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Arbitrary Shaped Reciprocal External Cloak with Nonsingular and Homogeneous Material Parameters Using Expanding Coordinate Transformation

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Abstract

Arbitrary shaped reciprocal external cloak with homogeneous and nonsingular material parameters in complementary and core regions is designed by decomposing cloak geometry into several triangles. In each triangle, proposed expanding coordinate transformation is applied to cancel the space and a two-step compressing transformation is applied to restore the canceled space. The choice of transformation function is to ensure homogeneous material parameters which is the main advantage of the proposed design. Proposed design procedure is a generalized approach and can be used for any arbitrary polygonal geometries. Full-wave simulations confirm the theoretical design, and it is observed that proposed cloak shows significant invisibility effect in hiding multiple objects in the cloaked region for different cloak geometries.

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References

  1. Pendry JB, Schurig D, Smith DR (2006) Controlling electromagnetic fields. Science 312:1780–1782

    Article  CAS  PubMed  Google Scholar 

  2. Cummer SA, Popa BI, Schurig D, Smith DR, Pendry JB (2006) Full-wave simulations of electromagnetic cloaking structures. Phys Rev E 74:036621

    Article  CAS  Google Scholar 

  3. Schurig D, Mock JJ, Justice BJ, Cummer SA, Pendry JB, Starr AF, Smith DR (2006) Metamaterial electromagnetic cloak at microwave frequencies. Science 314:977–980

    Article  CAS  PubMed  Google Scholar 

  4. Gallina I, Castaldi G, Galdi V, Alu A, Engheta N (2010) General class of metamaterial transformation slabs. Phys Rev B 81:125124

    Article  CAS  Google Scholar 

  5. Popa BI, Cummer SA (2009) Cloaking with optimized homogeneous anisotropic layers. Phys Rev A 79:023806

    Article  CAS  Google Scholar 

  6. Ergin T, Stenger N, Brenner P, Pendry JB, Wegener M (2010) Three-dimensional invisibility cloak at optical wavelengths. Science 328:337–339

    Article  CAS  PubMed  Google Scholar 

  7. Rajput A, Srivastava KV (2014) Design of a two-dimensional metamaterial cloak with minimum scattering using a quadratic transformation function. J Appl Phys 116:124501

    Article  CAS  Google Scholar 

  8. Pendry JB, Ramakrishna SA (2003) Focusing light using negative refraction. J Phys Condens Matter 15:6345–6364

    Article  CAS  Google Scholar 

  9. Lai Y, Chen H, Zhang ZQ, Chan CT (2009) Complemenatry media invisibility cloak that cloaks objects at a distance outside the cloaking shell. Phys Rev Lett 102:093901

  10. Forouzeshfard MR, Farzad MH (2015) Twin invisibility cloak at a distance and its illusory properties. Plasmonics 10(1):125–130

    Article  Google Scholar 

  11. Titan Y, Lu C,Wang RF, Mei ZL An exterior anti-cloak, Plasmonics. doi:10.1007/s11468-015-0164-3

  12. Han T, Tang X, Xiao F (2009) External cloak with homogeneous material. J Phys D Appl Phys 42:235403

    Article  CAS  Google Scholar 

  13. Vura P, Rajput A, Srivastava KV (2016) Composite shaped external cloaks with homogeneous material properties. IEEE Antennas Wirel Propag Lett 15:282–285

    Article  Google Scholar 

  14. Yang CF, Huang M, Yang JJ, Xiao Z, Peng JH (2009) An external cloak with arbitrary cross section based on complementary medium. Prog Electromagn Res M 10:13–24

    Article  Google Scholar 

  15. Yang C, Yang J, Huang M, Xiao Z, Peng J (2011) An external cloak with arbitrary cross section based on complementary medium and coordinate transformation. Opt Express 19:1147–1157

    Article  CAS  PubMed  Google Scholar 

  16. Yang JJ, Huang M, Yang CF, Yu J (2011) Reciprocal invisibility cloak based on complementary media. Eur Phys J D 61:731–736

    Article  Google Scholar 

  17. Vura P, Rajput A, Saurav K, Srivastava KV (2015) Hexagonal shaped reciprocal external cloak with homogeneous material properties. In: Proc. of IEEE AP-s Int. sym, Vancouver, British Columbia, Canada, pp 526–527

  18. Yang JJ, Huang M, Li Y L, Li TH, Sun J (2011) Reciprocal invisible cloak with homogeneous metamaterials. Prog Electromagn Res M 21:105–115

    Article  Google Scholar 

  19. Han T, Qiu C, Tang X (2010) An arbitrarily shaped cloak with nonsingular and homogeneous parameters designed using a twofold transformation. J Opt 12:095103

    Article  Google Scholar 

  20. Chen H, Liang Z, Yao P, Jiang X, Ma H, Chan CT (2007) Extending the bandwidth of electromagnetic cloaks. Phys Rev B 76:241104(R)

    Article  CAS  Google Scholar 

  21. Alitalo P, Culhaoglu AE, Osipov AV, Thurner S, Kemptner E, Tretyakov SA (2012) Experimental characterization of a broadband transmission-line cloak in free space. IEEE Trans Antennas Propag 60(10):4963–4968

    Article  Google Scholar 

  22. Smith DR, Padilla WJ, Vier DC, Nemat-Nasser SC, Schultz S (2000) Composite medium with simultaneously negative permeability and permittivity. Phys Rev Lett 84:4181–4187

    Google Scholar 

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Authors and Affiliations

  1. Department of Electrical Engineering, Indian Institute of Technology Kanpur, Kanpur, 208016, India

    Nagadastagiri Reddy C, Archana Rajput & Kumar Vaibhav Srivastava

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  1. Nagadastagiri Reddy C
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  2. Archana Rajput
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  3. Kumar Vaibhav Srivastava
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Correspondence to Archana Rajput.

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C, N.R., Rajput, A. & Srivastava, K.V. Arbitrary Shaped Reciprocal External Cloak with Nonsingular and Homogeneous Material Parameters Using Expanding Coordinate Transformation. Plasmonics 12, 771–781 (2017). https://doi.org/10.1007/s11468-016-0324-0

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  • DOI: https://doi.org/10.1007/s11468-016-0324-0

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