English
Related papers

Related papers: Transformation optics in orthogonal coordinates

200 papers

This is a survey of approximate cloaking using transformation optics for acoustic and electromagnetic waves.

Analysis of PDEs · Mathematics 2019-02-01 Hoai-Minh Nguyen , Michael S. Vogelius

The geometrical interpretation of electromagnetism in transparent media (transformation optics) is extended to include media with isotropic, inhomogeneous, chirality. It is found that such media may be described through introducing the…

Optics · Physics 2012-05-28 S. A. R. Horsley

We extend the transformation-optics paradigm to a complex spatial coordinate domain, in order to deal with electromagnetic metamaterials characterized by balanced loss and gain, giving special emphasis to parity-time (PT) symmetric…

Applications of the three-dimensional transformation for rotating coordinate systems to quantum mechanics, general theory relativity and optics are considered.

General Physics · Physics 2019-01-08 B. V. Gisin

The fully covariant formulation of transformation optics is used to find the configuration of a cloaking device operating in an expanding universe modelled by a Friedmann-Lema\^itre-Robertson-Walker spacetime. This spacetime cloak is used…

Optics · Physics 2015-07-23 Robert T. Thompson , Mohsen Fathi

In this work, we show that the orthogonality between rays and fronts of light propagation in a medium is expressed in terms of a suitable metric contact structure of the optical medium without boundaries. Moreover, we show that considering…

Mathematical Physics · Physics 2022-07-21 D. García-Peláez , C. S. López-Monsalvo , A. Rubio Ponce

The non-linear transformations incurred by the rays in an optical system can be suitably described by matrices to any desired order of approximation. In systems composed of uniform refractive index elements, each individual ray refraction…

Optics · Physics 2009-11-10 Jose B. Almeida

We introduce a method to experimentally measure the monochromatic transmission matrix of a complex medium in optics. This method is based on a spatial phase modulator together with a full-field interferometric measurement on a camera. We…

Optics · Physics 2010-03-10 S. M. Popoff , G. Lerosey , R. Carminati , M. Fink , A. C. Boccara , S. Gigan

We consider the transformation for the point rotation frames with the angle, spatial coordinate along the axis of rotation and time as variables. The problem arises when light, propagating through 3-fold electrooptical crystal, is modulated…

Optics · Physics 2007-10-24 Boris V. Gisin

Transformation optics (TO) is a new tool for controlling electromagnetic fields. In the context of metamaterial technology, it provides a direct link between a desired electromagnetic (EM) phenomenon and the material response required for…

We generalize the geometrical model of transformation optics to Rieman-Cartan space with torsion by introducing topological defects in physical space. By relaxing the integrable condition, we show explicitly that the generalized equivalent…

Geometrical optics (GO) is widely used in studies of electromagnetic materials because of its ease of use compared to full-wave numerical simulations. Exact solutions for waves can, however, differ significantly from the GO approximation.…

Optics · Physics 2015-06-18 T. G. Philbin

One potentially realistic specification for devices designed with transformation optics is that they operate with high precision in curved space-time, such as Earth orbit. This raises the question of what, if any, role does space-time…

Optics · Physics 2012-01-20 Robert T. Thompson

Based on transformation optics, a strategy is proposed to expose the inner one-dimensional space of a wave field inside a beam volume to the surface of the propagation medium and extend the space from one-dimensional to two-dimensional,…

Optics · Physics 2020-02-24 Jiangchao Shi , Xiaobo Yang , Jin Hu

We present a new technique for the design of transformation-optics devices based on large-scale optimization to achieve the optimal effective isotropic dielectric materials within prescribed index bounds, which is computationally cheap…

Optics · Physics 2013-06-11 David Liu , Lucas H. Gabrielli , Michal Lipson , Steven G. Johnson

Conventional method for Gaussian beam collimation is to expand the beam waist to achieve a smaller divergence angle. Recent transformation optics offers an unconventional path to control the electromagnetic field. In this paper we show that…

Optics · Physics 2013-03-29 Yuancheng Fan , Jin Han , Hongqiang Li

Transformation optics has shaped up a revolutionary electromagnetic design paradigm, enabling scientists to build astonishing devices such as invisibility cloaks. Unfortunately, the application of transformation techniques to other branches…

General Relativity and Quantum Cosmology · Physics 2015-06-11 C. García-Meca , S. Carloni , C. Barceló , G. Jannes , J. Sánchez-Dehesa , A. Martínez

An optomechanical interface that converts quantum states between optical fields with distinct wavelengths is proposed. A mechanical mode couples to two optical modes via radiation pressure and mediates the quantum state mapping between the…

Quantum Physics · Physics 2010-12-10 L. Tian , Hailin Wang

It is well known that optical media create artificial geometry for light, and curved geometry acts as an effective optical medium. This correspondence originates from the form invariance of Maxwells equations, which recently has spawned a…

Optics · Physics 2016-10-18 Fei Gao , Xihang Shi , Xiao Lin , Hongyi Xu , Baile Zhang

A new material characterization technique is emerging for the transmission electron microscope (TEM). Using electron energy-loss spectroscopy, real space mappings of the underlying electronic transitions in the sample, so called orbital…

Materials Science · Physics 2023-05-26 Manuel Ederer , Stefan Löffler