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Related papers: Geometrical Spinoptics and the Optical Hall Effect

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Spin-orbit interactions (SOI) are a set of sub-wavelength optical phenomenon in which spin and spatial degrees of freedom of light are intrinsically coupled. One of the unique example of SOI, spin-Hall effect of light (SHEL) has been an…

Optics · Physics 2021-02-03 Diptabrata Paul , Deepak K. Sharma , G. V. Pavan Kumar

Geometric phases play an enormous role in optics and are generally associated with the evolution of light's polarization state on the Poincar\'{e} sphere, or its spin on the sphere of spin directions. Here we put forward a new kind of…

Optics · Physics 2026-04-28 Alex J. Vernon , Konstantin Y. Bliokh

Geometrical and dynamical phase have competing effects as far a scattering of light form inhomogeneous anisotropic optical medium is concerned. If fine-tuned appropriately, these effects can completely cancel each other for a chosen spin…

Optics · Physics 2020-09-28 Ankit Kumar Singh , Antariksha Das , Sourin Das , Nirmalya Ghosh

For light, its spin can be independent of the spatial distribution of its wave function, whereas its intrinsic orbital angular momentum does depend on this distribution. This difference suggests that the spin Hall effect might differ from…

Optics · Physics 2025-01-29 Wei-Si Qiu , Li-Li Yang , Dan-Dan Lian , Peng-Ming Zhang

A nonrelativistic quantum mechanical particle moving freely on a curved surface feels the effect of the nontrivial geometry of the surface through the kinetic part of the Hamiltonian, which is proportional to the Laplace-Beltrami operator,…

Quantum Physics · Physics 2018-10-09 Neslihan Oflaz , Ali Mostafazadeh , Mehrdad Ahmady

We investigated the modulation in the polarization-dependent optical behaviour of the waveguiding plasmonic crystal by varying the illumination and detection geometry. We employed the finite element method-based COMSOL simulation and…

It is demonstrated both theoretically and experimentally that the spin chirality associated with a noncoplanar spin configuration produces a magneto-optical effect. Numerical study of the two-band Hubbard model on a triangle cluster shows…

Strongly Correlated Electrons · Physics 2016-08-16 I. Kézsmárki , S. Onoda , Y. Taguchi , T. Ogasawara , M. Matsubara , S. Iguchi , N. Hanasaki , N. Nagaosa , Y. Tokura

We consider here a generalization of a well known discrete dynamical system produced by the bisection of reflection angles that are constructed recursively between two lines in the Euclidean plane. It is shown that similar properties of…

Dynamical Systems · Mathematics 2009-02-03 Nikolai A. Krylov , Edwin L. Rogers

The Euclidean scattering transform was introduced nearly a decade ago to improve the mathematical understanding of convolutional neural networks. Inspired by recent interest in geometric deep learning, which aims to generalize convolutional…

Machine Learning · Statistics 2023-07-26 Michael Perlmutter , Feng Gao , Guy Wolf , Matthew Hirn

The geodesic equations for optical media whose refractive indices have a non-vanishing gradient are developed. It is shown that when those media are optically isotropic, the light paths will be mull geodesics of a spatial metric that is…

General Relativity and Quantum Cosmology · Physics 2020-02-21 D. H. Delphenich

The aim of this work is to prove that it is possible to realise an optical system which produces as output a light intensity that can be expressed in the same mathematical form of the spin glass Hamiltonian. The optical system under study…

Disordered Systems and Neural Networks · Physics 2020-10-27 Erik Hörmann

It is shown that the geometrical optics limit of the Maxwell equations for certain nonlinear media with slow variation along one axis and particular dependence of dielectric constant on the frequency and fields gives rise to the…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Boris G. Konopelchenko , Antonio Moro

Based on transformation optics, we introduce another set of generalized laws of reflection and refraction (differs from that of [Science 334, 333 (2011)]), through which a transformation media slab is derived as a meta-surface, producing…

Optics · Physics 2015-06-04 Yadong Xu , Kan Yao , Huanyang Chen

Tunable directional scattering is of paramount importance for operation of antennas, routing of light, and design of topologically protected optical states. For visible light scattered on a nanoparticle the directionality could be provided…

Optics · Physics 2019-01-23 A. V. Poshakinskiy , A. N. Poddubny

Mimicking the description of spinning particles in General Relativity, the Fermat Principle is extended to spinning photons. Linearization of the resulting Papapetrou-Souriau type equations yields the semiclassical model used recently to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Duval , Z. Horvathy , P. A. Horvathy

In this paper we discuss propagation of the weak high-frequency gravitational waves in a curved spacetime background. We develop a so-called spinoptics approximation which takes into account interaction of the spin of the field with the…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Valeri P. Frolov , Andrey A. Shoom

We discuss the geometrical optics of coincidence imaging for two kinds of spatial correlations which are related to a classical thermal light source and a two-photon quantum entangled state.

Quantum Physics · Physics 2009-11-10 De-Zhong Cao , Jun Xiong , Kaige Wang

As an approximate theory that is highly regarded for its computational efficiency, geometrical optics (GO) is widely used for modeling waves in various areas of physics. However, GO fails at caustics, which significantly limits its…

Optics · Physics 2021-03-09 N. A. Lopez , I. Y. Dodin

The edge diffraction of a homogeneously polarized light beam is studied theoretically based on the paraxial optics and Fresnel-Kirchhoff approximation, and the dependence of the diffracted beam pattern of the incident beam polarization is…

Optics · Physics 2017-08-02 Aleksandr Ya. Bekshaev

The helicity modification of light polarization which is induced by the gravitational deflection from a classical heavy rotating body, like a star or a planet, is considered. The expression of the helicity asymmetry is derived; this…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Enore Guadagnini
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