Abstract

Axisymmetric photonic crystal structures may be designed to possess interesting optical properties, particularly when the photonic band structure of the material is highly anisotropic. We use finite element calculations to demonstrate an approximate electromagnetic cloaking effect imparted by a structure consisting of concentric silicon photonic crystal layers. The results show that it is possible to bend light around an object by simply using anisotropy. The calculations show that the cloaking mechanism is fundamentally different from Pendry’s approach. This design may work as a practical solution for optical cloaking.

© 2008 Optical Society of America

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References

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  1. U. Leonhardt, Science 312, 17777 (2006).
    [CrossRef]
  2. J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
    [CrossRef] [PubMed]
  3. 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).
    [CrossRef] [PubMed]
  4. W. Cai, U. K. Cahettiar, A. V. Kildishev, and V. M. Shalaev, Nat. Photonics 1, 224 (2007).
    [CrossRef]
  5. Z. Ruan, M. Yin, C. W. Neff, and M. Qiu, Phys. Rev. Lett. 99, 113903 (2007).
    [CrossRef] [PubMed]
  6. S. A. Cummer, B. Popa, D. Schurig, D. R. Smith, and J. Pendry, Phys. Rev. E 74, 036621 (2006).
    [CrossRef]
  7. A. Alu and N. Engheta, Phys. Rev. E 72, 016623 (2005).
    [CrossRef]
  8. H. J. Lezec, J. A. Dionne, and H. A. Atwater, Science 316, 5823 (2007).
    [CrossRef]
  9. D. W. Lynch and W. R. Hunter, Handbook of Optical Constants of Solids, E.D.Palik, ed. (Academic, 1991).

2007 (3)

W. Cai, U. K. Cahettiar, A. V. Kildishev, and V. M. Shalaev, Nat. Photonics 1, 224 (2007).
[CrossRef]

Z. Ruan, M. Yin, C. W. Neff, and M. Qiu, Phys. Rev. Lett. 99, 113903 (2007).
[CrossRef] [PubMed]

H. J. Lezec, J. A. Dionne, and H. A. Atwater, Science 316, 5823 (2007).
[CrossRef]

2006 (4)

U. Leonhardt, Science 312, 17777 (2006).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

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).
[CrossRef] [PubMed]

S. A. Cummer, B. Popa, D. Schurig, D. R. Smith, and J. Pendry, Phys. Rev. E 74, 036621 (2006).
[CrossRef]

2005 (1)

A. Alu and N. Engheta, Phys. Rev. E 72, 016623 (2005).
[CrossRef]

Nat. Photonics (1)

W. Cai, U. K. Cahettiar, A. V. Kildishev, and V. M. Shalaev, Nat. Photonics 1, 224 (2007).
[CrossRef]

Phys. Rev. E (2)

S. A. Cummer, B. Popa, D. Schurig, D. R. Smith, and J. Pendry, Phys. Rev. E 74, 036621 (2006).
[CrossRef]

A. Alu and N. Engheta, Phys. Rev. E 72, 016623 (2005).
[CrossRef]

Phys. Rev. Lett. (1)

Z. Ruan, M. Yin, C. W. Neff, and M. Qiu, Phys. Rev. Lett. 99, 113903 (2007).
[CrossRef] [PubMed]

Science (4)

U. Leonhardt, Science 312, 17777 (2006).
[CrossRef]

J. B. Pendry, D. Schurig, and D. R. Smith, Science 312, 1780 (2006).
[CrossRef] [PubMed]

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).
[CrossRef] [PubMed]

H. J. Lezec, J. A. Dionne, and H. A. Atwater, Science 316, 5823 (2007).
[CrossRef]

Other (1)

D. W. Lynch and W. R. Hunter, Handbook of Optical Constants of Solids, E.D.Palik, ed. (Academic, 1991).

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Figures (5)

Fig. 1
Fig. 1

Field and power distribution of a 2D cloaking device with an effective index that follows the ideal formalism, but with an effective conductivity of 500 S m under (a) a plane wave and (b) a Gaussian beam H = e 4.5 y 2 e i k x z ̂ illumination of 0.7 μ m . At right, the left-hand line represents the distribution of the transmitted power S n through the cloaking device and the right-hand line represents the power distribution when the device is not present.

Fig. 2
Fig. 2

Field distribution for a system containing one gold particle whose radius is (a) 6 and (b) 60 nm under plane-wave illumination of 0.6 μ m wavelength.

Fig. 3
Fig. 3

Axisymmetric silicon PC structure used to achieve an approximate cloaking effect, and the computational domain used in the finite element calculation.

Fig. 4
Fig. 4

Magnetic field and power distribution for the proposed cloaking structure with H-polarized incident light of (a) 0.7 and (b) 0.8 μ m under the same Gaussian beam incidence. The size of the cloaking device and the domain are the same as in Fig. 1. A test object with index of 3 is placed in the center.

Fig. 5
Fig. 5

(a) Diagram of the transmitted power ratio as a function of wavelength, which is the ratio of the transmitted power through the proposed silicon cloaking device (top curve) and the ideal cloaking device with effective conductivity of 500 S m (bottom curve) to the transmitted power without the cloaking device; (b) diagram of the normalized scattering width of the proposed silicon cloaking device (top curve) and the ideal cloaking device with effective conductivity of 500 S m (bottom curve).

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