Rogover

Calculation of the distribution of the average value of a Gaussian random field in a finite domain is carried out for different cases. The results of the calculation demonstrate a strong dependence of the width of the distribution on the…

Disordered Systems and Neural Networks · Physics 2015-05-13 S. V. Novikov , M. Van der Auweraer

This paper studies in a quantitatively precise manner the field enhancement due to presence of an emitter of the dipole type near the bow-tie structure of perfectly conducting inclusions in the two-dimensional space. We put special emphasis…

Analysis of PDEs · Mathematics 2018-10-23 Hyeonbae Kang , KiHyun Yun

Fiber-fed etalons are widely employed in advanced interferometric instruments such as gravitational-wave detectors, ultrastable lasers and calibration reference for high-precision spectrographs. We demonstrate that variation in near-field…

Instrumentation and Methods for Astrophysics · Physics 2021-05-11 Jun Hao , Liang Tang , Huiqi Ye , Zhibo Hao , Jian Han , Yang Zhai , Kai Zhang , Ruyi Wei , Dong Xiao

Several applications require spatial distributions of the incident electric field that maximize the electric field at a focal point for a given input power. The field distributions are derived for various optical systems in a direct way…

Optics · Physics 2011-10-18 Markus Sondermann , Norbert Lindlein , Gerd Leuchs
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