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It is known that minimal surfaces in Euclidean space can be represented in terms of holomorphic functions. For example, we have the well-known Weierstrass representation, where part of the holomorphic data is chosen to be the stereographic…

Differential Geometry · Mathematics 2021-09-28 Luiz C. B. da Silva

It is a well known phenomenon that many classical minimal surfaces in Euclidean space also exist with higher dihedral symmetry. More precisely, these surfaces are solutions to free boundary problems in a wedge bounded by two vertical planes…

Differential Geometry · Mathematics 2024-01-02 Ramazan Yol

This paper describes a method for the explicit reconstruction and visualization of various polarization ellipses from the intensities measured after a rotating polarizer. The state of polarization of a light beam is represented by the…

Optics · Physics 2022-11-29 Ramonika Sengupta , Brijesh Tripathi , Asha Adhiya

We study winding angles of oriented polymers with orientation-dependent interaction in two dimensions. Using exact analytical calculations, computer simulations, and phenomenological arguments, we succeed in finding the variance of the…

Statistical Mechanics · Physics 2009-10-30 Thomas Prellberg , Barbara Drossel

The concept of viewing graph solvability has gained significant interest in the context of structure-from-motion. A viewing graph is a mathematical structure where nodes are associated to cameras and edges represent the epipolar geometry…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Federica Arrigoni , Kathlén Kohn , Andrea Fusiello , Tomas Pajdla

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

Formal expressions are derived for the multipole expansion of the structure functions of a general polarization observable of exclusive electrodisintegration of the deuteron using a longitudinally polarized beam and/or an oriented target.…

Nuclear Theory · Physics 2007-05-23 Hartmuth Arenhoevel , Winfried Leidemann , Edward L. Tomusiak

We study the deformation of a liquid interface with arbitrary principal curvatures by a flat circular sheet. Working first at small slopes, we determine the shape of the sheet analytically in the membrane limit, where the sheet is…

Soft Condensed Matter · Physics 2025-06-03 Zachariah S. Schrecengost , Seif Hejazine , Jordan V. Barrett , Vincent Démery , Joseph D. Paulsen

We present polarisation observations of five pulsars whose profiles exhibit two distinct emission regions separated by close to 180 degrees of longitude. We fitted the position angle of the linear polarisation using the rotating vector…

Solar and Stellar Astrophysics · Physics 2015-05-14 M. J. Keith , S. Johnston , M. Kramer , P. Weltevrede

The angle of rotation of any target about the radar line of sight (LOS) is known as the polarization orientation angle. The orientation angle is found to be non-zero for undulating terrains and man-made targets oriented away from the radar…

Classical Physics · Physics 2017-04-26 Avik Bhattacharya

We demonstrate metasurfaces with strong polarization dichroism that depends on the angle of incidence. We present original designs obtained through topology optimization that selectively transmit specific linear or circular polarizations at…

Optics · Physics 2025-03-24 Neuton Li , Jihua Zhang , Dragomir Neshev , Andrey Sukhorukov

The recently detected linear polarization in the optical lightcurve of GRB 990510 renewed the interest on how polarization can be produced in gamma-ray burst fireballs. Here we present a model based on the assumption that we are seeing a…

Astrophysics · Physics 2009-10-31 Gabriele Ghisellini , Davide Lazzati

Perfect light transmission into a dielectric at the Brewster angle is one of the simplest effects in macroscopic electromagnetism. The common wisdom states that absorption in the dielectric violates Brewster angle and leads to a…

Optics · Physics 2023-12-07 Valeria Maslova , Petr Lebedev , Denis G. Baranov

We develop a simple and reliable analytical model that allows describing the electromagnetic response of all-dielectric metasurfaces consisting of a single-layer array of high-permittivity spherical particles. By combining Mie theory with a…

Classical Physics · Physics 2020-12-21 Alessio Monti , Andrea Alù , Alessandro Toscano , Filiberto Bilotti

We suggest that some observational features of high-energy radiation from pulsars should be explained in terms of three dimensional geometric models, e.g. the phase-resolved X-ray and $\gamma$-ray spectra and the energy dependent light…

Astrophysics · Physics 2009-11-10 K. S. Cheng

The Poincar\'e sphere is a graphical representation in a three-dimensional space for the polarization of light. Similarly, an optical element with spatially varying birefringence can be represented by a surface on a four-dimensional…

Optics · Physics 2018-02-14 Anthony Vella , Miguel A. Alonso

We give a general design method for finding the passive, reciprocal surface impedance tensor required to enact any wave transformation. We do this through characterising the surface in terms of a tensorial surface impedance, showing that a…

Applied Physics · Physics 2025-09-29 K. O. Arnold , C. Hooper , J. Smith , N. Clow , A. P. Hibbins , J. R. Sambles , S. A. R. Horsley

Partially coherent electromagnetic sources with cylindrical symmetry and infinite extent radiating outwards are introduced. Their 3x3 cross-spectral density matrix is given through expansions of the field components in terms of basis…

We describe a surface structure consisting of a metal-air interface where the metallic part consists of two metallic segments with a periodic modulation of the interface between them. Such a structure possesses a different transmissivity…

Optics · Physics 2016-09-02 Vladimir Kuzmiak , Alexei A. Maradudin

The interaction of a nonrelativistic charged particle beam, travelling parallel to the surface of a sharp-edged dielectric wedge is analyzed. The general expressions for excitation probability are obtained for a beam moving along the…

Materials Science · Physics 2011-02-08 H. B. Nersisyan , A. V. Hovhannisyan