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A splitting of modes in a circular graded-index optical fiber is demonstrated by solving the full Maxwell equations using the perturbation analysis. It is shown that the degeneracy of vortex Laguerre-Gauss modes with distinct orbital…

Optics · Physics 2016-04-13 Nikolai I. Petrov

Spatial field correlation functions represent a key quantity for the description of mesoscopic phenomena in disordered media and the optical characterization of complex materials. Yet many aspects related to the vector nature of light waves…

Optics · Physics 2014-02-03 Kevin Vynck , Romain Pierrat , Rémi Carminati

An experiment is proposed to show that after initial frequency and polarization selection, classical thermal light from two independent sources can be made path-polarization entangled. Such light will show new intensity-intensity…

Quantum Physics · Physics 2014-01-06 Partha Ghose , Anirban Mukherjee

States of light encoding multiple polarizations - vector beams - offer unique capabilities in metrology and communication. However, their practical application is limited by the lack of methods for measuring many polarizations in a scalable…

Optics · Physics 2022-09-13 Davide Pierangeli , Claudio Conti

Various applications ranging from robotics to climate science require modeling signals on non-Euclidean domains, such as the sphere. Gaussian process models on manifolds have recently been proposed for such tasks, in particular when…

Machine Learning · Statistics 2024-04-02 Daniel Robert-Nicoud , Andreas Krause , Viacheslav Borovitskiy

Orbital angular momentum (OAM), a topological degree of freedom of light, is theoretically invariant under continuous deformations; yet, its physical observability degrades precipitously in complex media, creating a fundamental…

Optics · Physics 2026-03-06 Shuailing Wang , Jingping Xu , Yaping Yang

We review the well-known polarization optics matrix methods, i.e., Jones and Stokes-Mueller calculus, and show how they can be formulated in terms of four-dimensional (4d) rotations of the four independent electromagnetic field quadratures.…

Optics · Physics 2013-03-11 Magnus Karlsson

Optical vortices have been observed in a wide variety of optical systems. They can be observed directly in the wavefront of optical beams, or in the correlations between pairs of entangled photons. We present a novel optical vortex which…

Quantum Physics · Physics 2015-05-27 R. M. Gomes , A. Salles , F. Toscano , P. H. Souto Ribeiro , S. P. Walborn

Traditional superoscillation focusing typically requires complex optimization of the incident light field. These complexities may limit the practical application of superoscillation. High-order radially polarized Laguerre-Gaussian beams…

In-plane polarized light experiences a non-trivial topological evolution as it propagates resonantly in a M\"obius ring resonator. The resultant geometric phase varies continuously when changing the light ellipticity, which leads to…

Optics · Physics 2023-08-11 S. L. Li , L. B. Ma , V. M. Fomin , S. Böttner , M. R. Jorgensen , O. G. Schmidt

Entanglement potentials are popular measures of the nonclassicality of single-mode optical fields. These potentials are defined by the amount of entanglement (measured by, e.g., the negativity or concurrence) of the two-mode field generated…

In this paper we describe two new computational operators, called complex entropic form (CEF) and generalized complex entropic form (GEF), for pattern characterization of spatially extended systems. Besides of being a measure of regularity,…

Condensed Matter · Physics 2009-10-31 Fernando M. Ramos , Reinaldo R. Rosa , Camilo Rodrigues Neto , Ademilson Zanandrea

Polarization textures of light may reflect fundamental phenomena such as topological defects, and can be utilized in engineering light beams. Three main routes are applied during their creation: spontaneous appearance in phase transitions,…

Optics · Physics 2021-07-07 Jani M. Taskinen , Pavel Kliuiev , Antti J. Moilanen , Päivi Törmä

It was recently realized that the polarization bases of the plane-wave modes in the integral representation of a light beam need to be determined by a degree of freedom arising from the divergence-free Maxwell's equation. This is a…

Optics · Physics 2020-07-02 Chun-Fang Li

Entanglement in high-dimensional quantum systems, where one or more degrees of freedom of light are involved, offers increased information capacities and enables new quantum protocols. Here, we demonstrate a functional source of…

Superposition of two independent orthogonally polarized beams is a conventional principle of creating a new light beam. Here, we intend to achieve the inverse process, namely, extracting inherent polarization modes from a single light beam.…

Optics · Physics 2021-04-27 Xiaoyu Weng , Yu Miao , Qingli Zhang , Guanxue Wang , Yue Li , Xiumin Gao , Songlin Zhuang

We consider a cavity optomechanical system consisting of a Bose-Einstein condensate (BEC) interacting with two counterpropagating traveling-wave modes in an optical ring cavity. In contrast to the more familiar case where the condensate is…

Quantum Gases · Physics 2015-05-18 W. Chen , D. S. Goldbaum , M. Bhattacharya , P. Meystre

This chapter presents an overview of the properties of a Bose-Einstein condensate (BEC) trapped in a periodic potential. This system has attracted a wide interest in the last years, and a few excellent reviews of the field have already…

Statistical Mechanics · Physics 2015-05-13 A. Smerzi , A. Trombettoni

Photon pair entangled in high dimensional orbital angular momentum (OAM) degree of freedom (DOF) has been widely regarded as a possible source in improving the capacity of quantum information processing. The need for the generation of a…

Quantum Physics · Physics 2020-05-20 Shilong Liu , Yingwen Zhang , Chen Yang , Shikai Liu , Zheng Ge , Yinhai Li , Yan Li , Zhiyuan Zhou , Guangcan Guo , Baosen Shi

Structured-Gaussian beams are shown to be fully and uniquely represented by a collection of points (or constellation) on the surface of the modal Majorana sphere, providing a complete generalization of the modal Poincar\'e sphere to…

Optics · Physics 2020-10-16 R. Gutiérrez-Cuevas , S. A. Wadood , A. N. Vamivakas , M. A. Alonso