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Geometric phases are a universal concept that underpins numerous phenomena involving multi-component wave fields. These polarization-dependent phases are inherent in interference effects, spin-orbit interaction phenomena, and topological…

Optics · Physics 2019-11-12 Konstantin Y. Bliokh , Miguel A. Alonso , Mark R. Dennis

Geometric phase has historically been defined using closed cycles of polarization states, often derived using differential geometry on the Poincare sphere. Using the recently-developed wave model of geometric phase, we show that it is…

Optics · Physics 2024-07-30 Nathan Hagen , Luis Garza-Soto

The geometric phase of light is a fascinating phenomenon in optics and arises whenever there is a change in the polarization state of light. It is a fundamentally well-established concept and has recently found extensive applications,…

Optics · Physics 2026-02-03 A. Srinivasa Rao

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 dielectric property $(2\times2)$ of the anisotropic optical medium is found out considering the polarized photon as two component spinor of spherical harmonics.The Geometric Phase of single polarized photon has been evaluated in two…

Optics · Physics 2015-06-26 Dipti Banerjee

A new approach to polarization algebra is introduced. It exploits the geometric properties of spinors in order to represent wave states consistently in arbitrary directions in three dimensional space. In this first expository paper of an…

Optics · Physics 2008-04-07 David Bebbington , Laura Carrea , Ernst Krokager

Geometric phase, owing to its topological nature and properties of fault tolerance, plays an important role in devising real world applications in both classical and quantum domain. For classical systems, geometric phase has been observed…

Optics · Physics 2020-07-17 Bhaskar Kanseri , Rohit Gupta

Optical vortex beam of fractional order is generated by the diffraction of a Gaussian beam using computer generated hologram embedded with mixed screw-edge dislocation. Unfolding of the generated fractional vortex beam into…

Optics · Physics 2019-06-06 Satyajit Maji , Aswini K. Pattanayak , Maruthi M. Brundavanam

Geometric phases are ubiquitous in physics; they act as memories of the transformation of a physical system. In optics, the most prominent examples are the Pancharatnam-Berry phase and the spin-redirection phase. Recent technological…

Optics · Physics 2022-07-26 C. M. Cisowski , J. B. Götte , S. Franke-Arnold

The geometric phase is a universal concept in modern physics and has enabled the development of metasurfaces for versatile wavefront shaping. However, its realization in metasurfaces has been restricted to circularly polarized light,…

Optics · Physics 2025-11-11 Yubin Gao , Qikai Chen , Yaoguang Ma

The phases are the main factor that affects the outcome of various optical phenomena, such as quantum superposition, wave interference, and light-matter interaction. As a light wave becomes nonstatic, an additional phase, the so-called…

Quantum Physics · Physics 2024-07-08 Jeong Ryeol Choi

We present a study of geometric phases in classical wave and polarisation optics using the basic mathematical framework of quantum mechanics. Important physical situations taken from scalar wave optics, pure polarisation optics, and the…

Optics · Physics 2015-06-18 N. Mukunda , S. Chaturvedi , R. Simon

The polarization matrix ($2\times2$) obtained from two component eigen-spinors of spherical harmonics help us to evaluate the differential matrix $N$ of the anisotropic optical medium. The geometric phase is realized through {\it helicity}…

Optics · Physics 2007-05-23 Dipti Banerjee

Geometric phase phenomena in single neutrons have been observed in polarimeter and interferometer experiments. Interacting with static and time dependent magnetic fields, the state vectors acquire a geometric phase tied to the evolution…

We study here fractional orbital angular momentum (OAM) states in electron vortex beams (EVB) from the perspective of geometric phase. We have considered the skyrmionic model of an electron, where it is depicted as a scalar electron…

Mesoscale and Nanoscale Physics · Physics 2017-01-18 Pratul Bandyopadhyay , Banasri Basu , Debashree Chowdhury

We predict a geometric quantum phase shift of a moving electric dipole in the presence of an external magnetic field at a distance. On the basis of the Lorentz-covariant field interaction approach, we show that a geometric phase appears…

Quantum Physics · Physics 2018-04-04 Kang-Ho Lee , Young-Wan Kim , Kicheon Kang

The concept of geometric phase was applied to initiate the geometric-phase portrayal of electromagnetic scattering by a three-dimensional object in free space. Whereas the incident electromagnetic field is that of an arbitrarily polarized…

Optics · Physics 2026-02-10 Akhlesh Lakhtakia

We use the quantum kinematic approach to revisit geometric phases associated with polarizing processes of a monochromatic light wave. We give the expressions of geometric phases for any, unitary or non-unitary, cyclic or non-cyclic…

Optics · Physics 2015-02-17 J. Lages , R. Giust , J. -M. Vigoureux

The geometric phase of a bi-particle model is discussed. For different initial states, especially when the initial state is pure or mixed, the geometric phase will show different properties. The relationship between the geometric phase and…

Quantum Physics · Physics 2009-11-13 Guo-Qiang Zhu

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…

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