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In a general-relativistic spacetime (Lorentzian manifold), gravitational lensing can be characterized by a lens map, in analogy to the lens map of the quasi-Newtonian approximation formalism. The lens map is defined on the celestial sphere…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Volker Perlick

The main goal of the present paper is to study how polarization of photons affects their motion in a gravitational field created by a rotating massive compact object. We study propagation of the circularly polarized beams of light in a…

General Relativity and Quantum Cosmology · Physics 2011-09-08 Valeri P. Frolov , Andrey A. Shoom

We present sufficient condition for a family of positive definite kernels on a compact two-point homogeneous space to be strictly positive definite based on their representation as a series of spherical harmonics. The family analyzed is a…

Classical Analysis and ODEs · Mathematics 2022-05-17 Jean Carlo Guella , Janin Jäger

Orbital angular momentum (OAM) light beams for high-order harmonic generation (HHG) provide an additional degree of freedom to study the light-matter interaction at ultrafast timescales. A more sophisticated configuration is a perfect…

Optics · Physics 2024-10-01 Bikash Kumar Das , C. Granados , M. Krüger , Marcelo F. Ciappina

A formalism for describing an all-sky map of the polarization of the cosmic microwave background is presented. The polarization pattern on the sky can be decomposed into two geometrically distinct components. One of these components is not…

Astrophysics · Physics 2011-05-05 Marc Kamionkowski , Arthur Kosowsky , Albert Stebbins

The geometry of a smooth line is characterized locally by its curvature and torsion, or globally by its writhe. In many situations of physical interest the line is, however, not smooth so that the classical Frenet description of the…

Soft Condensed Matter · Physics 2007-05-23 A. C. Maggs

The albedo and dichroic polarization of spheroidal particles are studied. For the description of the phase function two asymmetry parameters $g_{||}$ and $g_{\bot}$ characterizing the anisotropy in forward/backward and left/right directions…

Astrophysics · Physics 2007-05-23 Nikolai V. Voshchinnikov

Light is the fundamental medium through which we perceive the world around us. In the modern era, light can not only be used in its raw form but can also be used as a versatile tool. Generally, light fields carry energy and momentum (both…

Optics · Physics 2025-12-18 Bikash K. Das , Camilo Granados , Marcelo F. Ciappina

Single fluorescent molecules, behaving as ideal electric dipole emitters, are powerful nanoscopic probes of complex optical fields. Here, this property is exploited to precisely map the polarization and vectorial structure of tightly…

A cornerstone of the loop quantum gravity program is the fact that the phase space of general relativity on a fixed graph can be described by a product of SU(2) cotangent bundles per edge. In this paper we show how to parametrize this phase…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Laurent Freidel , Simone Speziale

The Mueller-Stokes formalism which governs conventional polarization optics is formulated for plane waves, and thus the only qualification one could demand of a $4\times 4$ real matrix $M$ in order that it qualifies to be the Mueller matrix…

It was generally assumed that the Stokes parameters are complete characterization for the state of polarization of a plane light wave so that their counterparts in quantum optics, called the Stokes operators, represent the polarization of…

Optics · Physics 2023-09-25 Chun-Fang Li , Zhi-Juan Hu

The objective of polarization rendering is to simulate the interaction of light with materials exhibiting polarization-dependent behavior. However, integrating polarization into rendering is challenging and increases computational costs…

Graphics · Computer Science 2025-01-15 Shinyoung Yi , Donggun Kim , Jiwoong Na , Xin Tong , Min H. Kim

Structured beams carrying topological defects, namely phase and Stokes singularities, have gained extensive interest in numerous areas of optics. The non-separable spin and orbital angular momentum states of hybridly polarized Stokes…

We show that the polarization state of coherent light propagating through an optically thick multiple-scattering medium, can be controlled by wavefront shaping, i.e. by controlling only the spatial phase of the incoming field with a spatial…

Optics · Physics 2015-06-05 Yefeng Guan , Ori Katz , Eran Small , Jianying Zhou , Yaron Silberberg

Optical aberrations have been studied for centuries, placing fundamental limits on the achievable resolution in focusing and imaging. In the context of structured light, the spatial pattern is distorted in amplitude and phase, often arising…

Photonic molecules, i.e. artificial structures composed of coherently coupled optical cavities, are paradigmatic systems for investigating fundamental phenomena across photonics, quantum optics and topological physics. In recent years,…

Optics · Physics 2026-05-06 Tiantong Li , Katia Gallo

We canonically quantize a Poisson manifold to a Lie 2-groupoid, complete with a quantization map, and show that it relates geometric and deformation quantization: the perturbative expansion in $\hbar$ of the (formal) convolution of two…

Symplectic Geometry · Mathematics 2024-04-15 Joshua Lackman

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

We recall the framework of a consistent quantum description of polarization of light. Accordingly, the degree of polarization of a two-mode state $\hat \rho$ of the quantum radiation field can be defined as a distance of a related state…

Quantum Physics · Physics 2015-05-19 Iulia Ghiu , Gunnar Bjork , Paulina Marian , Tudor A. Marian