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We report theoretical calculations and experimental observations of Pancharatnam's phase originating from arbitrary SU(2) transformations applied to polarization states of light. We have implemented polarimetric and interferometric methods…

Quantum Physics · Physics 2015-10-14 J. C. Loredo , O. Ortíz , R. Weingärtner , F. De Zela

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

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

The geometric phase is usually treated as a quantity modulo 2\pi, a convention carried over from early work on the subject. The results of a series of optical interference experiments involving polarization of light, done by the present…

Optics · Physics 2015-06-26 Rajendra Bhandari

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

In this study, we observe the nonlinear behavior of the two-photon geometric phase for polarization states using time-correlated photons pairs. This phase manifests as a shift of two-photon interference fringes. Under certain arrangements,…

Quantum Physics · Physics 2011-12-05 H. Kobayashi , Y. Ikeda , S. Tamate , T. Nakanishi , M. Kitano

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

While polarisation sensing is vital in many areas of research, with applications spanning from microscopy to aerospace, traditional approaches are limited by method-related error amplification or accumulation, placing fundamental…

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

We present and implement a method for the experimental measurement of geometric phase of non-geodesic (small) circles on any SU(2) parameter space. This phase is measured by subtracting the dynamic phase contribution from the total phase…

Optics · Physics 2023-05-12 Andrew A. Voitiv , Mark T. Lusk , Mark E. Siemens

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

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

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 present a method to measure the geometric phase defined for three internal states of a photon (polarizations) using a three-pinhole interferometer. From the interferogram, we can extract the geometric phase related to the three-vertex…

Quantum Physics · Physics 2011-03-18 H. Kobayashi , S. Tamate , T. Nakanishi , K. Sugiyama , M. Kitano

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

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

We demonstrate a polarimetry technique based on geometric phase measurements. The technique can be used to obtain either the polarization state of a light beam or the properties of a polarizing optical system. On the one hand, we apply our…

The response of a pair of differently polarized antennas is determined by their polarization states AND a phase between them which has a geometric part which becomes discontinuous at singular points in the parameter space. Such phase…

Astrophysics · Physics 2016-08-30 Rajendra Bhandari

We present a practical implementation of a phase-coherent mapping technique for pulsar timing arrays that resolves the full complex polarisation state of the gravitational-wave sky as a function of direction and frequency. Unlike standard…

High Energy Astrophysical Phenomena · Physics 2026-04-22 Małgorzata Curyło , Eric Thrane , Paul D. Lasky , Dawson S. Gaynor

This paper describes polarimetric strategies based on measuring the light's geometric phase, which results from the evolution of the polarisation state while traversing an optical system. The system in question is described by a homogeneous…

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