Electromagnetic Scalar Potentials at a Dielectric Interface.

1996 ◽  
Author(s):  
Martin J. Lahart
Keyword(s):  
Dielectric Interface ◽  
Scalar Potentials

Use of the Magnetostatic Analogue In Electromagnetic Lens Engineering

1970 ◽  
Vol 28 ◽  
pp. 360-361
Author(s):  
John W. Coleman
Keyword(s):  
Boundary Conditions ◽  
High Performance ◽  
Force Fields ◽  
Optical Design ◽  
Direct Conversion ◽  
Design Engineering ◽  
Design Data ◽  
Scalar Potentials ◽  
Geometric Elements ◽  
At Will

In the design engineering of high performance electromagnetic lenses, the direct conversion of electron optical design data into drawings for reliable hardware is oftentimes difficult, especially in terms of how to mount parts to each other, how to tolerance dimensions, and how to specify finishes. An answer to this is in the use of magnetostatic analytics, corresponding to boundary conditions for the optical design. With such models, the magnetostatic force on a test pole along the axis may be examined, and in this way one may obtain priority listings for holding dimensions, relieving stresses, etc..The development of magnetostatic models most easily proceeds from the derivation of scalar potentials of separate geometric elements. These potentials can then be conbined at will because of the superposition characteristic of conservative force fields.

scholarly journals Debye-Hückel Free Energy of an Electric Double Layer with Discrete Charges Located at a Dielectric Interface

Membranes ◽  
2021 ◽  
Vol 11 (2) ◽  
pp. 129
Author(s):  
Guilherme Volpe Bossa ◽  
Sylvio May
Keyword(s):  
Free Energy ◽  
Double Layer ◽  
Electric Double Layer ◽  
Low Dielectric Constant ◽  
Surface Charges ◽  
Dielectric Interface ◽  
Charge Densities ◽  
Low Dielectric ◽  
Poisson Boltzmann ◽  
The Continuum

Poisson–Boltzmann theory provides an established framework to calculate properties and free energies of an electric double layer, especially for simple geometries and interfaces that carry continuous charge densities. At sufficiently small length scales, however, the discreteness of the surface charges cannot be neglected. We consider a planar dielectric interface that separates a salt-containing aqueous phase from a medium of low dielectric constant and carries discrete surface charges of fixed density. Within the linear Debye-Hückel limit of Poisson–Boltzmann theory, we calculate the surface potential inside a Wigner–Seitz cell that is produced by all surface charges outside the cell using a Fourier-Bessel series and a Hankel transformation. From the surface potential, we obtain the Debye-Hückel free energy of the electric double layer, which we compare with the corresponding expression in the continuum limit. Differences arise for sufficiently small charge densities, where we show that the dominating interaction is dipolar, arising from the dipoles formed by the surface charges and associated counterions. This interaction propagates through the medium of a low dielectric constant and alters the continuum power of two dependence of the free energy on the surface charge density to a power of 2.5 law.

Inherent Dipole Layer Formation Driven by Surface Energy at Nonplanar Dielectric Interface

2020 ◽  
pp. 1-5
Author(s):  
Yu Fang ◽  
Wen-Jay Lee ◽  
An-Chen Yang ◽  
Guan-Peng Chen ◽  
Nan-Yow Chen ◽  
...  
Keyword(s):  
Surface Energy ◽  
Layer Formation ◽  
Dielectric Interface ◽  
Dipole Layer

Surface polaritons at the magnetized semiconductor-dielectric interface

2013 ◽  
Vol 55 (11) ◽  
pp. 2324-2330 ◽  
Author(s):  
D. G. Sannikov ◽  
D. I. Sementsov
Keyword(s):  
Surface Polaritons ◽  
Dielectric Interface

High-Power Microwave Surface Flashover of a Gas–Dielectric Interface at 90–760 torr

2006 ◽  
Vol 34 (5) ◽  
pp. 1782-1788 ◽  
Author(s):  
G. Edmiston ◽  
J. Krile ◽  
A. Neuber ◽  
J. Dickens ◽  
H. Krompholz
Keyword(s):  
High Power ◽  
High Power Microwave ◽  
Dielectric Interface ◽  
Surface Flashover ◽  
Power Microwave

scholarly journals Probing the spatial dispersion in a dense atomic vapor near a dielectric interface

1998 ◽  
Vol 58 (6) ◽  
pp. 4473-4478 ◽  
Author(s):  
H. van Kampen ◽  
V. A. Sautenkov ◽  
E. R. Eliel ◽  
J. P. Woerdman
Keyword(s):  
Spatial Dispersion ◽  
Atomic Vapor ◽  
Dielectric Interface
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