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We introduce darning of compact sets (darning and gluing of finite unions of compact sets), which are not thin at any of their points, in a potential-theoretic framework which may be described, analytically, in terms of harmonic…

Probability · Mathematics 2016-03-08 Wolfhard Hansen

The Langmuir-McLean isotherm is often interpreted as providing an approximation to the most probable grain boundary segregation as a function of the bulk mole solute fraction $x_B$, even though $x_B$ is not an independant parameter in the…

Materials Science · Physics 2022-08-09 S. R. Wilson

Composite structure of particles somewhat modifies their statistics, compared to the pure Bose- or Fermi-ones. The spin-statistics theorem, so, is not valid anymore. Say, $\pi$-mesons, excitons, Cooper pairs are not ideal bosons, and,…

Quantum Physics · Physics 2019-12-24 A. M. Gavrilik , Yu. A. Mishchenko

Forward models for the Mueller Matrix (MM) components of materials with relative magnetic permeability tensor {\mu} \neq 1 are studied. 4x4 matrix formalism is employed to produce general solutions for the complex reflection coefficients…

Optics · Physics 2015-05-19 P. D. Rogers , T. D. Kang , T. Zhou , M. Kotelyanskii , A. A. Sirenko

An ambichiral structure comprising sheets of an anisotropic dielectric material rejects normally incident plane waves of one circular polarization (CP) state but not of the other CP state, in its fundamental Bragg regime. However, if the…

Optics · Physics 2009-11-13 A. Lakhtakia

The polarization process when polarizers act on an optical field is studied. We give examples for two kinds of polarizers. The first kind presents an anisotropic absorption - as in a polaroid film - and the second one is based on total…

Optics · Physics 2008-09-09 J. Lages , R. Giust , J. -M. Vigoureux

Complex colloidal cluster morphologies are desirable for the fabrication of advanced materials, such as photonic crystals and meta-materials, and can be formed through evaporation-driven packing. By coupling lattice Boltzmann and discrete…

Soft Condensed Matter · Physics 2026-05-07 Junyu Yang , Abhinav Naga , Xitong Zhang , Halim Kusumaatmaja

Direct design of complex functional materials would revolutionize technologies ranging from printable organs to novel clean energy devices. However, even incremental steps towards designing functional materials have proven challenging. If…

Soft Condensed Matter · Physics 2024-06-26 Ella M. King , Chrisy Xiyu Du , Qian-Ze Zhu , Samuel S. Schoenholz , Michael P. Brenner

Closed-form expressions were recently derived for depolarization dyadics for truncated spheres and truncated spheroids, and the formalism was extended to truncated ellipsoids. These results were exploited to develop an implementation of the…

Optics · Physics 2024-04-30 Tom G. Mackay , Akhlesh Lakhtakia

We demonstrate that the electromagnetic fields scattered by particles made of different materials can be equalized. Emphasize is placed first in metallic nanoparticles that host localized surface plasmons and it is shown that their…

A defocusing imaging technique has been used as a diagnostic to identify binary agglomerates (dimers) in complex plasmas. Quasi-two-dimensional plasma crystal consisting of monodisperse spheres and binary agglomerates has been created where…

Plasma Physics · Physics 2015-06-05 M. Chaudhuri , V. Nosenko , C. Knapek , U. Konopka , A. V. Ivlev , H. M. Thomas , G. E. Morfill

In polarization optics, various topological constructs, namely Poincar\'e spheres of different orders, are used to represent uniform and structured polarization distributions. Similarly, there are also structured polarization optical…

Optics · Physics 2025-07-08 Mohammad Umar , P. Senthilkumaran

Let $X$ be a partial flag variety, equipped with the Borel action by multiplication. We give a criterion for the equivariant derived category with modular coefficients to be formal.

Representation Theory · Mathematics 2014-06-17 Jan Weidner

We employ a homogenization technique based on the Lorentz electronic theory to show that planar chiral structures (PCSs) can be described by an effective dielectric tensor similar to that of biaxial elliptically dichroic crystals. Such a…

Optics · Physics 2009-06-25 S. V. Zhukovsky , A. V. Novitsky , V. M. Galynsky

Spectral and spatial fringes in polarized light are produced by the interference of transmitted and reflected waves at the interface between materials with different indexes of refraction. These instrumental artifacts can affect the…

Optics · Physics 2026-03-11 Roberto Casini , David M. Harrington

Coupled nonlinear Schrodinger equations for paraxial optics with two circular polarizations of light in a defocusing Kerr medium with anomalous dispersion coincide in form with the Gross-Pitaevskii equations for a binary Bose-Einstein…

Optics · Physics 2024-02-23 Victor P. Ruban

We develop a formalism for the calculation of the macroscopic dielectric response of composite systems made of particles of one material embedded periodically within a matrix of another material, each of which is characterized by a well…

We briefly review a recently proposed formalism of perfect-fluid hydrodynamics with spin, which is a generalization of the standard hydrodynamic framework and provides a natural tool for describing the evolution of spin-polarized systems of…

High Energy Physics - Phenomenology · Physics 2020-11-05 Rajeev Singh

A wide range of materials can exist in microscopically disordered solid forms, referred to as amorphous solids or glasses. Such materials -- oxide glasses and metallic glasses, to polymer glasses, and soft solids such as colloidal glasses,…

Soft Condensed Matter · Physics 2021-08-20 Anshul D. S. Parmar , Srikanth Sastry

This article aims to provide a brief overview of both established and novel ellipsometry techniques, as well as their applications. Ellipsometry is an indirect optical technique in that information about the physical properties of a sample…

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