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We show existence of interfaces between two anisotropic materials so that light is refracted in accordance with a given pattern of energy. To do this we formulate a vector Snell law for anisotropic media when the wave fronts are given by…

Analysis of PDEs · Mathematics 2018-06-04 Cristian E. Gutierrez , Qingbo Huang , Henok Mawi

In light refraction between two transparent media, Snell's law describes the relationship between the incident angle and refraction angle. The refractive index is usually determined from Snell's law using the minimum deviation angle through…

Optics · Physics 2022-01-11 Shosuke Sasaki

Refraction is a common physical phenomenon and has long been researched in computer vision. Objects imaged through a refractive object appear distorted in the image as a function of the shape of the interface between the media. This hinders…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Antonin Sulc , Imari Sato , Bastian Goldluecke , Tali Treibitz

This paper describes the spherical concave mirror method for measuring the index of refraction of transparent liquids. We derived the refractive index equation using Snell's law and the small-angle approximation. We also verified the…

Classical Physics · Physics 2013-01-22 Amitabh Joshi , Juan D. Serna

This paper provides a mathematical approach to study metasurfaces in non flat geometries. Analytical conditions between the curvature of the surface and the set of refracted directions are introduced to guarantee the existence of phase…

Optics · Physics 2017-03-20 Cristian E. Gutierrez , Luca Pallucchini , Eric Stachura

A wedge-shaped structure made of split-ring resonators (SRR) and wires is numerically simulated to evaluate its refraction behavior. Four frequency bands, namely, the stop band, left-handed band, ultralow-index band, and positive-index…

Optics · Physics 2007-05-23 Z. G. Dong , S. N. Zhu , H. Liu , J. Zhu , W. Cao

Light-absorbing materials are widely used, and their optical properties are an important factor. Snell's law does not hold in materials that partially absorb light. Hence, the optical path in refraction is calculated from Maxwell's law. We…

Optics · Physics 2023-01-04 Shosuke Sasaki

Two methods of refractometry in reflected light from optical surface of samples are considered and studied experimentally. Methods are grounded on results of Fresnel theory of concerning light reflectivity at near normal incidence and…

Optics · Physics 2010-08-26 E. A. Tikhonov , V. A. Ivashkin

Generative image models can produce convincingly real images, with plausible shapes, textures, layouts and lighting. However, one domain in which they perform notably poorly is in the synthesis of transparent objects, which exhibit…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Yue Yin , Enze Tao , Dylan Campbell

Negative refraction is known to occur in materials that simultaneously possess a negative electric permittivity and magnetic permeability; hence they are termed negative index materials. However, there are no known natural materials that…

Snell's law of light deflection between media with different indices of refraction is usually discussed in terms of the Maxwell electromagnetic wave theory. Snell's law may also be derived from a photon beam theory of light rays. This…

Physics Education · Physics 2009-11-11 D. Drosdoff , A. Widom

To study the scattering properties of metamaterials, we generalize two scattering methods developed for conventional (non-magnetic) isotropic materials to the case of materials with arbitrary values (positive or negative) of magnetic…

Optics · Physics 2011-02-15 Vivian Grunhut , Ricardo A. Depine

A general algorithm for calculating the reflection and refraction of nonuniform plane waves from an arbitrarily oriented and charged planar interface between two lossy isotropic media is proposed based on the decomposition of the complex…

Optics · Physics 2026-02-24 Zhili Lin

A slab of negatively refracting material, thickness d, can focus an image at a distance 2d from the object. The negative slab cancels an equal thickness of positive space. This result is a special case of a much wider class of focussing:…

Condensed Matter · Physics 2009-11-10 J. B. Pendry , S. Anantha Ramakrishna

Snell's law dictates the phenomenon of light refraction at the interface between two media. Here, we demonstrate arbitrary programming of light refraction through an engineered material where the direction of the output wave can be set…

Optics · Physics 2025-07-29 Md Sadman Sakib Rahman , Tianyi Gan , Mona Jarrahi , Aydogan Ozcan

Light refraction, i.e. the bending of the path of a light wave at the interface between two different dielectric media, is ubiquitous in optics. Refraction arises from the different speed of light and is unavoidable in continuous media…

Optics · Physics 2018-02-14 Stefano Longhi

Refractive Index Tomography is the inverse problem of reconstructing the continuously-varying 3D refractive index in a scene using 2D projected image measurements. Although a purely refractive field is not directly visible, it bends light…

Computer Vision and Pattern Recognition · Computer Science 2023-12-06 Brandon Zhao , Aviad Levis , Liam Connor , Pratul P. Srinivasan , Katherine L. Bouman

We present an abstract method in the setting of compact metric spaces which is applied to solve a number of problems in geometric optics. In particular, we solve the one source near field refraction problem. That is, we construct surfaces…

Analysis of PDEs · Mathematics 2015-06-16 Cristian E. Gutierrez , Qingbo Huang

It has been recently proved that a slab of negative refractive index material acts as a perfect lens in that it makes accessible the sub-wavelength image information contained in the evanescent modes of a source. Here we elaborate on…

Disordered Systems and Neural Networks · Physics 2013-05-29 S. Anantha Ramakrishna , J. B. Pendry

Geometrically decorated two-dimensional (2D) discrete surfaces can be more effective than conventional smooth reflectors in managing wave radiation. Constructive non-specular wave scattering permits the scattering angle to be other than…

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