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We propose an approach for deriving a broad class of propagation models for inhomogeneously, linearly polarized ``vector'' beams. Our formulation leverages a complex scalar potential along with an appropriately constructed Lagrangian energy…

Optics · Physics 2025-05-27 Jonathan Nichols , Frank Bucholtz

We use group theoretic ideas and coset space methods to deal with problems in polarization optics of a global nature. These include the possibility of a globally smooth phase convention for electric fields for all points on the Poincar\'{e}…

Classical Physics · Physics 2018-02-13 Arvind , S. Chaturvedi , N. Mukunda

We present a technique for generating light in an arbitrary polarization state. The technique is based on interference of two orthogonally polarized light beams, whose amplitudes and phases are controlled with a Mach-Zehnder inteferometer…

Applied Physics · Physics 2018-10-22 P. Wlodarczyk , S. Pustelny , D. Budker

Controlling the polarization and wavefront of light is essential for compact photonic systems in modern science and technology. This may be achieved by metasurfaces, a new platform that has radically changed the way people engineer…

Applied Physics · Physics 2020-01-14 Guowen Ding , Ke Chen , Na Zhang , Junming Zhao , Tian Jiang , Yijun Feng

A single paraxial beam reflection at a plane dielectric interface, configured appropriately, can lead to the formation of a polarization singularity in the inhomogeneously polarized output beam-field for any central angle of incidence. In…

Optics · Physics 2023-02-28 Anirban Debnath , Nirmal K. Viswanathan

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

Inspecting three-dimensional partially polarized light fields we show that there is no unambiguous correspondence between the three-dimensional field and coherence matrix (or light beam tensor). Therefore, it is needed to clarify the…

Optics · Physics 2013-08-14 Andrey V. Novitsky

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 put forward and demonstrate experimentally a {\it quantum-inspired} protocol that allows to quantify the degree of similarity between two spatial shapes embedded in two optical beams without the need to measure the amplitude and phase…

Optics · Physics 2022-12-07 Daniel F. Urrego , Juan P. Torres

We review the formalism underlying the modeling of gravitational wave (GW) polarizations, and the coordinate frames used to define them. In the process, we clarify the notion of "polarization angle" and identify three conceptually distinct…

General Relativity and Quantum Cosmology · Physics 2023-09-28 Maximiliano Isi

Partial polarization is the manifestation of the correlation between two mutually orthogonal transverse field components associated with a light beam. We show both theoretically and experimentally that the origin of this correlation can be…

Parallel transport of a vector around a closed curve on the surface of a sphere leads to a direction holonomy which can be related with a geometric phase that is equal to the solid angle subtended by the closed curve. Since Pancharatnam…

General Physics · Physics 2007-05-23 S. C. Tiwari

In the present work, we demonstrate that structured light beams are constituted by two traveling waves which transverse components are in opposite directions, that is, incoming and outgoing from the axis of propagation. These waves result…

Polarization is a basic property of light and is fundamentally linked to the internal geometry of a source of radiation. Polarimetry complements photometric, spectroscopic, and imaging analyses of sources of radiation and has made possible…

Instrumentation and Methods for Astrophysics · Physics 2017-01-18 S. Trippe

We develop a framework for the multiple scattering of a polarized wave. We consider particles with spin propagating in a medium filled with scatterers. We write the amplitudes of each spin eigenstate in a local, mobile frame. One of the…

Other Condensed Matter · Physics 2010-07-20 Vincent Rossetto

We present a novel approach to precisely synthesize arbitrary polarization states of light with a high modulation bandwidth. Our approach consists of superimposing two laser light fields with the same wavelength, but with opposite circular…

We present a complete polarization characterization of any quantum state of two orthogonal polarization modes, and give a systematic measurement procedure to collect the necessary data. Full characterization requires measurements of the…

Quantum Physics · Physics 2015-06-11 Jonas Soderholm , Gunnar Bjork , Andrei B. Klimov , Luis L. Sanchez-Soto , Gerd Leuchs

Scattering processes in the atmospheres of planets cause characteristic features that can be particularly well observed in polarisation. For planet Earth, both molecular and scattering by small particles imprint specific signatures in its…

Earth and Planetary Astrophysics · Physics 2020-07-15 Michael F. Sterzik , Stefano Bagnulo , Claudia Emde , Mihail Manev

On a compact symplectic manifold $(X,\omega)$ with a prequantum line bundle $(L,\nabla,h)$, we consider the one-parameter family of $\omega$-compatible complex structures which converges to the real polarization coming from the Lagrangian…

Differential Geometry · Mathematics 2019-11-26 Kota Hattori

We demonstrate that the multipoles associated with the density matrix are truly observable quantities that can be unambiguously determined from intensity moments. Given their correct transformation properties, these multipoles are the…

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