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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

A new real space quantum mechanical approach with local field effects included is applied to the calculation of the optical properties of silicon nanocrystals. Silicon ellipsoids are studied and the role of surface polarization is discussed…

Materials Science · Physics 2007-07-11 F. Trani

The interaction of anisotropic point defects in anisotropic media is studied in the framework of anisotropic elasticity with eigendistortion. For this purpose key-equations and their solutions for anisotropic point defects in an anisotropic…

Materials Science · Physics 2017-03-16 Markus Lazar

We formulate a quantitative description of backscattered linearly polarized light using an extended photon diffusion formalism taking explicitly into account the scattering anisotropy parameter g of the medium. From diffusing wave…

Disordered Systems and Neural Networks · Physics 2011-03-07 L. F. Rojas-Ochoa , D. Lacoste , R. Lenke , P. Schurtenberger , F. Scheffold

We consider the polarization arising from scattering in an envelope illuminated by a central anisotropic source. Spherical harmonics are used to describe both the light source anisotropy and the envelope density distribution functions of…

Astrophysics · Physics 2008-12-16 R Ignace , M Al-Malki , J Simmons , J C Brown , D Clarke , J Carson

Depolarization dyadics play a central role in theoretical studies involving scattering from small particles and homogenization of particulate composite materials. Closed-form expressions for depolarization dyadics have been developed for…

Optics · Physics 2025-04-08 Tom G. Mackay , Akhlesh Lakhtakia

In this paper we consider the inverse acoustic scattering (in \mathbb{R}^3) or electromagnetic scattering (in \mathbb{R}^2, for the scalar TE-polarization case) problem of reconstructing possibly multiple defective penetrable regions in a…

Analysis of PDEs · Mathematics 2015-10-08 Fioralba Cakoni , Isaac Harris

We present a systematic overview of granular deposits composed of ellipsoidal particles with different particle shapes and size polydispersities. We study the density and anisotropy of such deposits as functions of size polydispersity and…

Soft Condensed Matter · Physics 2015-05-30 Reza M. Baram , Pedro G. Lind

Depolarization of diffuse radio synchrotron emission is classified in terms of wavelength-independent and wavelength-dependent depolarization in the context of regular magnetic fields and of both isotropic and anisotropic turbulent magnetic…

Astrophysics of Galaxies · Physics 2014-09-05 Carl Shneider , Marijke Haverkorn , Andrew Fletcher , Anvar Shukurov

Multi-frequency radio polarimetric observations of the diffuse Galactic synchrotron background enable us to study the structure of the diffuse ionized gas via rotation measure maps. However, depolarization will introduce artifacts in the…

Astrophysics · Physics 2009-11-10 M. Haverkorn , F. Heitsch

We present a theoretical study of multi-mode scattering of light by optically random media, using the Mueller-Stokes formalism which permits to encode all the polarization properties of the scattering medium in a real $4 \times 4$ matrix.…

Quantum Physics · Physics 2009-11-10 A. Aiello , J. P. Woerdman

The widely-used Jones and Mueller differential polarization calculi allow non-depolarizing deterministic polarization interactions, known to be elements of the $SO^+(1,3)$ Lorentz group, to be described in an efficient way. In this Letter,…

Optics · Physics 2016-12-21 Julien Fade , Noé Ortega-Quijano

We experimentally investigate the depolarizing power and the polarization entropy of a broad class of scattering optical media. By means of polarization tomography, these quantities are derived from an effective Mueller matrix, which is…

Optics · Physics 2007-05-23 Graciana Puentes , Dirk Voigt , Andrea Aiello , J. P. Woerdman

The P-wave slowness and group-velocity surfaces in elliptically anisotropic media are ellipsoids. Elliptical anisotropy is convenient to use as the reference medium in perturbation methods designed to solve P-wave wave-propagation problems…

Geophysics · Physics 2022-12-23 Qi Hao , Ilya Tsvankin

In this paper we consider a general class of anisotropic energies in three dimensions and give a complete characterisation of their minimisers. We show that, depending on the Fourier transform of the interaction potential, the minimiser is…

Analysis of PDEs · Mathematics 2022-10-14 Joan Mateu , Maria Giovanna Mora , Luca Rondi , Lucia Scardia , Joan Verdera

The vectorial evolution of polarized light interaction with a medium can reveal its microstructure and anisotropy beyond what can be obtained from scalar light interaction. Anisotropic properties (diattenuation, retardance, and…

Optics · Physics 2024-02-26 Zhineng Xie , Guowu Huang , Weihao Lin , Xin Jin , Yifan Ge , Yansen Hu , Xiafei Qian , Min Xu

Calculating by analytical theory the deformation of finite-sized elastic bodies in response to internally applied forces is a challenge. Here, we derive explicit analytical expressions for the amplitudes of modes of surface deformation of a…

Soft Condensed Matter · Physics 2024-07-15 Lukas Fischer , Andreas M. Menzel

We propose an imaging method to enhance and reveal structures within samples by using a polarization-based filter. This filter removes the isotropic content while amplifying the anisotropic component of depolarization. Whereas isotropic…

The polarization of a coherent depolarized incident light beam passing through a disordered medium is investigated. The local polarization of the scattered far field and the probability density function are calculated and show an excellent…

Optics · Physics 2011-06-06 Jacques Sorrentini , Myriam Zerrad , Gabriel Soriano , Claude Amra

Besides the chemical constituents, it is the lattice geometry that controls the most important material properties. In many interesting compounds, the arrangement of elements leads to pronounced anisotropies, which reflect into a varying…

Strongly Correlated Electrons · Physics 2021-01-27 Benjamin Klebel , Thomas Schäfer , Alessandro Toschi , Jan M. Tomczak
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