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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

Due to the inhomogeneous polarisation across the beam profile, cylindrical vector beams interact with optically active media in a complex manner. Here, we analyse evolution of polarisation of cylindrical vector beams propagating in an…

Optics · Physics 2026-04-10 Yuanyang Xie , Alexey Krasavin , Anatoly V. Zayats , Andrei Afanasev

The article is devoted to application of tensorial formalism for derivation of different types of Maxwell's equations. The Maxwell's equations are written in the covariant coordinate-free and the covariant coordinate forms. Also the…

Mathematical Physics · Physics 2013-12-02 D. S. Kulyabov , A. V. Korolkova

Optical fibers constitute an attractive platform for the realization of nonlinear and quantum optics processes. Here we show, through theoretical considerations, how polarization effects of both third-order parametric down-conversion and…

Optics · Physics 2024-10-18 Carla M. Brunner , Nicolas Y. Joly

Two-dimensional lattices of chiral nanoholes in a plasmonic film with lattice constants being slightly larger than light wavelength are proposed for effective control of polarization and spatial properties of light beams. Effective…

Mesoscale and Nanoscale Physics · Physics 2016-03-15 V. V. Klimov , I. V. Zabkov , A. A. Pavlov , R. -C. Shiu , H. -C. Chan , G. Y. Guo

We present a new approach for correcting instrumental polarization by modeling the non-depolarizing effects of a complex series of optical elements to determine physically realizable Mueller matrices. Provided that the Mueller matrix of the…

Instrumentation and Methods for Astrophysics · Physics 2022-05-18 Sarah A. Jaeggli , Thomas A. Schad , Lucas A. Tarr , David M. Harrington

Analytical forms of the optical helicity and optical chirality of monochromatic Laguerre-Gaussian optical vortex beams are derived up to second order in the paraxial parameter $kw_0$. We show that input linearly polarised optical vortices…

Optics · Physics 2021-10-08 Kayn A. Forbes , Garth A. Jones

We show that the projection of an axisymmetric three-dimensional orientation distribution to two dimensions can be cast into an Abel transform. Based on this correspondence, we derive an exact integral inverse, which allows for the…

Soft Condensed Matter · Physics 2023-08-02 Philipp A. Kloza , James A. Elliott

We investigate the polarization dependence of optical nonlinearity enhancement for a uniaxial anisotropic composite of metal nanocrystals in a dielectric host. Three cases are distinguished depending on whether the polarization is parallel,…

Soft Condensed Matter · Physics 2007-05-23 K. P. Yuen , M. F. Law , K. W. Yu , Ping Sheng

We provide a parametrisation of a loxodrome by three specially arranged cycles. The parametrisation is covariant under fractional linear transformations of the complex plane and naturally encodes conformal properties of loxodromes. Selected…

Complex Variables · Mathematics 2019-11-07 Vladimir V. Kisil , James Reid

An analytical description of arbitrary strongly aberrated axially symmetric focusing is developed. This is done by matching the solution of geometrical optics with a wave pattern which is universal for the underlying ray structure. The…

Optics · Physics 2007-05-23 Johannes Kofler , Nikita Arnold

Light beams with azimuthal phase dependence [$exp(i \ell\phi)$] carry orbital angular momentum (OAM) which differs fundamentally from spin angular momentum (SAM) associated with polarization. Striking difference between the two momenta is…

Optics · Physics 2016-07-06 Ahmed H. Dorrah , Michel Zamboni-Rached , Mo Mojahedi

Chiral optical effects are generally quantified along some specific incident directions of exciting waves (especially for extrinsic chiralities of achiral structures) or defined as direction-independent properties by averaging the responses…

Optics · Physics 2021-06-30 Weijin Chen , Qingdong Yang , Yuntian Chen , Wei Liu

We propose a new type of a chiral metamaterial based on an ensemble of artificial molecules formed by three identical quantum-dots in a triangular arrangement. A static magnetic field oriented perpendicular to the plane breaks mirror…

Mesoscale and Nanoscale Physics · Physics 2014-12-04 Panagiotis Kotetes , Pei-Qing Jin , Michael Marthaler , Gerd Schön

Bessel beams generated with non-ideal axicons are affected by aberrations. We introduce a method to retrieve the complex amplitude of a Bessel beam from intensity measurements alone, and then use this information to correct the wavefront…

Optics · Physics 2022-04-06 B. Miao , L. Feder , J. E. Shrock , H. M. Milchberg

Free electrons moving in an optical standing wave field feel the ponderomotive potential, acting as a refractive-index medium in electron optics. Emerging technologies involving this potential have been proposed and realized in electron…

Optics · Physics 2022-01-25 Yuuki Uesugi , Yuichi Kozawa , Shunichi Sato

Axially symmetric telescopes produce well known "Seidel" off-axis third-order aberration patterns: coma, astigmatism, curvature of field and distortion. When axial symmetry is broken by the small misalignments of optical elements,…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 Paul L. Schechter , Rebecca Sobel Levinson

The optical aberrations of a system can be described in terms of the wave aberrations, defined as the departure from the ideal spherical wavefront; or the ray aberrations, which are in turn the deviations from the paraxial ray intersection…

Optics · Physics 2016-01-20 John Restrepo , Pawel J. Stoerck , Ivo Ihrke

The phenomena of magneto-optical polarization rotation and circular magnetic dichroism are well known in the Faraday configuration. We present another effect, an odd magneto-optical linear dichroism, arising in nanostructures with…

Coherent vector beams with involved states of polarization (SOP) are widespread in the literature, having applications in laser processing, super-resolution imaging and particle trapping. We report novel vector beams obtained by…

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