The charge-density method of solving electrostatic problems with and without the inclusion of space-charge

Renau, A.; Read, F H; Brunt, J. N. H.

doi:10.1088/0022-3735/15/3/025

Cited by 64 publications

(17 citation statements)

References 12 publications

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“…Modeling the geometry of an emitter structure may invoke the axial or translational symmetry of the emitter to utilize an elegant 2-D boundary element approach [128][129][130]. Consider as an example a rotationally symmetric hyperbola of revolution, which mimics several of the "vertical emitter" structures.…”

Section: Boundary Element Methodsmentioning

confidence: 99%

Theory of Field Emission

Jensen

2001

Vacuum Microelectronics

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Section: Boundary Element Methodsmentioning

confidence: 99%

Theory of Field Emission

Jensen

2001

Vacuum Microelectronics

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“…At xed [14], the boundary element (BEM) [15], the nite element method [16], the nite (1317) A.H. Isik dierence method [17]. These methods have been used to solve Laplace equation.…”

Section: Methodsmentioning

confidence: 99%

The Investigation of Electron-Optical Parameters Using Artificial Neural Networks

Işık

2015

Acta Phys. Pol. A

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The optimization of scientic instruments is crucially important to increase the quality of measurements. A major challenge for the development of these experimental tools is the precise determination of focal parameters. Therefore, usage of an innovative technique that meets our requirements is desirable. Among intelligent algorithms, articial neural network (ANN) has an advantage of obtaining the optical parameters data with high accuracy. One of the most popular geometries used in electrostatic optical devices is geometry with cylinder lenses. In this study, the articial neural network is applied for the rst time to the subject of the magnication parameters of threeelement electrostatic cylinder lenses for a wide range of values of the applied voltages. ANN-based optimization has been performed using Matlab/Simulink, and the performance analysis has also been conducted. High-performance results have been achieved using ANN approach. The commercial simulation package SIMION software is used as a data source for articial neural network results. This approach provides new perspectives for the eective solution for the problems related to electrostatic lenses with dierent geometries.

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“…In this method the solution of Laplace's equation is written as a number of functions where each function depends on one variable only [9,15,16,18,24,[49][50][51]. With the Boundary Element Method (BEM), or Charge Density Method (CDM), the system of electrostatic lenses is replaced under applied potentials with a system of rings of charge that assumes the same geometry as the cylinders [11,14,17,[52][53][54][55]. The Finite Element Method (FEM) is a numerical technique for obtaining solutions to boundary value problems.…”

Section: Determination Of Axial Potentialmentioning

confidence: 99%

Multi-element cylindrical electrostatic lens systems for focusing and controlling charged particles

Sise

Ulu

Doğan

2005

Nuclear Instruments and Methods in Physics Research Section A:

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This paper describes theoretical modelling of electrostatic lenses based on 3, 4 and 5 closely spaced cylindrical electrodes, respectively. In each case, modelling is carried out numerically using commercial packages SIMION and LENSYS, and a variety of performance parameters are obtained. These include the magnification, the 3 rd order spherical and chromatic aberration coefficients. Special cases such as zoom lens (i.e., lenses whose magnification may be changed without losing focus) are considered. Results are obtained as a function of the ratios of the electrode lengths and gaps, and as a function of ratios of the controlling voltages.As a result, it is shown that how a multi-element lens system can be operated with the whole focal properties in a useful mode for using in experimental studies.

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The charge-density method of solving electrostatic problems with and without the inclusion of space-charge

Cited by 64 publications

References 12 publications

Theory of Field Emission

Theory of Field Emission

The Investigation of Electron-Optical Parameters Using Artificial Neural Networks

Multi-element cylindrical electrostatic lens systems for focusing and controlling charged particles

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