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By the extinction theorem we explore the Brewster effect in the external and internal reflections of electromagnetic wave associated with an anisotropic material that is both dielectric and magnetic, including metamaterials. We obtain…

Optics · Physics 2015-06-26 Weixing Shu , Zhongzhou Ren , Hailu Luo , Fei Li

We consider a PDE approach to numerically solving the reflector antenna problem by solving an Optimal Transport problem on the unit sphere with cost function $c(x,y) = -2\log \left\Vert x - y \right\Vert$. At each point on the sphere, we…

Numerical Analysis · Mathematics 2021-11-10 Brittany Froese Hamfeldt , Axel G R Turnquist

In the present article the classical problem of electromagnetic scattering by a single homogeneous sphere is revisited. Main focus is the study of the scattering behavior as a function of the material contrast and the size parameters for…

Classical Physics · Physics 2017-06-28 Dimitrios C. Tzarouchis , Pasi Ylä-Oijala , Ari Sihvola

We present a novel method, based on the Saunderson corrections, to predict the reflectance between a liquid interface and a dielectric diffuser. In this method, the diffuse properties of the dielectric are characterized using a single…

Optics · Physics 2023-05-08 C. Silva , R. Cabrita , V. N. Solovov , P. Brás , A. Lindote , G. Pereira , M. I. Lopes

The Brewster's law predicts zero reflection of p-polarization on a dielectric surface at a particular angle. However, when loss is introduced into the permittivity of the dielectric, the Brewster condition breaks down and reflection…

Optics · Physics 2021-03-03 Jie Luo , Hongchen Chu , Ruwen Peng , Mu Wang , Jensen Li , Yun Lai

We theoretically derive the polarization-resolved intensity distribution of a $TM$-polarized fundamental Gaussian beam reflected by an air-glass plane interface at Brewster incidence. The reflected beam has both a dominant ($TM$) and a…

Optics · Physics 2015-05-13 A. Aiello , M. Merano , J. P. Woerdman

Within classical optics, one may add microscopic "roughness" to a macroscopically flat mirror so that parallel rays of a given angle are reflected at different outgoing angles. Taking the limit (as the roughness becomes increasingly…

Probability · Mathematics 2012-04-12 Omer Angel , Krzysztof Burdzy , Scott Sheffield

A computational method is developed whereby the reflectivity of low-energy electrons from a surface can be obtained from a first-principles solution of the electronic structure of the system. The method is applied to multilayer graphene.…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 R. M. Feenstra , M. Widom

It is known that an acoustic wave incident on an infinite array of aligned rectangular blocks of a different acoustic material exhibits total transmission if certain conditions are met [1] which relate the unique "intromission" angle of…

Computational Physics · Physics 2017-08-23 Andrew N. Norris , Xiaoshi Su

We computationally study a subwavelength dielectric grating structure, show that slab waveguide modes can be used to obtain broadband high reflectivity, and analyze how slab waveguide modes influence reflection. A structure showing…

Optics · Physics 2015-09-17 Xuan Cui , Hao Tian , Zhongxiang Zhou

This study introduces an approximation for rendering one bounce glossy interreflection in real time. The solution is based on the most representative point (MRP) and extends to a sampling disk near the MRP. Our algorithm represents geometry…

Graphics · Computer Science 2021-09-14 Chunbiao Guo

We present a method to determine the strain tensor and local lattice rotation with Dark Field X-ray Microscopy. Using a set of at least 3 non-coplanar, symmetry-equivalent Bragg reflections, the illuminated volume of the sample can be kept…

A bianisotropic metasurface design is proposed for extending the Brewster effect to arbitrary angles and polarizations. The metasurface is synthesized using the surface susceptibility tensor and Generalized Sheet Transition Conditions…

Optics · Physics 2018-01-26 Guillaume Lavigne , Christophe Caloz

Reflectometry is a technique that uses the light reflected by a sample to determine properties of the sample. Interferometric reflectometry uses interference between two beams, one of which is incident on ---and reflected back by--- a…

Optics · Physics 2019-10-10 Alexander Nahmad-Rohen , Wolfgang Langbein

We present here a compactly formulated application of the previously posted general formalism of the reflection of Gaussian beams at a dielectric interface ({arXiv:0710.1643v2 [physics.optics]}). Specifically, we calculate the…

Optics · Physics 2009-03-28 A. Aiello , J. P. Woerdman

We have experimentally realized Brewster's effect for transverse-electric waves with metamaterials. In dielectric media, Brewster's no-reflection effect arises only for transverse-magnetic waves. However, it has been theoretically predicted…

Optics · Physics 2007-05-23 Y. Tamayama , T. Nakanishi , K. Sugiyama , M. Kitano

The roughness of crack interfaces is reported in quasistatic fracture, using an elastic network of beams with random breaking thresholds. For strong disorders we obtain 0.86(3) for the roughness exponent, a result which is very different…

Condensed Matter · Physics 2009-10-31 Bjorn Skjetne , Torbjorn Helle , Alex Hansen

We provide an explicit geometric algorithm involving only ruler and compass constructions in order to specify the specular reflection point on the surface of a reflecting sphere of radius $r$ given two focal points $A$ and $B$ lying outside…

History and Overview · Mathematics 2017-03-21 Nikolaos K. Kollas

Photon transport through a diffusing slab can be described by the radiative transfer equation (RTE). When the slab is highly scattering and weakly absorbing, the RTE simplifies to the diffusion equation. In this paper, an inverse diffusion…

Wavy dielectric grating hosts bound states in the continuum (BICs) at nonzero Bloch wave number. For oblique incident optical field with parameters near to the BICs, the reflectance spectrum exhibits ultra-sharp Fano line shape, and the…

Optics · Physics 2024-05-17 Ma Luo , Feng Wu