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A symmetry analysis is presented for the three-dimensional nonrelativistic motion of charged particles in arbitrary stationary electromagnetic fields. The general form of the Lie point symmetries is found along with the fields that respect…

Mathematical Physics · Physics 2015-06-15 Nikos Kallinikos , Efthymia Meletlidou

Optical aberrations have been studied for centuries, placing fundamental limits on the achievable resolution in focusing and imaging. In the context of structured light, the spatial pattern is distorted in amplitude and phase, often arising…

We study the spatial coherence properties of optical vortices generated by partially incoherent light in self-focusing nonlinear media. We reveal the existence of phase singularities in the spatial coherence function of a vortex field that…

Pattern Formation and Solitons · Physics 2007-05-23 Kristian Motzek , Yuri S. Kivshar , Grover A. Swartzlander

Using full-wave numerical simulations and analytical multipole expansions we investigated the properties of real-space polarization singularities that emerge in light scattering by subwavelength particles. We considered spherical and torus…

Optics · Physics 2021-02-18 Jie Peng , Wei Liu , Shubo Wang

Vortices in electron beams can manifest several types of topological phenomena, such as the formation of exotic structures or interactions with topologically structured electromagnetic fields. For instance, the wavefunction of an electron…

Vector polarization induced by a change in scalar phase has been far beyond our understanding of the relationship between polarization and phase in classical optics due to the entanglement of inherent polarized modes of light beams. To…

Nearly all field theories suffer from singularities when particles are introduced. This is true in both classical and quantum physics. Classical field singularities result in the notorious self-force problem, where it is unknown how the…

Classical Physics · Physics 2015-12-01 Yaron Hadad , Eliahu Cohen , Ido Kaminer , Avshalom C. Elitzur

Symmetry governs many electronic and photonic phenomena in optics and condensed matter physics. Skyrmions and merons are prominent topological structures in magnetic materials, with the topological features determined by the interplay…

In a coherent monoenergetic beam of non-interacting particles, the phase velocity and the particle transport velocity are functions of position, with the strongest variation being in the focal region. These velocities are everywhere…

Optics · Physics 2009-11-10 John Lekner

Electromagnetic phenomena are mathematically described by solutions of boundary value problems. For exploiting symmetries of these boundary value problems in a way that is offered by techniques of dimensional reduction, it needs to be…

Numerical Analysis · Mathematics 2020-04-20 Marcus Christian Lehmann , Mirsad Hadžiefendić , Albert Piwonski , Rolf Schuhmann

We introduce the concept of emergent electric field. This is distinguished from the fundamental one in that the emergent electric field directly appears in observations through the Lorentz force, while the latter enters the phase space as…

General Relativity and Quantum Cosmology · Physics 2024-11-05 Erick I. Duque

Plasmonics, the science and technology of the interaction of light with metallic objects, is fundamentally changing the way we can detect, generate and manipulate light. Although the field is progressing swiftly, thanks to the availability…

Electromagnetic waves characterized by intensity, phase, and polarization degrees of freedom are widely applied in data storage, encryption, and communications. However, these properties can be substantially affected by phase disorders and…

Optics · Physics 2023-09-26 Peng Shi , Min Lin , Xinxin Gou , Luping Du , Aiping Yang , Xiaocong Yuan

There are a variety of nonlinear optical effects including higher harmonic generations, photovoltaic effects, and nonlinear Kerr rotations. They are realized by the strong light irradiation to materials that results in nonlinear…

Mesoscale and Nanoscale Physics · Physics 2016-05-26 Takahiro Morimoto , Naoto Nagaosa

Light scattering in random media is usually considered within the framework of the three-dimensional Anderson universality class, with modifications for the vector nature of electromagnetic waves. We propose that the linear dispersiveness…

Disordered Systems and Neural Networks · Physics 2025-08-05 Tobias Micklitz , Alexander Altland

Polarization- and wavelength-sensitive absorbers for homogeneous electromagnetic waves are crucial in photovoltaics, imaging and telecommunications. Here, we report on an absorber selective to the topological structure of light. An…

Optics · Physics 2025-09-16 Luka Vignjevic , Eric Plum , Nikitas Papasimakis , Nikolay I Zheludev

It was recently realized that the polarization bases of the plane-wave modes in the integral representation of a light beam need to be determined by a degree of freedom arising from the divergence-free Maxwell's equation. This is a…

Optics · Physics 2020-07-02 Chun-Fang Li

The central idea of metamaterials and metaoptics is that, besides their base materials, the geometry of structures offers a broad extra dimension to explore for exotic functionalities. Here, we discover that the topology of structures…

Optics · Physics 2023-06-21 Jie Peng , Ruo-Yang Zhang , Shiqi Jia , Wei Liu , Shubo Wang

The space-time curvature carried by electromagnetic fields is discovered and a new unification of geometry and electromagnetism is found. Curvature is invariant under charge reversal symmetry. Electromagnetic field equations are examined…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. W. M. Woodside

Light beams having a vectorial field structure - or polarization - that varies over the transverse profile and a central optical singularity are called vector-vortex (VV) beams and may exhibit specific properties, such as focusing into…

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