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Known methods for transverse confinement and guidance of light can be grouped into a few basic mechanisms, the most common being metallic reflection, total internal reflection and photonic-bandgap (or Bragg) reflection. All of them…

The semiclassical evolution of spinning particles has recently been re-examined in condensed matter physics, high energy physics, and optics, resulting in the prediction of the intrinsic spin Hall effect associated with the Berry phase. A…

Optics · Physics 2008-11-30 K. Y. Bliokh , A. Niv , V. Kleiner , E. Hasman

Light carries both longitudinal and transverse spin angular momentum. The spin can couple with its orbital counterpart via the Berry phase, known as the spin-orbit interaction (SOI) of light. The SOI of light discovered previously belongs…

Optics · Physics 2023-06-16 Tong Fu , Jiaxin Lin , Yuhao Xu , Junji Jia , Yonglong Wang , Shunping Zhang , Hongxing Xu

Quantum eigenstates undergoing cyclic changes acquire a phase factor of geometric origin. This phase, known as the Berry phase, or the geometric phase, has found applications in a wide range of disciplines throughout physics, including…

Quantum Physics · Physics 2010-09-13 J. M. Robbins

We describe a novel phenomenon occurring when a polarized Gaussian beam of light is observed in a Cartesian reference frame whose axes are not parallel to the direction of propagation of the beam. Such phenomenon amounts to an intriguing…

Quantum Physics · Physics 2009-02-27 Andrea Aiello , Christoph Marquardt , Gerd Leuchs

Geometrical optics is extended so as to provide a model for spinning light rays via the coadjoint orbits of the Euclidean group characterized by color and spin. This leads to a theory of ``geometrical spinoptics'' in refractive media.…

Mathematical Physics · Physics 2015-06-26 Christian Duval , Zalan Horvath , Peter Horvathy

We derive the semiclassical equation of motion for the wave-packet of light taking into account the Berry curvature in the momentum space. This equation naturally describes the interplay between the orbital and spin angular momenta, i.e.,…

Other Condensed Matter · Physics 2009-11-10 Masaru Onoda , Shuichi Murakami , Naoto Nagaosa

We construct a semiclassical theory for propagation of an optical wavepacket in non-conducting media with periodic structures of dielectric permittivity and magnetic permeability, i.e., non-conducting photonic crystals. We employ a…

Optics · Physics 2008-11-26 Masaru Onoda , Shuichi Murakami , Naoto Nagaosa

We review the geometrical-optics evolution of an electromagnetic wave propagating along a curved ray trajectory in a gradient-index dielectric medium. A Coriolis-type term appears in Maxwell equations under transition to the rotating…

Optics · Physics 2009-09-19 Konstantin Y. Bliokh

An electric field propagating along a non-planar path can acquire geometric phases. Previously, geometric phases have been linked to spin redirection and independently to spatial mode transformation, resulting in the rotation of…

Physical mechanism for the geometric phase in terms of angular momentum exchange is elucidated. It is argued that the geometric phase arising out of the cyclic changes in the tranverse mode space of the Gaussian light beams is a…

Quantum Physics · Physics 2015-06-26 S C Tiwari

The geometric Spin Hall Effect of Light (geometric SHEL) amounts to a polarization-dependent positional shift when a light beam is observed from a reference frame tilted with respect to its direction of propagation. Motivated by this…

The propagation of electromagnetic waves in an unmagnetized weakly inhomogeneous cold plasma is examined. We show that the inhomogeneity induces a gauge connection term in wave equation, which gives rise to Berry effects in the dynamics of…

Plasma Physics · Physics 2015-06-05 Reza Torabi , Mohammad Mehrafarin

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

The spin Hall effect of light (SHEL) is the photonic analogue of spin Hall effects occurring for charge carriers in solid-state systems. Typical examples of this intriguing phenomenon occur when a light beam refracts at an air-glass…

A quantum object can accumulate a geometric phase when it is driven along a trajectory in a parameterized state space with non-trivial gauge structures. Inherent to quantum evolutions, a system can not only accumulate a quantum phase but…

Mesoscale and Nanoscale Physics · Physics 2014-06-13 Fan Yang , Ren-Bao Liu

The paper develops a modified geometrical optics (GO) of smoothly inhomogeneous isotropic medium, which takes into account two topological phenomena: Berry phase and the optical Magnus effect. By using the analogy between a quasi-classical…

Optics · Physics 2009-11-10 K. Yu. Bliokh , Yu. P. Bliokh

Photovoltaic Hall effect, i.e., generation of a photocurrent perpendicular to the bias electric field, is an interesting platform of Berry curvature engineering by external fields. Floquet engineering aims at generation of light-induced…

Materials Science · Physics 2026-03-04 Yuta Murotani , Tomohiro Fujimoto , Ryusuke Matsunaga

When a dynamic system undergoes a cyclic evolution, a geometric phase that depends only on the path traversed in parameter space can arise in addition to the normal dynamical phase. These geometric phases have profound impacts in both…

Classical Physics · Physics 2018-02-22 Shubo Wang , Guancong Ma , C. T. Chan

Photovoltaic Hall effect is an interesting platform of Berry curvature engineering by external fields. Floquet engineering aims at generation of light-induced Berry curvature associated with topological phase transition in solids, which may…

Materials Science · Physics 2026-03-04 Yuta Murotani , Tomohiro Fujimoto , Ryusuke Matsunaga
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