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POINTWISE BEHAVIOR OF THE POTENTIAL IN ANOMALOUS LOCALIZED RESONANCE: A NUMERICAL STUDY

  • Received : 2014.12.26
  • Accepted : 2015.03.11
  • Published : 2015.03.30

Abstract

It is discovered in [7] that a dielectric material is coated by a plasmonic material of negative permittivity with dissipation, then cloaking by anomalous localized resonance may occur as the dissipation tends to zero. In this paper, we investigate numerically the pointwise behavior of the potential in the shell when cloaking by anomalous localized resonance (CALR) occurs. By changing locations a dipole source, we can observe some localizing properties of the potential in the shell.

Keywords

References

  1. H. Ammari, G. Ciraolo, H. Kang, H. Lee and G.W. Milton, Spectral theory of a Neumann-poincare-type operator and analysis of cloaking due to anomalous localized resonance, Arch. Rational Mech. Anal. 208 (2013), 667-692. https://doi.org/10.1007/s00205-012-0605-5
  2. H. Ammari, G. Ciraolo, H. Kang, H. Lee and G.W. Milton, Anomalous localized resonance using a folded geometry in three dimensions, Proc. R. Soc. A 469 (2013), 20130048. https://doi.org/10.1098/rspa.2013.0048
  3. H. Ammari, G. Ciraolo, H. Kang, H. Lee and G.W. Milton, Spectral theory of a Neumann-Poincare-type operator and analysis of anomalous localized resonance II, Contemporary Math. 615 (2014), 1-14. https://doi.org/10.1090/conm/615/12244
  4. O.P. Bruno and S. Lintner, Superlens-cloaking of small dielectric bodies in the quasi-static regime, J. Appl. Phys. 102 (2007), 124502. https://doi.org/10.1063/1.2821759
  5. D. Chung, H. Kang, H. Lee, K. Kim and H. Lee, Cloaking due to anomalous localized resonance in plasmonic structures of confocal ellipses, (2014).
  6. R.V. Kohn, J. Lu, B. Schweizer and M.I. Weinstein, A variational perspective on cloaking by anomalous localized resonance, Commun Math Phys 328 (2014), 1-27. https://doi.org/10.1007/s00220-014-1943-y
  7. G.W. Milton and N.-A.P. Niorovici, On the cloaking effects associated with anomalous localized resonance, Proc. R. Soc. A 462 (2006), 3027-3059. https://doi.org/10.1098/rspa.2006.1715
  8. G.W. Milton, N.-A.P. Nicorovici, R.C. McPhedran, Opaque perfect lenses, Physica B 394 (2007), 171-175. https://doi.org/10.1016/j.physb.2006.12.010
  9. G.W Milton, N.-A.P. Nicorovici, R.C. McPhedran and L.C. Botten, Quasistatic cloaking of two-dimensional polarizable discrete systems by anomalous resonance, Optics Express 15 (2007), 6314-6323. https://doi.org/10.1364/OE.15.006314