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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

Wave fields obeying the 2D Helmholtz equation on branched surfaces (Sommerfeld surfaces) are studied. Such surfaces appear naturally as a result of applying the reflection method to diffraction problems with straight scatterers bearing…

Mathematical Physics · Physics 2021-02-09 Raphael C. Assier , Andrey V. Shanin

We develop the quantum theory of transverse angular momentum of light beams. The theory applies to paraxial and quasi-paraxial photon beams in vacuum, and reproduces the known results for classical beams when applied to coherent states of…

Quantum Physics · Physics 2015-05-18 Andrea Aiello , Christoph Marquardt , Gerd Leuchs

Due to the inhomogeneous polarisation across the beam profile, cylindrical vector beams interact with optically active media in a complex manner. Here, we analyse evolution of polarisation of cylindrical vector beams propagating in an…

Optics · Physics 2026-04-10 Yuanyang Xie , Alexey Krasavin , Anatoly V. Zayats , Andrei Afanasev

Transverse electron focusing in two-dimensional electron gases (2DEGs) with strong spin-orbit coupling is revisited. The transverse focusing is related to the transmission between two contacts at the edge of a 2DEG when a perpendicular…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Andres A. Reynoso , Gonzalo Usaj , C. A. Balseiro

It is proved that, according to Classical Mechanics and Electrodynamics, the trajectory of the center of mass of a neutral system of electrical charges can be deflected by an inhomogeneous magnetic field, even if its internal angular…

Quantum Physics · Physics 2007-05-23 O. Chavoya-Aceves

Orbital Angular Momentum (OAM) waves were first recognized as those specific vortex solutions of the paraxial Helmholtz equation for which the orbital contribution to the total angular momentum of the beam yields an integer multiple of…

Optics · Physics 2019-07-23 Andrea Cagliero

Complex-valued semiclassical methods hold out the promise of treating classically allowed and classically forbidden processes on the same footing. In addition, they provide a natural way to describe optical excitation with complex fields…

Quantum Physics · Physics 2017-08-23 Werner Koch , David J. Tannor

Spin waves are collective excitations of magnetic systems. An attractive setting for studying long-lived spin-wave physics is the quantum Hall (QH) ferromagnet, which forms spontaneously in clean two-dimensional electron systems at low…

Mesoscale and Nanoscale Physics · Physics 2018-11-06 Di. S. Wei , Toeno van der Sar , Seung Hwan Lee , Kenji Watanabe , Takashi Taniguchi , Bertrand I. Halperin , Amir Yacoby

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

Using the same method as that used in $e^+e^-$ annihilation and lepton-nucleon deep-inelastic scattering, we calculate the spin alignment of vector mesons with high transverse momenta in high energy $pp$ collisions with one longitudinally…

High Energy Physics - Phenomenology · Physics 2009-11-10 Qing-hua Xu , Zuo-tang Liang

In this work we study the scattering and transfer matrices for electric fields defined with respect to an angular spectrum of plane waves. For these matrices, we derive the constraints that are enforced by conservation of energy,…

Optics · Physics 2021-02-17 Niall Byrnes , Matthew R. Foreman

We demonstrate that the singular value decomposition algorithm in conjunction with the fast Fourier transform or finite difference procedures provides a straightforward and accurate method for rapidly propagating electric fields in the…

Computational Engineering, Finance, and Science · Computer Science 2020-01-28 David Yevick

Scalar field should have no spin angular momentum according to conventional understandings in classical field theory. Yet, recent studies demonstrate the undoubted existence of wave spin endowed by acoustic and elastic longitudinal waves,…

Classical Physics · Physics 2023-05-10 Shuo Xin , Jie Ren

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

Position-deformed Heisenberg algebra with maximal length uncertainty has recently been proven to induce strong quantum gravitational fields at the Planck scale (2022 J. Phys. A: Math. Theor.55 105303). In the present study, we use the…

High Energy Physics - Theory · Physics 2022-05-02 Latévi M. Lawson , Prince K. Osei , Komi Sodoga , Fred Soglohu

Using the Landau Fermi liquid theory we have discovered a new regime for the propagation of spin waves in a quasi-equilibrium spin systems. We have determined the dispersion relation for the transverse spin waves and found that one of the…

Strongly Correlated Electrons · Physics 2009-11-11 Kevin S. Bedell , Hari P. Dahal

Twisted, or vortex, particles refer to freely propagating non-plane-wave states with helicoidal wave fronts. In this state, the particle possesses a non-zero orbital angular momentum with respect to its average propagation direction.…

High Energy Physics - Phenomenology · Physics 2020-05-20 Igor P. Ivanov , Nikolai Korchagin , Alexandr Pimikov , Pengming Zhang

New splitting theorems in a semi-Riemannian manifold which admits an irrotational vector field (not necessarily a gradient) with some suitable properties are obtained. According to the extras hypothesis assumed on the vector field, we can…

Differential Geometry · Mathematics 2007-05-23 Manuel Gutierrez , Benjamin Olea

The inner structure of the {\gamma}{\epsilon}-formalisms of Infeld and van der Waerden admits the occurrence of spin-tensor electromagnetic fields which bear invariance under the action of the generalized Weyl gauge group. A concise…

Mathematical Physics · Physics 2012-01-27 J. G. Cardoso