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Related papers: Paraxial spin transport using the Dirac-like parax…

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We study paraxial beam propagation along the wedge axis of a disclinated amorphous medium. The defect-induced inhomogeneity results in Berry phase and curvature that are affected by the induced uniaxial anisotropy. The Berry phase manifests…

Optics · Physics 2011-07-28 Mohammad Mehrafarin , Shima Gholam-Mirzaei

We consider the adiabatic evolution of the Dirac equation in order to compute its Berry curvature in momentum space. It is found that the position operator acquires an anomalous contribution due to the non Abelian Berry gauge connection…

High Energy Physics - Theory · Physics 2016-08-16 Alain Bérard , Herve Mohrbach

Within the framework of optical Dirac theory, we present a field-theoretical model of spin-orbit interaction and photonic spin/orbit Hall effects. Our approach reformulates light propagation along helical paths as solving the Maxwell…

Optics · Physics 2025-07-04 Lili Yang , Longlong Feng

We derive the semiclassical (with accuracy of $\hbar$) motion equation for relativistic electron, which follow from the Dirac equation. We determine both the evolution equation for electron polarization, which takes the non-Abelian Berry…

Quantum Physics · Physics 2007-05-23 K. Yu. Bliokh

We derive the semiclassical equations of motion of a transverse acoustical wave packet propagating in a phononic crystal subject to slowly varying perturbations. The formalism gives rise to Berry effect terms in the equations of motion,…

Other Condensed Matter · Physics 2015-05-13 R. Torabi , M. Mehrafarin

We investigate the propagation of electromagnetic waves through materials displaying a non-linear Hall effect. The coupled Maxwell-Boltzmann equations for traveling waves can be mapped onto ordinary differential equations that resemble…

Mesoscale and Nanoscale Physics · Physics 2024-12-06 Falko Pientka , Inti Sodemann Villadiego

We study paraxial beam propagation parallel to the screw axis of a dislocated amorphous medium that is optically weakly inhomogeneous and isotropic. The effect of the screw dislocation on the beam's orbital angular momentum is shown to…

Optics · Physics 2011-07-04 L. Mashhadi , M. Mehrafarin

We show that optical beams propagating in transversally disordered materials exhibit a spin Hall effect and a spin-to-orbital conversion of angular momentum as they deviate from paraxiality. We theoretically describe these phenomena on the…

Optics · Physics 2019-07-31 Tamara Bardon-Brun , Dominique Delande , Nicolas Cherroret

We derive the relativistic chiral transport equation for massless fermions and antifermions by performing a semiclassical Foldy-Wouthuysen diagonalization of the quantum Dirac Hamiltonian. The Berry connection naturally emerges in the…

High Energy Physics - Phenomenology · Physics 2014-10-24 Cristina Manuel , Juan M. Torres-Rincon

We consider the propagation of light in arbitrarily curved step-index optical fibers. Using a multiple-scales approximation scheme, set-up in Fermi normal coordinates, the full vectorial Maxwell equations are solved in a perturbative…

Optics · Physics 2023-06-02 Thomas Mieling , Marius A. Oancea

This paper is devoted to study the propagation of light beams carrying orbital angular momentum in optically anisotropic media. We first review some properties of homogeneous anisotropic media, and describe how the paraxial formalism is…

Optics · Physics 2015-05-28 Antonio Picón , Albert Benseny , Jordi Mompart , Gabriel F. Calvo

The propagation of electromagnetic waves in unmagnetized periodic plasma media is studied using the semiclassical wave packet approximation. The formalism gives rise to Berry effect terms in the equation of motion. The Berry effect…

Soft Condensed Matter · Physics 2024-02-28 Reza Torabi

We investigate the linear propagation of a paraxial optical beam in anisotropic media. We start from the eigenmode solution of the plane wave in the media, then subsequently derive the wave equation for the beam propagating along a general…

Optics · Physics 2015-05-14 Zhixiao Chen , Qi Guo

We study the polarization transport of transverse phonons by adopting a new approach based on the quantum mechanics of spin-orbit interactions. This approach has the advantage of being apt for incorporating fluctuations in the system. The…

Mathematical Physics · Physics 2011-07-04 Mohammad Mehrafarin , Reza Torabi

We study Gaussian wave packet solutions for Maxwell's equations in an isotropic, inhomogeneous medium and derive a system of ordinary differential equations that captures the leading-order correction to geodesic motion. The dynamical…

Analysis of PDEs · Mathematics 2026-03-31 Sam C. Collingbourne , Marius A. Oancea , Jan Sbierski

Topological spin transport of electromagnetic waves (photons) in stationary smoothly inhomogeneous isotropic medium is studied. By diagonalizing photon kinetic energy in Maxwell equations we derive the non-Abelian pure gauge potential in…

Other Condensed Matter · Physics 2007-05-23 K. Yu. Bliokh , V. D. Freilikher

We present a spin-induced none-geodesic effect of Dirac wave packets in a static uniform gravitational field. Our approach is based on the Foldy-Wouthuysen transformation of Dirac equation in a curved spacetime, which predicts the…

General Relativity and Quantum Cosmology · Physics 2023-10-27 Zhen-Lai Wang

We present a semiclassical analysis for Dirac fields on an arbitrary spacetime background and in the presence of a fixed electromagnetic field. Our approach is based on a Wentzel-Kramers-Brillouin approximation, and the results are analyzed…

General Relativity and Quantum Cosmology · Physics 2023-02-16 Marius A. Oancea , Achal Kumar

This paper analyzes theoretically the signal propagation in spin transport by modulating the current passing through magnetic multilayers. Using a macroscopic description of spin transport based on the dynamical Boltzmann equation, we show…

Other Condensed Matter · Physics 2009-11-13 Yao-Hui Zhu , Burkard Hillebrands , Hans Christian Schneider

We study Maxwell's equations in random media with small fluctuations of the electric permittivity. We consider a setup where the waves propagate toward a preferred direction, called range. We decompose the electromagnetic wave field in…

Analysis of PDEs · Mathematics 2016-01-05 Liliana Borcea , Josselin Garnier
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