Introduction to Numerical Electrostatics Using MATLAB®

Dworsky, Lawrence N.

doi:10.1002/9781118758571

Cited by 11 publications

(5 citation statements)

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“…Appropriate boundary conditions are applied at the interfaces between these fields. Separately, it should be noted that the FDTD, FEM, and MoM are the most universal methods, and the largest number of books are devoted to their consideration where these methods are considered together, for example [1,[42][43][44][45]. The choice of a particular numerical method is based on the use of some criteria, such as the complexity of the geometry of the analyzed object, its electrical dimensions, available computing power, etc.…”

Section: Methodsmentioning

confidence: 99%

On Wire-Grid Representation for Modeling Symmetrical Antenna Elements

et al. 2022

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This paper focuses on the combination of the method of moments and the wire-grid approximation as an effective computational technique for modeling symmetrical antennas with low computational cost and accurate results. The criteria and conditions for the use of wire-grid surface approximation from various sources are presented together with new recommendations for modeling symmetrical antenna structures using the wire-grid approximation. These recommendations are used to calculate the characteristics of biconical and horn antennas at different frequencies. The results obtained using different grid and mesh settings are compared to those obtained analytically. Moreover, the results are compared to those obtained using the finite difference time domain numerical method, as well as the measured ones. All results are shown to be in a good agreement. The recommendations used for building a symmetrical wire-grid of those symmetrical antenna elements provided the most advantageous parameters of the grid and mesh settings and the wire radius, which are able to give quite accurate results with low computational cost. Additionally, the known equal area rule was modified for a rectangular grid form. The obtained radiation patterns of a conductive plate using both the original rule and the modified one are compared with the electrodynamic analysis results. It is shown that the use of the modified rule is more accurate when using a rectangle grid form.

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Section: Methodsmentioning

confidence: 99%

On Wire-Grid Representation for Modeling Symmetrical Antenna Elements

et al. 2022

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show abstract

“…Appropriate boundary conditions are applied at the interfaces between these fields. Separately, it should be noted that the FDTD, FEM, and MoM are the most universal methods and the largest number of books are devoted to their consideration where these methods are considered together, for example [1,[40][41][42][43]. The choice of a particular numerical method is based on the use of some criteria: the complexity of the geometry of the analyzed object; its electrical dimensions; available computing power; etc.…”

Section: Methodsmentioning

confidence: 99%

On Wire-Grid Representation for Modeling Symmetrical Antenna Elements

Hasan¹,

Klyukin²,

Kvasnikov³

et al. 2022

Preprint

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This paper focuses on the combination of the method of moments and the wire-grid approximation as an effective computational technique for modeling symmetrical antennas with low computational cost and quite accurate results. The criteria and conditions for the use of wire-grid surface approximation from various sources are presented together with new recommendations for modeling symmetrical antenna structures using the wire-grid approximation. These recommendations are used to calculate the characteristics of biconical and horn antennas at different frequencies. The results obtained using different grid and mesh settings are compared to those obtained analytically. Moreover, the results are compared to those obtained using the finite difference time domain numerical method, as well as the measured ones. All results are shown to be in a good agreement. The used recommendations for building a symmetrical wire-grid of those symmetrical antenna elements provided the most advantageous parameters of the grid and mesh settings and the wire radius, which are able to give a quite accurate results with low computational cost. Additionally, the known equal area rule was modified for a rectangular grid form. The obtained radiation patterns of a conductive plate using both the original rule and the modified one are compared with the electrodynamic analysis results. It is shown that the use of the modified rule is more accurate when using a rectangle grid form.

show abstract

“…A regular computational grid poses challenge in handling surfaces of curved boundaries. As the computational cells at the curved boundaries are cut into two medium by a boundary surface, special algorithms are required to smoothen the field 34 . Emission of charged particle using Eq.…”

Section: Methodsmentioning

confidence: 99%

“…We have varied the grid, time-step and particle number to ensure convergence. The Cut-Cell module 34 of PASUPAT has been deployed to model curved emitter. Since an electrostatic simulation has been carried out, a Multigrid Poisson solver 38 has been used to update the electric field.…”

Section: Geometry and Simulation Detailsmentioning

confidence: 99%

Approximate universality in the electric field variation on a field-emitter tip in the presence of space charge

Kumar,

Singh,

Biswas

2021

Preprint

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Introduction to Numerical Electrostatics Using MATLAB®

Cited by 11 publications

References 0 publications

On Wire-Grid Representation for Modeling Symmetrical Antenna Elements

On Wire-Grid Representation for Modeling Symmetrical Antenna Elements

On Wire-Grid Representation for Modeling Symmetrical Antenna Elements

Approximate universality in the electric field variation on a field-emitter tip in the presence of space charge

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