Classical Electrodynamics

Schwinger, Julian; DeRaad, Lester L.; Milton, Kimball A.; Tsai, Wen‐Tien

doi:10.1201/9780429503542

Cited by 90 publications

(175 citation statements)

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“…as is well-known for arbitrary charge distributions [26]. Combining the single-particle and two-particle terms one has;…”

Section: Energy Shiftmentioning

confidence: 80%

“…The Coulomb interaction depends on the static Green tensor G ¢ ( ) r r , as defined in equation (23), which is related to the scalar Green function ¢ ( ) g r r , from electrostatics defined via [26]:…”

Section: Energy Shift In Terms Of the Scalar Green's Functionmentioning

confidence: 99%

“…, , see [26]. In order to show the connection between the two quantities G ¢ ( ) r r , and ¢ ( ) g r r , consider equation (3), which defines the full, frequency-dependent dyadic Green's tensor G w ¢ ( ) r r , , .…”

Section: Energy Shift In Terms Of the Scalar Green's Functionmentioning

confidence: 99%

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Manipulating the Coulomb interaction: a Green's function perspective

2018

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We present a unified framework for studying Coulomb interactions in arbitrary environments using macroscopic quantum electrodynamics on the basis of the electromagnetic Green's function. Our theory can be used to derive the Coulomb potential of a single charged particle as well as that between two charges in the presence of media, bodies and interfaces of arbitrary shapes. To demonstrate this, we reproduce the well-known screened Coulomb force, account for local-field effects and consider new cases such as a multi-layer medium, a dielectric cavity, a conducting wire and a plate with a hole.

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“…as is well-known for arbitrary charge distributions [26]. Combining the single-particle and two-particle terms one has;…”

Section: Energy Shiftmentioning

confidence: 80%

Section: Energy Shift In Terms Of the Scalar Green's Functionmentioning

confidence: 99%

See 1 more Smart Citation

Manipulating the Coulomb interaction: a Green's function perspective

2018

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“…Owing to the reduced dimensionality of the system, the integral formalism is particularly suitable for describing radiation scattering. Exploiting the Green's function method, in the presence of a time harmonic current density of complex amplitude

J (r)

, the overall radiation electric field can be written as

\begin{matrix} true \\ right boldE ((), r) & = & left {boldE}^{(i)} ((), r) + \\ left + false(i ω μ_{0} / 4 π false) (1 + k_{0}^{- 2} \nabla \nabla \cdot) \int d^{3} {boldr}^{'} h (r - r^{'}) J ({boldr}^{'}) \end{matrix}

where

k_{0} = ω / c

, c is the speed of light in vacuum, μ 0 is the permeability of free space, and

h false(boldr false) = e^{i k_{0} r} / r

is the outgoing spherical wave; the field is the superposition of the incident field

{boldE}^{false(i false)}

(satisfying Maxwell equations in vacuum) and the field radiated by the current. In the limit of low impinging intensity, nonlinear effects are negligible and the current density induced by the external field on the atomically thin medium is provided by

J (boldr) = σ {boldE}_{⊥} (r_{⊥}) δ (z)

where hereafter we set

{boldA}_{⊥} = A_{x} {bolde}_{x} + A_{y} {bolde}_{y}

for the transverse part of a vector A .…”

Section: Radiation Scattering By 2d Mediamentioning

confidence: 99%

Plasmon‐Enhanced Spin–Orbit Interaction of Light in Graphene

Ciattoni¹,

Rizza²,

Lee

et al. 2018

Laser & Photonics Reviews

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A novel theoretical framework is developed describing polariton‐enhanced spin–orbit interaction (SOI) of light on the surface of 2D media. The reduced dimensionality of the system is exploited to introduce a quantum‐like formalism particularly suitable to fully take advantage of rotational invariance. Conservation of total angular momentum upon scattering enables the physical unveiling of the interaction between radiation and the 2D material along with the detailed exchange processes among orbital and spin components. In addition, the formalism is specialized to doped extended graphene, finding such an SOI to be dramatically enhanced by the excitation of plasmons propagating radially along the graphene sheet. Several examples of the enormous possibilities offered by plasmon‐enhanced SOI of light are provided including vortex generation, mixing, and engineering of tunable deep subwavelength arrays of optical traps in the near field.

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“…This model is an extension of Onsager's reaction field model- [69] and the details of this method can be found in ref. [4].T he Wortmann-Bishop local field factors are an improvement over the anisotropic Lorenz-Lorentz [70] spherical cavity expression, widely used to calculate macroscopic NLO properties in crystals, but still falls short of the Rigorous Local Field derived by Munn and co-workers, [71] which is more accurate but computationally much more demanding.…”

Section: Calculation Of Macroscopic Optical Propertiesmentioning

confidence: 99%

On the Performance of Hybrid Functionals for Non‐linear Optical Properties and Electronic Excitations in Chiral Molecular Crystals: The Case of Butterfly‐Shaped Dicinnamalacetone

et al. 2017

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Purely organic chiral molecular assemblies in the solid state hold great potential for non‐linear optical applications. Herein, a newly synthesised molecular system is reported, namely, dicinnamalacetone, an otherwise planar molecule that crystallises in a disordered non‐centrosymmetric form with four different conformations having an overall predominance of a particular helicity. A combined experimental and theoretical approach, including single‐crystal X‐ray diffraction, Kurtz–Perry and ab initio methods, is employed to characterise the system and benchmark the performance of hybrid functionals for the prediction of non‐linear optical properties and electronic excitations. Comparison of experiment and theory points to a particular set of hybrid functionals that provides an optimal description of this molecular system.

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Classical Electrodynamics

Cited by 90 publications

References 0 publications

Manipulating the Coulomb interaction: a Green's function perspective

Manipulating the Coulomb interaction: a Green's function perspective

Plasmon‐Enhanced Spin–Orbit Interaction of Light in Graphene

On the Performance of Hybrid Functionals for Non‐linear Optical Properties and Electronic Excitations in Chiral Molecular Crystals: The Case of Butterfly‐Shaped Dicinnamalacetone

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