Orbital and spin parts of energy currents for electromagnetic waves through spatially inhomogeneous media

Lee, Hyoung-In; Mok, Jinsik

doi:10.1080/09500340.2017.1423407

Cited by 6 publications

(9 citation statements)

References 32 publications

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“…These formulas constitute a coherent system of relations consistently describing the spatial distributions of the electromagnetic energy, momentum and spin of the SPP fields, thus providing a set of analytical instruments which can be useful in various SPP applications. Importantly, the dynamical characteristics' representations obtained demonstrate a complete consistency and absence of hardly interpretable singularities; the canonical (spin-orbital) decomposition of the field momentum in a highly inhomogeneous SPP-supporting system is performed without additional terms caused by the medium inhomogeneity that are typical for earlier attempts based on the Abraham approach [7,17,48]. The possibility of the 'neat' spin-orbital decomposition under spatially inhomogeneous conditions is, in fact, a feature of the Minkowski momentum [22][23][24]49], and it is inherited, in part, by the dispersion-modified quantities.…”

Section: Discussionmentioning

confidence: 81%

Electromagnetic dynamical characteristics of a surface plasmon-polariton

Bekshaev

Mikhaylovskaya

2019

Optik

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We consider an electromagnetic field near the interface between two media with arbitrary real frequency-dependent permittivities and permeabilities, under conditions supporting the surface plasmon-polariton (SPP) propagation. The dispersion of the electric and magnetic properties is taken into account based on the recent approach for description of the spin and momentum of electromagnetic field in complex media [Phys. Rev. Lett. 119, 073901 (2017); New J. Phys., 19, 123014 (2017)]. It involves the Minkowski momentum decomposition into spin and orbital parts with the dispersion-modified permittivities and permeabilities. Explicit expressions are derived for spatial densities of the energy, energy flow, spin and orbital momenta and angular momenta of the transverse-magnetic (TM) SPP field. The expressions are free from nonphysical singularities; the only singular contribution describes a strictly localized surface part of the spin momentum that can be associated with the magnetization current in the conductive component of the SPP-supporting structure. On this ground, a phenomenological theory of the SPP-induced magnetization (predicted earlier based on the simplified microscopic approach) is outlined. Possible modifications and generalizations, including the transverse-electric (TE) SPP waves, are discussed. IntroductionDuring the past decades, a significant interest has been attracted to the study of localized optical fields associated with interfacial regions between nanostructured metals and dielectrics [1][2][3][4][5][6]. Especially, the running evanescent surface waves (surface plasmon-polaritons, SPP) are intensively investigated in connection with the optical nano-probing and precise optical manipulation. Additionally, the SPP fields pave new ways for the light wave-guiding, switching and controlling by sub-wavelength elements, which is crucial for further microminiaturizing of optical information devices and systems. Many applications are stimulated by the unique dynamical properties of the evanescent waves and SPPs, in particular, the transverse spin and momentum [7-9], the special spin-momentum locking [9,10], nonreciprocity and unidirectional propagation [9][10][11][12].Earlier, the wide application of SPP-based techniques was restricted by the rather special requirements to materials that support efficient SPP generation and propagation [2][3][4][5]. However, with advent of a novel class of engineered composite materials, including the metamaterials, lefthanded materials, sculptured films, etc. [4,[13][14][15][16], almost any combination of the electric and magnetic parameters in the optical frequency range is becoming available [4,10,[17][18][19], which offers additional and unexpected possibilities for the research and applications. As a rule, exclusive properties of new materials are accompanied by the strong dispersion (frequency dependence of the

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Section: Discussionmentioning

confidence: 81%

Electromagnetic dynamical characteristics of a surface plasmon-polariton

Bekshaev

Mikhaylovskaya

2019

Optik

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“…This is a special property of the Minkowski momentum [52]. Corresponding decomposition for the Abraham momentum contains poorly interpretable "gradient terms" depending on ∇ε and ∇µ [52][53][54][55] (and this is an additional argument for the Minkowski vision, together with the recent relativistic reasoning based on the wavepacket propagation analysis) [46][47][48][49].…”

Section: Dynamical Characteristics Of Structured Optical Fields Genermentioning

confidence: 99%

“…whose real and imaginary parts are orthogonal, Im k⊥ Re k (see Figure 7A). For example, an EW of the forms (55) and (56) is formed in the half-space x > 0 if the plane x = 0 separates it from the homogeneous medium with parameters ε 1 and µ 1 (Figure 7A) so that n 1 = √ ε 1 µ 1 > n, and the plane wave (53) approaches the interface from x < 0 at an angle θ 1 ; then,…”

Section: Evanescent Waves: Extraordinary Spin and Momentummentioning

confidence: 99%

“…In the non-dispersive situation, immediate substitution of Equations (55) and (56) into Equations (9) and (13) yields expressions for the energy and momentum densities:…”

Section: Evanescent Waves: Extraordinary Spin and Momentummentioning

confidence: 99%

“…The main feature of Equation 65is the transverse direction of the "extraordinary" momentum p S⊥ ∝ e y (see Figures 7A,D), which can produce the extraordinary y-directed force ( Figure 7E) [50,63,96] (note that the mechanical action of an EW can be calculated using the classical Mie scattering theory adapted to plane-wave fields (53) rotated through a complex angle, see Equations (55), (56) [96]). This transverse force, again, seemingly contradicts the system symmetry with respect to the (xz)-plane.…”

Section: Evanescent Waves: Extraordinary Spin and Momentummentioning

confidence: 99%

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Structured Light: Ideas and Concepts

et al. 2020

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The paper briefly presents some essential concepts and features of light fields with strong spatial inhomogeneity of amplitude, phase, polarization, and other parameters. It contains a characterization of optical vortices, speckle fields, polarization singularities. A special attention is paid to the field dynamical characteristics (energy, momentum, angular momentum, and their derivatives), which are considered not only as mechanical attributes of the field but also as its meaningful and application-oriented descriptive parameters. Peculiar features of the light dynamical characteristics in inhomogeneous and dispersive media are discussed. The dynamical properties of paraxial beams and evanescent waves (including surface plasmon-polaritons) are analyzed in more detail; in particular, a general treatment of the extraordinary spin and momentum, orthogonal to the main propagation direction, is outlined. Applications of structured light fields for optical manipulation, metrology, probing, and data processing are described.

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How Backward Poynting Flows Arise for Surface Plasmon Waves with Lossy Metals

Lee

Mok

2019

Plasmonics

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Orbital and spin parts of energy currents for electromagnetic waves through spatially inhomogeneous media

Cited by 6 publications

References 32 publications

Electromagnetic dynamical characteristics of a surface plasmon-polariton

Electromagnetic dynamical characteristics of a surface plasmon-polariton

Structured Light: Ideas and Concepts

How Backward Poynting Flows Arise for Surface Plasmon Waves with Lossy Metals

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