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This memo contains a collection of formulas describing the electromagnetic energy, momentum and spin distribution of an optical field formed in dielectric media separated by a plane interface when an incident monochromatic plane wave is…

Optics · Physics 2017-12-05 Aleksandr Bekshaev

Spatially inhomogeneous fields of electromagnetic guided modes exhibit a complex of extraordinary dynamical properties such as the polarization-dependent transverse momentum, helicity-independent transverse spin, spin-associated…

Optics · Physics 2021-12-30 Aleksandr Bekshaev

Angular momentum densities of electromagnetic beams are connected to helicity (circular polarization) and topological charge (azimuthal phase shift and vorticity). Computing the electromagnetic fields emitted by a circular antenna array,…

Classical Physics · Physics 2009-04-30 H. Then , B. Thidé

Polarization, spin, and helicity are important properties of electromagnetic waves. It is commonly believed that helicity is invariant under the Lorentz transformations. This is indeed so for plane waves and their localized superpositions.…

Optics · Physics 2018-05-08 Konstantin Y. Bliokh

We examine the momentum, spin, and orbital angular momentum of structured monochromatic optical fields in dispersive inhomogeneous isotropic media. There are two bifurcations in this general problem: the Abraham-Minkowski dilemma and the…

Optics · Physics 2017-08-22 Konstantin Y. Bliokh , Aleksandr Y. Bekshaev , Franco Nori

Electromagnetic quantities such as energy density, momentum, spin, and helicity bring meaning and intuition to electromagnetism and possess intricate interrelations, particularly prominent in complex non-paraxial near-fields. These…

We present arguments in favor of the proposition that the momentum of light inside a transparent dielectric medium is the arithmetic average of the Minkowski and Abraham momenta. Using the Lorentz transformation of the fields (and of the…

Optics · Physics 2012-07-27 Masud Mansuripur

The long-standing resolution of the Abraham--Minkowski electromagnetic momentum controversy is predicated on a decomposition of the total momentum of a closed continuum electrodynamic system into separate field and matter components. Using…

Optics · Physics 2013-10-22 Michael E. Crenshaw

Momentum and spin represent fundamental dynamical properties of quantum particles and fields. In particular, propagating optical waves (photons) carry momentum and longitudinal spin determined by the wave vector and circular polarization,…

Optics · Physics 2014-03-25 Konstantin Y. Bliokh , Aleksandr Y. Bekshaev , Franco Nori

Period-averaged electromagnetic spin angular momentum is a well-established quantity for monochromatic fields, governing phenomena such as light-matter interactions with chiral particles and spin-orbit coupling effects. In contrast, the…

In a set of two papers, we propose to study an old-standing problem, namely the electromagnetic interaction for particles of arbitrary spin. Based on the assumption that light-cone helicity at tree level and $Q^2=0$ should be conserved…

High Energy Physics - Phenomenology · Physics 2009-01-28 Cédric Lorcé

Optical helicity density is usually discussed for monochromatic electromagnetic fields in free space. It plays an important role in the interaction with chiral molecules or nanoparticles. Here we introduce the optical helicity density in a…

Optics · Physics 2018-06-19 F. Alpeggiani , K. Y. Bliokh , F. Nori , L. Kuipers

Magnetism primarily describes the physics and materials science of systems presenting a magnetization -- a macroscopic order parameter characterizing electron angular momentum. The order parameter is associated with the electronic exchange…

Mesoscale and Nanoscale Physics · Physics 2018-10-11 Andrew D. Kent , Hendrik Ohldag , Herrmann Dürr , Jonathan Z. Sun

We calculate analytically the spin-orbital decomposition of the angular momentum using completely non-paraxial fields that have certain degree of linkage of electric and magnetic lines. The split of the angular momentum into spin-orbital…

Optics · Physics 2018-09-26 M Arrayás , J L Trueba

Waves of various types carry momentum, which is associated with their propagation direction, i.e., the phase gradient. The circulation of the wave momentum density gives rise to orbital angular momentum (AM). Additionally, for waves…

Optics · Physics 2025-10-17 Konstantin Y. Bliokh

An important issue in phenomenological macroscopic electrodynamics of moving media is the definition of the energy and momentum of the electromagnetic field in matter. Rather surprisingly, this topic has demonstrated a remarkable longevity,…

Optics · Physics 2022-08-24 Yuri N. Obukhov

A relativistic electron uniformly rotating along an equatorial orbit around a dielectric ball may generate Cherenkov radiation tens of times more intense as that in case of revolution of a particle in a continuous, infinite and transparent…

Classical Physics · Physics 2010-07-19 S. R. Arzumanyan , L. Sh. Grigoryan , H. F. Khachatryan , M. L. Grigoryan

Electromagnetic waves are described by not only polarization ellipses but also cyclically rotating vectors tracing out them. The corresponding fields are respectively directionless steady line fields and directional instantaneous vector…

Optics · Physics 2025-02-18 Chunchao Wen , Jianfa Zhang , Chaofan Zhang , Shiqiao Qin , Zhihong Zhu , Wei Liu

We defend a natural division of the energy density, energy flux and momentum density of electromagnetic waves in linear media in electromagnetic and material parts. In this division, the electromagnetic part of these quantities have the…

Optics · Physics 2011-04-27 Pablo L. Saldanha

This article reviews the static and dynamic properties of spontaneous superstructures formed by electrons. Representations of such electronic crystals are charge density waves and spin density waves in inorganic as well as organic low…

Strongly Correlated Electrons · Physics 2013-07-04 Pierre Monceau
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