Abstract

We present a finite-element analysis of a diffraction problem involving a coated cylinder enabling the electromagnetic cloaking of a lossy object with sharp wedges located within its core. The coating consists of a heterogeneous anisotropic material deduced from a geometrical transformation as first proposed by Pendry [Science 312, 1780 (2006)]. We analyze the electromagnetic response of the cloak in the presence of an electric line source in p polarization and a loop of magnetic current in s polarization. We find that the electromagnetic field radiated by such a source located a fraction of a wavelength from the cloak is perturbed by less than 1%. When the source lies in the coating, it seems to radiate from a shifted location.

© 2007 Optical Society of America

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  1. J. B. Pendry, D. Shurig, and D. R. Smith, Science 312, 1780 (2006).
  2. U. Leonhardt, Science 312, 1777 (2006).
  3. U. Leonhardt and T. G. Philbin, New J. Phys. 8, 247 (2006).
    [CrossRef]
  4. A. Alu and N. Engheta, Phys. Rev. E 95, 016623 (2005).
  5. G. Milton and N. A. Nicorovici, Proc. R. Soc. London, Ser. A 462, 3027 (2006).
    [CrossRef]
  6. A. J. Ward and J. B. Pendry, J. Mod. Opt. 43, 73 (1996).
  7. A. Nicolet, J. F. Remacle, B. Meys, A. Genon, and W. Legros, J. Appl. Phys. 75, 6036 (1994).
  8. F. Zolla, G. Renversez, A. Nicolet, B. Kuhlmey, S. Guenneau, and D. Felbacq, Foundations of Photonic Crystal Fibres (Imperial College Press, 2005).
  9. D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).
  10. J. P. Bérenger, J. Comput. Phys. 114, 185 (1994).
    [CrossRef]

2006

J. B. Pendry, D. Shurig, and D. R. Smith, Science 312, 1780 (2006).

U. Leonhardt, Science 312, 1777 (2006).

U. Leonhardt and T. G. Philbin, New J. Phys. 8, 247 (2006).
[CrossRef]

G. Milton and N. A. Nicorovici, Proc. R. Soc. London, Ser. A 462, 3027 (2006).
[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).

2005

A. Alu and N. Engheta, Phys. Rev. E 95, 016623 (2005).

1996

A. J. Ward and J. B. Pendry, J. Mod. Opt. 43, 73 (1996).

1994

A. Nicolet, J. F. Remacle, B. Meys, A. Genon, and W. Legros, J. Appl. Phys. 75, 6036 (1994).

J. P. Bérenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

Alu, A.

A. Alu and N. Engheta, Phys. Rev. E 95, 016623 (2005).

Bérenger, J. P.

J. P. Bérenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

Cummer, S. A.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).

Engheta, N.

A. Alu and N. Engheta, Phys. Rev. E 95, 016623 (2005).

Felbacq, D.

F. Zolla, G. Renversez, A. Nicolet, B. Kuhlmey, S. Guenneau, and D. Felbacq, Foundations of Photonic Crystal Fibres (Imperial College Press, 2005).

Genon, A.

A. Nicolet, J. F. Remacle, B. Meys, A. Genon, and W. Legros, J. Appl. Phys. 75, 6036 (1994).

Guenneau, S.

F. Zolla, G. Renversez, A. Nicolet, B. Kuhlmey, S. Guenneau, and D. Felbacq, Foundations of Photonic Crystal Fibres (Imperial College Press, 2005).

Justice, B. J.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).

Kuhlmey, B.

F. Zolla, G. Renversez, A. Nicolet, B. Kuhlmey, S. Guenneau, and D. Felbacq, Foundations of Photonic Crystal Fibres (Imperial College Press, 2005).

Legros, W.

A. Nicolet, J. F. Remacle, B. Meys, A. Genon, and W. Legros, J. Appl. Phys. 75, 6036 (1994).

Leonhardt, U.

U. Leonhardt and T. G. Philbin, New J. Phys. 8, 247 (2006).
[CrossRef]

U. Leonhardt, Science 312, 1777 (2006).

Meys, B.

A. Nicolet, J. F. Remacle, B. Meys, A. Genon, and W. Legros, J. Appl. Phys. 75, 6036 (1994).

Milton, G.

G. Milton and N. A. Nicorovici, Proc. R. Soc. London, Ser. A 462, 3027 (2006).
[CrossRef]

Mock, J. J.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).

Nicolet, A.

A. Nicolet, J. F. Remacle, B. Meys, A. Genon, and W. Legros, J. Appl. Phys. 75, 6036 (1994).

F. Zolla, G. Renversez, A. Nicolet, B. Kuhlmey, S. Guenneau, and D. Felbacq, Foundations of Photonic Crystal Fibres (Imperial College Press, 2005).

Nicorovici, N. A.

G. Milton and N. A. Nicorovici, Proc. R. Soc. London, Ser. A 462, 3027 (2006).
[CrossRef]

Pendry, J. B.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).

J. B. Pendry, D. Shurig, and D. R. Smith, Science 312, 1780 (2006).

A. J. Ward and J. B. Pendry, J. Mod. Opt. 43, 73 (1996).

Philbin, T. G.

U. Leonhardt and T. G. Philbin, New J. Phys. 8, 247 (2006).
[CrossRef]

Remacle, J. F.

A. Nicolet, J. F. Remacle, B. Meys, A. Genon, and W. Legros, J. Appl. Phys. 75, 6036 (1994).

Renversez, G.

F. Zolla, G. Renversez, A. Nicolet, B. Kuhlmey, S. Guenneau, and D. Felbacq, Foundations of Photonic Crystal Fibres (Imperial College Press, 2005).

Schurig, D.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).

Shurig, D.

J. B. Pendry, D. Shurig, and D. R. Smith, Science 312, 1780 (2006).

Smith, D. R.

J. B. Pendry, D. Shurig, and D. R. Smith, Science 312, 1780 (2006).

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).

Starr, A. F.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).

Ward, A. J.

A. J. Ward and J. B. Pendry, J. Mod. Opt. 43, 73 (1996).

Zolla, F.

F. Zolla, G. Renversez, A. Nicolet, B. Kuhlmey, S. Guenneau, and D. Felbacq, Foundations of Photonic Crystal Fibres (Imperial College Press, 2005).

J. Appl. Phys.

A. Nicolet, J. F. Remacle, B. Meys, A. Genon, and W. Legros, J. Appl. Phys. 75, 6036 (1994).

J. Comput. Phys.

J. P. Bérenger, J. Comput. Phys. 114, 185 (1994).
[CrossRef]

J. Mod. Opt.

A. J. Ward and J. B. Pendry, J. Mod. Opt. 43, 73 (1996).

New J. Phys.

U. Leonhardt and T. G. Philbin, New J. Phys. 8, 247 (2006).
[CrossRef]

Phys. Rev. E

A. Alu and N. Engheta, Phys. Rev. E 95, 016623 (2005).

Proc. R. Soc. London, Ser. A

G. Milton and N. A. Nicorovici, Proc. R. Soc. London, Ser. A 462, 3027 (2006).
[CrossRef]

Science

J. B. Pendry, D. Shurig, and D. R. Smith, Science 312, 1780 (2006).

U. Leonhardt, Science 312, 1777 (2006).

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science 314, 977 (2006).

Other

F. Zolla, G. Renversez, A. Nicolet, B. Kuhlmey, S. Guenneau, and D. Felbacq, Foundations of Photonic Crystal Fibres (Imperial College Press, 2005).

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