Angular momentum of light

Stewart, Andrew

doi:10.1080/09500340512331326832

Cited by 26 publications

(50 citation statements)

References 19 publications

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“…The general expressions given at the beginning of this paper give the correct result for plane waves [2] and have enabled the paradox associated with the boundaries of a plane wave to be resolved [4]. These results, together with those of this paper, which confirm the validity of the paraxial results (7) and (8), will enable the general expressions for angular momentum (3) and (4) to be applied with confidence to the many configurations of electromagnetic fields that are more complicated than plane or paraxial waves.…”

Section: Discussionmentioning

confidence: 94%

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Derivation of the paraxial form of the angular momentum of the electromagnetic field from the general form

Stewart

2006

Journal of Modern Optics

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Abstract.It is shown how the standard forms for the spin and orbital components of the angular momentum of a paraxial wave of electromagnetic radiation are obtained from the general expressions for the angular momentum that have been derived recently. This result will enable the general expressions for angular momentum to be applied with confidence to the many configurations of electromagnetic fields that are more complicated than plane or paraxial waves. IntroductionThe general expression for the angular momentum J(t) of the classical electromagnetic field is given in terms of the electric E(r,t) and magnetic B(r,t) Maxwell fields by [1]

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Section: Discussionmentioning

confidence: 94%

“…It has been shown elsewhere [2][3][4][5] that by expressing the electric field vector as the sum of its longitudinal and transverse components by means of the Helmholtz theorem [6] E(r,t) = ∇ × dV '…”

Section: ∫ × [E(rt) × B(rt)]mentioning

confidence: 99%

Derivation of the paraxial form of the angular momentum of the electromagnetic field from the general form

Stewart

2006

Journal of Modern Optics

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“…elsewhere [17] and will not discussed here. The first term of (3), which relates to the properties of free fields and whose divergence is zero (the transverse component of E), gives a contribution of…”

Section: Theorymentioning

confidence: 99%

“…We do this by extending our previous decomposition of the angular momentum of the electromagnetic field by means of the Helmholtz theorem [17][18][19][20] to take account of the surface integrals that inevitably arise when dealing with a wave that is of arbitrary extent such as a plane wave. In section 2 of this paper the theory is established and in section 3 the results are applied to plane waves of arbitrary polarization.…”

Section: ∫ × [E(rt) × B(rt)]mentioning

confidence: 99%

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Angular momentum of the electromagnetic field: the plane wave paradox resolved

Stewart¹

2005

Eur. J. Phys.

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Abstract.The angular momentum of a classical electromagnetic plane wave of arbitrary extent is predicted to be, on theoretical grounds, exactly zero. However, finite sections of circularly polarized plane waves are found experimentally to carry angular momentum and it is known that the contribution to the angular momentum arises from the edges of the beam. A mathematical model is described that gives a quantitative account of this effect and resolves the paradox.

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Extraordinary Light-Induced Local Angular Momentum near Metallic Nanoparticles

Alabastri¹,

Yang²,

Manjavacas

et al. 2016

ACS Nano

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The intense local field induced near metallic nanostructures provides strong enhancements for surfaceenhanced spectroscopies, a major focus of plasmonics research over the past decade. Here we consider that plasmonic nanoparticles can also induce remarkably large electromagnetic field gradients near their surfaces. Sizeable field gradients can excite dipole-forbidden transitions in nearby atoms or molecules and provide unique spectroscopic fingerprinting for chemical and bimolecular sensing. Specifically, we investigate how the local field gradients near metallic nanostructures depend on geometry, polarization, and wavelength. We introduce the concept of the local angular momentum (LAM) vector as a useful figure of merit for the design of nanostructures that provide large field gradients. This quantity, based on integrated fields rather than field gradients, is particularly well-suited for optimization using numerical grid-based full wave electromagnetic simulations. The LAM vector has a more compact structure than the gradient matrix and can be straightforwardly associated with the angular momentum of the electromagnetic field incident on the plasmonic structures.

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Angular momentum of light

Cited by 26 publications

References 19 publications

Derivation of the paraxial form of the angular momentum of the electromagnetic field from the general form

Derivation of the paraxial form of the angular momentum of the electromagnetic field from the general form

Angular momentum of the electromagnetic field: the plane wave paradox resolved

Extraordinary Light-Induced Local Angular Momentum near Metallic Nanoparticles

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