Conformal Singularities and Topological Defects from Inverse Transformation Optics

Lin Xu, Runqiu He, Kan Yao, Jing Ming Chen, Chong Sheng, Ying Chen, Guoxiong Cai, Shining Zhu, Hui Liu, and Huanyang Chen
Phys. Rev. Applied 11, 034072 – Published 29 March 2019

Abstract

The conventional approach in transformation optics (TO) starts with a virtual space and determines a complicated material profile in physical space to achieve unconventional phenomena, such as invisibility cloaks. We demonstrate that complicated materials can be effectively fabricated by virtual space based on the reversed process of TO in two dimensions. We first show that a conformal singularity of a refractive-index profile, with either zero or infinity resulting from a power conformal mapping w=zα, is equivalent to a topological defect with positive charge or negative charge. The splitting effect and illusion effect are induced by the conformal singularities and related to the two-dimensional topological defects. Based on the equivalence, we fabricate a device of such a topological defect with a positive charge in experiments. Moreover, we observe its related light-bending functionality with laser beams. It has potential important applications in designing on-chip optical devices.

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  • Received 21 September 2018
  • Revised 13 February 2019

DOI:https://doi.org/10.1103/PhysRevApplied.11.034072

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Lin Xu1,2,3, Runqiu He2, Kan Yao4, Jing Ming Chen2, Chong Sheng2, Ying Chen1, Guoxiong Cai1, Shining Zhu2, Hui Liu2,*, and Huanyang Chen1,†

  • 1Institute of Electromagnetics and Acoustics and Key Laboratory of Electromagnetic Wave Science and Detection Technology, Xiamen University, Xiamen 361005, China
  • 2National Laboratory of Solid State Microstructures and School of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing, Jiangsu 210093, China
  • 3Institutes of Physical Science and Information Technology, Key Laboratory of Opto-Electronic Information Acquisition and Manipulation of Ministry of Education, Anhui University, Hefei 230601, China
  • 4Department of Mechanical Engineering and Texas Materials Institute, the University of Texas at Austin, Austin, Texas 78712, USA

  • *liuhui@nju.edu.cn
  • kenyon@xmu.edu.cn

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Issue

Vol. 11, Iss. 3 — March 2019

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