<i>The Classical Electromagnetic Field</i>

Eyges, Leonard; Friedberg, R.

doi:10.1063/1.3128144

Cited by 86 publications

(86 citation statements)

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“…(2), complete the boundary value problem of the Maxwell electrostatics. [1][2][3][4] The uniform macroscopic electric field E = V /d is directly accessible from the dielectric experiment measuring the voltage V across the plates separation d. On the contrary, how to define the generally inhomogeneous field E p in Eq. (1) at the micro-to-meso length scale has never been adequately resolved.…”

Section: Introductionmentioning

confidence: 99%

“…The standard dielectric experiment measures the material's dielectric constant ǫ as the drop of the voltage in the material compared to vacuum. 1,3 The macroscopic dielectric constant ǫ also enters the Maxwell constitutive relation connecting the field E to the displacement vector D D = ǫE.…”

Section: Introductionmentioning

confidence: 99%

“…1,4 We then proceed to the formulation of the boundary value problem and the formalism of extracting the dielectric susceptibility of the interface from numerical simulations, followed by the connection of the theory to spectroscopic and dielectric experiments.…”

Section: Introductionmentioning

confidence: 99%

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Electrostatics of liquid interfaces

Matyushov

2014

The Journal of Chemical Physics

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The standard Maxwell formulation of the problem of polarized dielectrics suffers from a number of difficulties, both conceptual and practical. These difficulties are particularly significant in the case of liquid interfaces, where the ability of the interfacial multipoles to change their orientations to minimize their free energies leads to interfacial polarization localized within a thin microscopic layer. A formalism to capture this physical reality of localized interfacial polarization is proposed and is based on the surface charge as the source of microscopic electric fields in dielectrics. The surface charge density incorporates the local structure of the interface into electrostatic calculations. The corresponding surface susceptibility and interface dielectric constant provide local closures to the electrostatic boundary value problem. A robust approach to calculate the surface susceptibility from numerical simulations is proposed. The susceptibility can alternatively be extracted from a number of solution experiments, in particular those sensitive to the overall dipole moment of a closed dielectric surface. The theory is applied to the solvent-induced spectral shift and high-frequency dielectric response of solutions.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electrostatics of liquid interfaces

Matyushov

2014

The Journal of Chemical Physics

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“…In general, electric and magnetic fields at r ′ radiated or scattered by a particle of volume V with current density J(r) of harmonic time dependence exp(jωt) can be related to its multipole moments by a Taylor expansion [31]- [33] of the vector potential of J(r), i.e.,…”

Section: Multi-polarizabilitiesmentioning

confidence: 99%

Planar chirality of plasmonic multi-split rings

Arnaut¹

2009

J. Opt. A: Pure Appl. Opt.

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Abstract. We develop an analytical framework for the analysis of planar chiral multi-split rings, based on a Fourier series expansion of the induced current. The number, width, and location of each split (gap) is arbitrary. Provision is made for the possibility of inserting lumped active or passive impedance loads in the gaps. The model demonstrates the hallmark of planar chirality and its consequent magneto-electric coupling as a function of the parameters of the splits and impedance loads. It is demonstrated that impedance loads sequenced in a clockwise or anti-clockwise fashion allow for generation of dissymetric current distributions in the plane, like for geometric (structural) chirality.We also determine the effect of planar chirality on the relevant dyadic polarizability components of a split ring.Reflection and transmission coefficient characteristics of regular arrays of such rings are determined with the aid of the periodic method of moments. Phase-coherent detection of the sense of handedness and incoherent detection of planar chirality per se by measurement of the field intensity are shown to be possible, in both the reflection and transmission characteristics. These results are relevant to both coherent and incoherent detection at optical and suboptical wavelengths.

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“…A simple correction to accommodate curvature effects into the estimate of total current is to incorporate the image charge associated with a hemispherical shape (a staple boundary value problem in electrodynamics textbooks 19,20 and elsewhere 5,21 ) characterized by a tip radius a, by redefining the work function by U a ¼ U þ ðQ=2aÞ in the Fowler-Nordheim equation 5,22 (although important, the modifications to the transmission probability accounting for trajectory curvature effects which increase the tunneling barrier an electron encounters are not part of the present analysis, although they can be included 10,23,24 2 Þ as a function of 1/F in the Fowler-Nordheim representation of data] but also the power that F is raised to in the coefficient (2 -) and the interceptÃ.…”

Section: Spherical Image Charge Approximationmentioning

confidence: 99%

2D/3D image charge for modeling field emission

Jensen

Shiffler

Harris

et al. 2016

Journal of Vacuum Science &Amp; Technology B, Nanotechnology and Microelectronics: Materials, Processing, Measurement, and Phen

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Analytic image charge approximations exist for planar and spherical metal surfaces but approximations for more complex geometries, such as the conical and wirelike structures characteristic of field emitters, are lacking. Such models are the basis for the evaluation of Schottky lowering factors in equations for current density. The development of a multidimensional image charge approximation, useful for a general thermal-field emission equation used in space charge studies, is given and based on an analytical model using a prolate spheroidal geometry. A description of how the model may be adapted to be used with a line charge model appropriate for carbon nanotube and carbon fiber field emitters is discussed. [http://dx

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The Classical Electromagnetic Field

Cited by 86 publications

References 0 publications

Electrostatics of liquid interfaces

Electrostatics of liquid interfaces

Planar chirality of plasmonic multi-split rings

2D/3D image charge for modeling field emission

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