Transformational plasmonics: cloak, concentrator and rotator for SPPs

doi:10.1364/OE.18.012027

Transformational plasmonics: cloak, concentrator and rotator for SPPs

Muamer Kadic, Sebastien Guenneau, and Stefan Enoch »View Author Affiliations

Optics Express, Vol. 18, Issue 11, pp. 12027-12032 (2010)
http://dx.doi.org/10.1364/OE.18.012027

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Abstract
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Abstract

We adapt tools of transformation optics to surface plasmon polaritons (SPPs) propagating at the interface between two anisotropic media of opposite permittivity sign. We identify the role played by entries of anisotropic heterogeneous tensors of permittivity and permeability-deduced from a coordinate transformation- in the dispersion relation governing propagation of SPPs. We apply this concept to an invisibility cloak, a concentrator and a rotator for SPPs.

OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(240.0240) Optics at surfaces : Optics at surfaces
(240.6680) Optics at surfaces : Surface plasmons
(260.2110) Physical optics : Electromagnetic optics
(160.3918) Materials : Metamaterials

ToC Category:
Optics at Surfaces

History
Original Manuscript: April 22, 2010
Revised Manuscript: May 20, 2010
Manuscript Accepted: May 20, 2010
Published: May 21, 2010

Citation
Muamer Kadic, Sebastien Guenneau, and Stefan Enoch, "Transformational plasmonics: cloak, concentrator and rotator for SPPs," Opt. Express 18, 12027-12032 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-11-12027

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References

S. A. Ramakrishna, and T. M. Grzegorczyk, Physics and Applications of Negative Refractive Index Materials (CRC Press, 2008). [CrossRef]
J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling Electromagnetic Fields,” Science 312, 1780 (2006). [CrossRef] [PubMed]
U. Leonhardt, “Optical Conformal Mapping,” Science 312, 1777 (2006). [CrossRef] [PubMed]
D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial Electromagnetic Cloak at Microwave Frequencies,” Science 314, 977 (2006). [CrossRef] [PubMed]
F. Zolla, S. Guenneau, A. Nicolet, and J. B. Pendry, “Electromagnetic analysis of cylindrical invisibility cloaks and the mirage effect,” Opt. Lett. 32, 1069–1071 (2007). [CrossRef] [PubMed]
A. Greenleaf, M. Lassas, and G. Uhlmann, “On nonuniqueness for Calderons inverse problem,” Math. Res. Lett. 10, 685–693 (2003).
T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Woff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667 (1998). [CrossRef]
J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, “Mimicking surface plasmons with structured surfaces,” Science 305, 847 (2004). [CrossRef] [PubMed]
N. A. Nicorovici, R. C. McPhedran, and G. W. Milton, “Optical and dielectric properties of partially resonant composites,” Phys. Rev. B 49, 8479–8482 (1994). [CrossRef]
A. Alu, and N. Engheta, “Achieving transparency with plasmonic and metamaterial coatings,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 72, 016623 (2005). [CrossRef]
F. J. Garcia de Abajo, G. Gomez-Santos, L. A. Blanco, A. G. Borisov, and S. V. Shabanov, “Tunneling Mechanism of Light Transmission through Metallic Films,” Phys. Rev. Lett. 95, 067403 (2005). [CrossRef]
B. Baumeier, T. A. Leskova, and A. A. Maradudin, “Cloaking from surface plasmon polaritons by a circular array of point scatterers,” Phys. Rev. Lett. 103, 246809 (2009). [CrossRef]
M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations,” Photon. Nanostruct. Fundam Appl. 6(1), 87–95 (2008). [CrossRef]
Y. Luo, J. Zhang, J. Wu, and H. Chen, “Interaction of an electromagnetic wave with a cone-shaped invisibility cloak and polarization rotator,” Phys. Rev. B 78(12), 125108 (2008). [CrossRef]
P. A. Huidobro, M. L. Nesterov, L. Martin-Moreno, and F. J. García-Vidal, “Transformation Optics for Plasmonics,” http://arxiv.org/abs/1003.1154.
Y. Liu, T. Zentgraf, G. Bartal, and X. Zhang, “Transformational Plasmon Optics,” http://arxiv.org/abs/1003.1326.
J. Renger, M. Kadic, G. Dupont, S. Acimovic, S. Guenneau, R. Quidant, and S. Enoch, “Hidden Progress: Broadband plasmonic invisibility,” http://arxiv.org/abs/1003.5476

Alu, A.
Baumeier, B.
Blanco, L. A.
Borisov, A. G.
Chen, H.
Cummer, S. A.
Ebbesen, T. W.
Engheta, N.
Garcia de Abajo, F. J.
Garcia-Vidal, F. J.
Ghaemi, H. F.
Gomez-Santos, G.
Greenleaf, A.
Guenneau, S.
Justice, B. J.
Lassas, M.
Leonhardt, U.
Leskova, T. A.
Lezec, H. J.
Luo, Y.
Maradudin, A. A.
Martin-Moreno, L.
McPhedran, R. C.
Milton, G. W.
Mock, J. J.
Nicolet, A.
Nicorovici, N. A.
Pendry, J. B.
Rahm, M.
Roberts, D. A.
Schurig, D.
Shabanov, S. V.
Smith, D. R.
Starr, A. F.
Thio, T.
Uhlmann, G.
Woff, P. A.
Wu, J.
Zhang, J.
Zolla, F.

Math. Res. Lett.

A. Greenleaf, M. Lassas, and G. Uhlmann, “On nonuniqueness for Calderons inverse problem,” Math. Res. Lett. 10, 685–693 (2003).

Nature

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Woff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667 (1998). [CrossRef]

Opt. Lett.

F. Zolla, S. Guenneau, A. Nicolet, and J. B. Pendry, “Electromagnetic analysis of cylindrical invisibility cloaks and the mirage effect,” Opt. Lett. 32, 1069–1071 (2007). [CrossRef] [PubMed]

Photon. Nanostruct. Fundam Appl.

M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations,” Photon. Nanostruct. Fundam Appl. 6(1), 87–95 (2008). [CrossRef]

Phys. Rev. B

Y. Luo, J. Zhang, J. Wu, and H. Chen, “Interaction of an electromagnetic wave with a cone-shaped invisibility cloak and polarization rotator,” Phys. Rev. B 78(12), 125108 (2008). [CrossRef]
N. A. Nicorovici, R. C. McPhedran, and G. W. Milton, “Optical and dielectric properties of partially resonant composites,” Phys. Rev. B 49, 8479–8482 (1994). [CrossRef]

Phys. Rev. E Stat. Nonlin. Soft Matter Phys.

A. Alu, and N. Engheta, “Achieving transparency with plasmonic and metamaterial coatings,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 72, 016623 (2005). [CrossRef]

Phys. Rev. Lett.

F. J. Garcia de Abajo, G. Gomez-Santos, L. A. Blanco, A. G. Borisov, and S. V. Shabanov, “Tunneling Mechanism of Light Transmission through Metallic Films,” Phys. Rev. Lett. 95, 067403 (2005). [CrossRef]
B. Baumeier, T. A. Leskova, and A. A. Maradudin, “Cloaking from surface plasmon polaritons by a circular array of point scatterers,” Phys. Rev. Lett. 103, 246809 (2009). [CrossRef]

Science

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling Electromagnetic Fields,” Science 312, 1780 (2006). [CrossRef] [PubMed]
U. Leonhardt, “Optical Conformal Mapping,” Science 312, 1777 (2006). [CrossRef] [PubMed]
D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial Electromagnetic Cloak at Microwave Frequencies,” Science 314, 977 (2006). [CrossRef] [PubMed]
J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, “Mimicking surface plasmons with structured surfaces,” Science 305, 847 (2004). [CrossRef] [PubMed]

Other

P. A. Huidobro, M. L. Nesterov, L. Martin-Moreno, and F. J. García-Vidal, “Transformation Optics for Plasmonics,” http://arxiv.org/abs/1003.1154.
Y. Liu, T. Zentgraf, G. Bartal, and X. Zhang, “Transformational Plasmon Optics,” http://arxiv.org/abs/1003.1326.
J. Renger, M. Kadic, G. Dupont, S. Acimovic, S. Guenneau, R. Quidant, and S. Enoch, “Hidden Progress: Broadband plasmonic invisibility,” http://arxiv.org/abs/1003.5476
S. A. Ramakrishna, and T. M. Grzegorczyk, Physics and Applications of Negative Refractive Index Materials (CRC Press, 2008). [CrossRef]

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[1] S. A. Ramakrishna, and T. M. Grzegorczyk, Physics and Applications of Negative Refractive Index Materials (CRC Press, 2008). [CrossRef]

[2] J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling Electromagnetic Fields,” Science 312, 1780 (2006). [CrossRef] [PubMed]

[3] U. Leonhardt, “Optical Conformal Mapping,” Science 312, 1777 (2006). [CrossRef] [PubMed]

[4] D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial Electromagnetic Cloak at Microwave Frequencies,” Science 314, 977 (2006). [CrossRef] [PubMed]

[5] F. Zolla, S. Guenneau, A. Nicolet, and J. B. Pendry, “Electromagnetic analysis of cylindrical invisibility cloaks and the mirage effect,” Opt. Lett. 32, 1069–1071 (2007). [CrossRef] [PubMed]

[6] A. Greenleaf, M. Lassas, and G. Uhlmann, “On nonuniqueness for Calderons inverse problem,” Math. Res. Lett. 10, 685–693 (2003).

[7] T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Woff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667 (1998). [CrossRef]

[8] J. B. Pendry, L. Martin-Moreno, and F. J. Garcia-Vidal, “Mimicking surface plasmons with structured surfaces,” Science 305, 847 (2004). [CrossRef] [PubMed]

[9] N. A. Nicorovici, R. C. McPhedran, and G. W. Milton, “Optical and dielectric properties of partially resonant composites,” Phys. Rev. B 49, 8479–8482 (1994). [CrossRef]

[10] A. Alu, and N. Engheta, “Achieving transparency with plasmonic and metamaterial coatings,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 72, 016623 (2005). [CrossRef]

[11] F. J. Garcia de Abajo, G. Gomez-Santos, L. A. Blanco, A. G. Borisov, and S. V. Shabanov, “Tunneling Mechanism of Light Transmission through Metallic Films,” Phys. Rev. Lett. 95, 067403 (2005). [CrossRef]

[12] B. Baumeier, T. A. Leskova, and A. A. Maradudin, “Cloaking from surface plasmon polaritons by a circular array of point scatterers,” Phys. Rev. Lett. 103, 246809 (2009). [CrossRef]

[13] M. Rahm, D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, “Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell’s equations,” Photon. Nanostruct. Fundam Appl. 6(1), 87–95 (2008). [CrossRef]

[14] Y. Luo, J. Zhang, J. Wu, and H. Chen, “Interaction of an electromagnetic wave with a cone-shaped invisibility cloak and polarization rotator,” Phys. Rev. B 78(12), 125108 (2008). [CrossRef]

[15] P. A. Huidobro, M. L. Nesterov, L. Martin-Moreno, and F. J. García-Vidal, “Transformation Optics for Plasmonics,” http://arxiv.org/abs/1003.1154.

[16] Y. Liu, T. Zentgraf, G. Bartal, and X. Zhang, “Transformational Plasmon Optics,” http://arxiv.org/abs/1003.1326.

[17] J. Renger, M. Kadic, G. Dupont, S. Acimovic, S. Guenneau, R. Quidant, and S. Enoch, “Hidden Progress: Broadband plasmonic invisibility,” http://arxiv.org/abs/1003.5476

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Transformational plasmonics: cloak, concentrator and rotator for SPPs

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Abstract

References

Math. Res. Lett.

Nature

Opt. Lett.

Photon. Nanostruct. Fundam Appl.

Phys. Rev. B

Phys. Rev. E Stat. Nonlin. Soft Matter Phys.

Phys. Rev. Lett.

Science

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