Transformation-optics antenna lens design using complex coordinate transformation

2014 ◽  
Author(s):  
Bing Qian Lu ◽  
Zhi Hao Jiang ◽  
Douglas H. Werner
Keyword(s):  
Coordinate Transformation ◽  
Transformation Optics ◽  
Lens Design

scholarly journals Transformation optics relay lens design for imaging from a curved to a flat surface

2016 ◽  
Author(s):  
Julia Wetherill ◽  
Richard Lepkowicz ◽  
Ramzi Zahreddine ◽  
Mark Neifeld
Keyword(s):  
Flat Surface ◽  
Transformation Optics ◽  
Lens Design

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

Gradient-index lens design with quasi-conformal transformation optics for energy concentration

2013 ◽  
Author(s):  
Douglas H. Werner ◽  
Jeremiah P. Turpin ◽  
Donovan Brocker ◽  
Xiande Wang ◽  
Zhi Hao Jiang ◽  
...  
Keyword(s):  
Conformal Transformation ◽  
Transformation Optics ◽  
Energy Concentration ◽  
Lens Design ◽  
Gradient Index ◽  
Gradient Index Lens

scholarly journals Highly Directional Small-Size Antenna Designed with Homogeneous Transformation Optics

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Zuojia Wang ◽  
Lian Shen ◽  
Jun Chen ◽  
Huaping Wang ◽  
Faxin Yu ◽  
...  
Keyword(s):  
Coordinate Transformation ◽  
Regular Polygon ◽  
Virtual Space ◽  
Transformation Optics ◽  
Antenna Design ◽  
Radiation Patterns ◽  
Antenna Aperture ◽  
Material Parameters ◽  
Large Size

Achieving high directivity antenna usually requires a large size antenna aperture in traditional antenna design. Previous work shows that, with the help of metamaterials and transformation optics, a small size antenna can perform as high directivity as a large size antenna, but the material parameters are inhomogeneous and difficult to realize. In this paper, we propose a linear homogeneous coordinate transformation to design the small size antenna. Distinguishing from inhomogeneous transformation, we construct a regular polygon in virtual space and then divide it into several triangle segments. By applying linear homogeneous coordinate transformation, the antenna devices can be greatly compressed without disturbing the radiation patterns by using homogeneous metamaterial substrates. The material parameters of the antenna designed from this method are homogeneous and easy to fabricate. Square and hexagonal antenna structures are numerically demonstrated to illustrate the validity of our methodology.

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.

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