• Advanced Photonics
  • Vol. 1, Issue 1, 014001 (2019)
Jingjing Zhang1, John B. Pendry2、*, and Yu Luo1、*
Author Affiliations
  • 1Nanyang Technological University, School of Electrical and Electronic Engineering, Singapore
  • 2Imperial College London, Blackett Laboratory, Department of Physics, London, United Kingdom
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    Transformation optics is a mathematical method that is based on the geometric interpretation of Maxwell’s equations. This technique enables a direct link between a desired electromagnetic (EM) phenomenon and the material response required for its occurrence, providing a powerful and intuitive design tool for the control of EM fields on all length scales. With the unprecedented design flexibility offered by transformation optics (TO), researchers have demonstrated a host of interesting devices, such as invisibility cloaks, field concentrators, and optical illusion devices. Recently, the applications of TO have been extended to the subwavelength scale to study surface plasmon-assisted phenomena, where a general strategy has been suggested to design and study analytically various plasmonic devices and investigate the associated phenomena, such as nonlocal effects, Casimir interactions, and compact dimensions. We review the basic concept of TO and its advances from macroscopic to the nanoscale regimes.

    1 Introduction

    Transformation optics (TO) is an emerging technique for the design of advanced electromagnetic (EM) media. It is based on the concept that Maxwell’s equations can be written in a form-invariant manner under coordinate transformations, such that only the permittivity and permeability tensors are modified.13 With the coordinate transformation applied to the constitutive parameters, EM waves in one coordinate system can be described as if propagating in a different one. The geometric interpretation of Maxwell’s equations utilized in the TO approach provides a powerful and intuitive design tool for the manipulation of EM fields on all length scales.

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    Jingjing Zhang, John B. Pendry, Yu Luo. Transformation optics from macroscopic to nanoscale regimes: a review[J]. Advanced Photonics, 2019, 1(1): 014001
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    Category: Reviews
    Received: Nov. 11, 2018
    Accepted: Dec. 6, 2018
    Published Online: Feb. 18, 2019
    The Author Email: Pendry John B. (j.pendry@imperial.ac.uk), Luo Yu (luoyu@ntu.edu.sg)