scholarly journals Transformation optics beyond the manipulation of light trajectories

2015 ◽  
Vol 373 (2049) ◽  
pp. 20140361 ◽  
Author(s):  
Vincent Ginis ◽  
Philippe Tassin
Keyword(s):  
Electromagnetic Fields ◽  
Coordinate Transformation ◽  
Quadratic Function ◽  
Cherenkov Light ◽  
Transformation Optics ◽  
Optical Material ◽  
Optical Forces ◽  
Light Waves ◽  
Light Rays ◽  
Invisibility Cloaks

Since its inception in 2006, transformation optics has become an established tool to understand and design electromagnetic systems. It provides a geometrical perspective into the properties of light waves without the need for a ray approximation. Most studies have focused on modifying the trajectories of light rays, e.g. beam benders, lenses, invisibility cloaks, etc. In this contribution, we explore transformation optics beyond the manipulation of light trajectories. With a few well-chosen examples, we demonstrate that transformation optics can be used to manipulate electromagnetic fields up to an unprecedented level. In the first example, we introduce an electromagnetic cavity that allows for deep subwavelength confinement of light. The cavity is designed with transformation optics even though the concept of trajectory ceases to have any meaning in a structure as small as this cavity. In the second example, we show that the properties of Cherenkov light emitted in a transformation-optical material can be understood and modified from simple geometric considerations. Finally, we show that optical forces—a quadratic function of the fields—follow the rules of transformation optics too. By applying a folded coordinate transformation to a pair of waveguides, optical forces can be enhanced just as if the waveguides were closer together. With these examples, we open up an entirely new spectrum of devices that can be conceived using transformation optics.

Curiosities of Light Rays and Light Waves

1966 ◽  
Vol 34 (8) ◽  
pp. 714-714
Author(s):  
S. Tolansky ◽  
K. Bennett Kolb
Keyword(s):  
Light Waves ◽  
Light Rays

Beam deflection and splitting using transformation optics

Open Physics ◽  
2011 ◽  
Vol 9 (1) ◽  
Author(s):  
Guan Yu ◽  
Wei Jiang ◽  
Tie Cui
Keyword(s):  
Theoretical Analysis ◽  
Numerical Simulations ◽  
Coordinate Transformation ◽  
Geometric Construction ◽  
Transformation Optics ◽  
Beam Deflection ◽  
Full Wave ◽  
Discontinuous Boundary

AbstractWe propose a scheme to achieve beam defecting and splitting using a method of embedded coordinate transformation [1]. In this method one boundary of transformation region is not involved in the transformation, which means beam defecting and splitting can be realized by changing the geometric construction. Although there is a discontinuous boundary, the impendence is matched between transformation media and surrounding media according to the conventional transformation optics. Full-wave numerical simulations further verify the theoretical analysis.

scholarly journals PTMetamaterials via Complex-Coordinate Transformation Optics

2013 ◽  
Vol 110 (17) ◽  
Author(s):  
Giuseppe Castaldi ◽  
Silvio Savoia ◽  
Vincenzo Galdi ◽  
Andrea Alù ◽  
Nader Engheta
Keyword(s):  
Coordinate Transformation ◽  
Transformation Optics

An Elastic Cloak Model Based on Coordinate Transformation

2010 ◽  
Author(s):  
M. Brun ◽  
S. Guenneau ◽  
A. B. Movchan
Keyword(s):  
Coordinate Transformation ◽  
Elastic Waves ◽  
Pressure Waves ◽  
Plane Shear ◽  
Initial Form ◽  
Model Based ◽  
Elasticity Equations ◽  
Invisibility Cloaks ◽  
Fully Coupled

We propose a class of cylindrical cloaks for elastic waves which are deduced from geometric transform. In particular we implement a radially symmetric linear geometric transform which depends upon a parameter and depending upon the value of such parameter, the transform is applied to the design of neutral (invisibility) cloaks and to obtain mirage effects. Interestingly, the cloaking device has been designed for fully-coupled in-plane shear and pressure waves and, moreover, the chosen reparameterization is such that the elasticity equations maintain their initial form under the transformation, which is generally untrue in the elasticity case.

scholarly journals Metamaterials mimic the black holes: the effects of charge and rotation on the optical properties

2020 ◽  
Vol 2020 (7) ◽  
Author(s):  
S H Hendi ◽  
Z S Taghadomi ◽  
A Ghasempour Ardakani
Keyword(s):  
Black Holes ◽  
Optical Properties ◽  
Light Propagation ◽  
Transformation Optics ◽  
Two Dimensional ◽  
Propagation Of Light ◽  
Analogue Gravity ◽  
Light Rays ◽  
Optical Limit ◽  
Dimensional Simulation

Abstract Motivated by the investigation of a black hole’s properties in the lab, some interesting subjects such as analogue gravity and transformation optics are generated. In this paper, we look for analogies between the geometry of a gravitating system and the optical medium. In addition, we recognize that appropriate two-dimensional metamaterials can be used to mimic the propagation of light in the curved spacetimes and behave like black holes which are incident with light rays in the equatorial plane. The resemblance of metamaterials with Kerr and Reissner–Nordström spacetimes is studied. Finally, we compare the results of two-dimensional simulation for light propagation in the corresponding two-dimensional metamaterials with those obtained from the geometrical optical limit.

scholarly journals The required acoustic parameters simplification of invisibility cloaks and concentrators using the impedance-tunable coordinate transformation

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Jun Cao ◽  
Fenghua Qi ◽  
Senlin Yan
Keyword(s):  
Coordinate Transformation ◽  
Two Dimensional ◽  
Acoustic Metamaterials ◽  
Acoustic Parameters ◽  
Acoustic Design ◽  
Impedance Distribution ◽  
Invisibility Cloaks ◽  
Impedance Functions ◽  
Transformation Acoustics ◽  
Tunable Impedance

AbstractTransformation acoustics, as an unconventional theory, provides a powerful tool to design various kinds of acoustic devices with excellent functionalities. However, the required ideal parameters, which are prescribed by the method, are both complex and hard to implement-even using acoustic metamaterials. Furthermore, simplified parameter materials are generally favored in transformation-acoustic design due to its easier realization with artificial structures. In this letter, we propose a coordinate transformation methodology for achieving simplified parameters by tuning the impedance distribution in the geometric limit, where the transformation media parameters can be derived by setting tunable impedance functions in the original space and a combination of suitable linear or nonlinear coordinate transformation. Based on this approach, both two-dimensional acoustic cloak and concentrators are designed with different sets of simplified parameters. Numerical simulations indicate good performance of these devices with minimized scattering at higher frequencies. The proposed method provides more opportunities to realize the designed acoustic devices experimentally, and can also be used for other transformation-acoustic designs including 3D cases.

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