Exact analytical solution for fields in a lossy cylindrical structure with hyperbolic tangent gradient index metamaterials

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• 作者：Mariana Dalarsson ; Zoran Jakšić
• 关键词：Metamaterials ; Gradient index optics ; Transformation optics ; Negative refractive index ; Helmholtz equations
• 刊名：Optical and Quantum Electronics
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：48
• 期：3
• 全文大小：825 KB
• 参考文献：Cai, W., Chettiar, U.K., Kildishev, A.V., Shalaev, V.M.: Optical cloaking with metamaterials. Nat. Photonics 1, 224–227 (2007)ADS CrossRef
  Dalarsson, M., Tassin, P.: Analytical solution for wave propagation through a graded index interface between a right-handed and a left-handed material. Opt. Express 17, 6747–6752 (2009)ADS CrossRef
  Dalarsson, M., Norgren, M., Asenov, T., Dončov, N., Jakšić, Z.: Exact analytical solution for fields in gradient index metamaterials with different loss factors in negative and positive refractive index segments. J. Nanophotonics 7, 073086 (2013)CrossRef
  Pendry, J.B., Schurig, D., Smith, D.R.: Controlling electromagnetic fields. Science 312, 1780–1782 (2006)ADS MathSciNet CrossRef MATH
  Shvartsburg, A.B., Maradudin, A.A.: Waves in Gradient Metamaterials. World Scientific, Singapore (2013)CrossRef
  
• 作者单位：Mariana Dalarsson (1)
  Zoran Jakšić (2)
  
  1. Division of Electromagnetic Engineering, School of Electrical Engineering, Royal Institute of Technology, 100 44, Stockholm, Sweden
  2. Centre of Microelectronic Technologies, Institute of Chemistry, Technology and Metallurgy, University of Belgrade, Njegoševa 12, 11000, Belgrade, Serbia
  
• 刊物主题：Optics, Optoelectronics, Plasmonics and Optical Devices; Electrical Engineering; Characterization and Evaluation of Materials; Computer Communication Networks;
• 出版者：Springer US
• ISSN：1572-817X

文摘

The advent of metamaterials with tailorable frequency dispersion ensured the emergence of transformation optics with proposed applications that include cloaking devices, superconcentrators, superabsorbers, beam shapers and benders, field and polarization rotators, etc. A crucial property of interest for transformation optics is the possibility to custom design the spatial dependence of optical properties, i.e. to attain a gradient of effective refractive index. The cylindrical geometry has been one of the prototypal proposed forms and actually the first theoretical and experimental cloaking devices had radial symmetry. In this contribution we present an exact analytical approach to the solution of Helmholtz’ equations applied to radial propagation of electromagnetic waves through a cylinder containing negative and positive refractive index parts. A hyperbolic tangent gradient of refractive index is assumed. Our approach is inspired by the correspondence between transformation optics and quantum mechanics. A remarkably simple exact analytical solution is derived that takes into account realistic losses in negative-positive refractive index material composites.