Abstract

A near-perfect, non-singular cylindrical invisibility cloak with diamond cross section is achieved by a two-step coordinate transformation. A small line segment is stretched and then blown up into a diamond space, and finally the cloak consisting of four kinds and eight blocks of homogeneous transformation media is obtained. Numerical simulations confirm the well performance of the cloak. The operation bandwidth of the cloak is also investigated. Our scheme is promising to create a simple and well-performed cloak in practice.

© 2009 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
    [CrossRef] [PubMed]
  2. S. A. Cummer, B. I. Popa, D. Schurig, D. R. Smith, and J. Pendry, “Full-wave simulations of electromagnetic cloaking structures,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(3), 036621 (2006).
    [CrossRef] [PubMed]
  3. F. Zolla, S. Guenneau, A. Nicolet, and J. B. Pendry, “Electromagnetic analysis of cylindrical invisibility cloaks and the mirage effect,” Opt. Lett. 32(9), 1069–1071 (2007).
    [CrossRef] [PubMed]
  4. H. Chen, B. I. Wu, B. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99(6), 063903 (2007).
    [CrossRef] [PubMed]
  5. 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(5801), 977–980 (2006).
    [CrossRef] [PubMed]
  6. W. Cai, U. K. Chettiar, A. V. Kildishev, V. M. Shalaev, and G. W. Milton, “Nonmagnetic Cloak with Minimized Scattering,” Appl. Phys. Lett. 91(11), 111105 (2007).
    [CrossRef]
  7. W. Yan, M. Yan, and M. Qiu, “Non-Magnetic Simplified Cylindrical Cloak with Suppressed Zeroth Order Scattering,” Appl. Phys. Lett. 93(2), 021909 (2008).
    [CrossRef]
  8. B. I. Popa and S. A. Cummer, “Cloaking with Optimized Homogeneous Anisotropic Layers,” Phys. Rev. A 79(2), 023806 (2009).
    [CrossRef]
  9. W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical Cloaking with Metamaterials,” Nat. Photonics 1(4), 224–227 (2007).
    [CrossRef]
  10. B. L. Zhang, H. S. Chen, and B. I. Wu, “Limitations of high-order transformation and incident angle on simplified invisibility cloaks,” Opt. Express 16(19), 14655–14660 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-19-14655 .
    [CrossRef] [PubMed]
  11. M. Yan, Z. Ruan, and M. Qiu, “Scattering characteristics of simplified cylindrical invisibility cloaks,” Opt. Express 15(26), 17772–17782 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-26-17772 .
    [CrossRef] [PubMed]
  12. G. Isic, R. Gajic, B. Novakovic, Z. V. Popovic, and K. Hingerl, “Radiation and scattering from imperfect cylindrical electromagnetic cloaks,” Opt. Express 16(3), 1413–1422 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-3-1413 .
    [CrossRef] [PubMed]
  13. M. Yan, Z. Ruan, and M. Qiu, “Cylindrical invisibility cloak with simplified material parameters is inherently visible,” Phys. Rev. Lett. 99(23), 233901 (2007).
    [CrossRef] [PubMed]
  14. W. X. Jiang, T. J. Cui, X. M. Yang, Q. Cheng, R. Liu, and D. R. Smith, “Invisibility Cloak without Singularity,” Appl. Phys. Lett. 93(19), 194102 (2008).
    [CrossRef]
  15. G. X. Yu, W. X. Jiang, and T. J. Cui, “Invisible slab cloaks via embedded optical transformation,” Appl. Phys. Lett. 94(4), 041904 (2009).
    [CrossRef]
  16. M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical design of reflectionless complex media by finite embedded coordinate transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).
    [CrossRef] [PubMed]
  17. J. S. Li and J. B. Pendry, “Hiding under the carpet: a new strategy for cloaking,” Phys. Rev. Lett. 101(20), 203901 (2008).
    [CrossRef] [PubMed]
  18. E. Kallos, C. Argyropoulos, and Y. Hao, “Ground-plane quasicloaking for free space,” Phys. Rev. A 79(6), 063825 (2009).
    [CrossRef]
  19. K. Guven, E. Saenz, R. Gonzalo, E. Ozbay, and S. Tretyakov, “Electromagnetic cloaking with canonical spiral inclusions,” N. J. Phys. 10(11), 115037 (2008).
    [CrossRef]
  20. H. Y. Chen and C. T. Chan, “Electromagnetic wave manipulation by layered systems using the transformation media concept,” Phys. Rev. B 78(5), 054204 (2008).
    [CrossRef]

2009

B. I. Popa and S. A. Cummer, “Cloaking with Optimized Homogeneous Anisotropic Layers,” Phys. Rev. A 79(2), 023806 (2009).
[CrossRef]

G. X. Yu, W. X. Jiang, and T. J. Cui, “Invisible slab cloaks via embedded optical transformation,” Appl. Phys. Lett. 94(4), 041904 (2009).
[CrossRef]

E. Kallos, C. Argyropoulos, and Y. Hao, “Ground-plane quasicloaking for free space,” Phys. Rev. A 79(6), 063825 (2009).
[CrossRef]

2008

K. Guven, E. Saenz, R. Gonzalo, E. Ozbay, and S. Tretyakov, “Electromagnetic cloaking with canonical spiral inclusions,” N. J. Phys. 10(11), 115037 (2008).
[CrossRef]

H. Y. Chen and C. T. Chan, “Electromagnetic wave manipulation by layered systems using the transformation media concept,” Phys. Rev. B 78(5), 054204 (2008).
[CrossRef]

M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical design of reflectionless complex media by finite embedded coordinate transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).
[CrossRef] [PubMed]

J. S. Li and J. B. Pendry, “Hiding under the carpet: a new strategy for cloaking,” Phys. Rev. Lett. 101(20), 203901 (2008).
[CrossRef] [PubMed]

B. L. Zhang, H. S. Chen, and B. I. Wu, “Limitations of high-order transformation and incident angle on simplified invisibility cloaks,” Opt. Express 16(19), 14655–14660 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-19-14655 .
[CrossRef] [PubMed]

G. Isic, R. Gajic, B. Novakovic, Z. V. Popovic, and K. Hingerl, “Radiation and scattering from imperfect cylindrical electromagnetic cloaks,” Opt. Express 16(3), 1413–1422 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-3-1413 .
[CrossRef] [PubMed]

W. Yan, M. Yan, and M. Qiu, “Non-Magnetic Simplified Cylindrical Cloak with Suppressed Zeroth Order Scattering,” Appl. Phys. Lett. 93(2), 021909 (2008).
[CrossRef]

W. X. Jiang, T. J. Cui, X. M. Yang, Q. Cheng, R. Liu, and D. R. Smith, “Invisibility Cloak without Singularity,” Appl. Phys. Lett. 93(19), 194102 (2008).
[CrossRef]

2007

W. Cai, U. K. Chettiar, A. V. Kildishev, V. M. Shalaev, and G. W. Milton, “Nonmagnetic Cloak with Minimized Scattering,” Appl. Phys. Lett. 91(11), 111105 (2007).
[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical Cloaking with Metamaterials,” Nat. Photonics 1(4), 224–227 (2007).
[CrossRef]

F. Zolla, S. Guenneau, A. Nicolet, and J. B. Pendry, “Electromagnetic analysis of cylindrical invisibility cloaks and the mirage effect,” Opt. Lett. 32(9), 1069–1071 (2007).
[CrossRef] [PubMed]

H. Chen, B. I. Wu, B. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99(6), 063903 (2007).
[CrossRef] [PubMed]

M. Yan, Z. Ruan, and M. Qiu, “Cylindrical invisibility cloak with simplified material parameters is inherently visible,” Phys. Rev. Lett. 99(23), 233901 (2007).
[CrossRef] [PubMed]

M. Yan, Z. Ruan, and M. Qiu, “Scattering characteristics of simplified cylindrical invisibility cloaks,” Opt. Express 15(26), 17772–17782 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-26-17772 .
[CrossRef] [PubMed]

2006

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

S. A. Cummer, B. I. Popa, D. Schurig, D. R. Smith, and J. Pendry, “Full-wave simulations of electromagnetic cloaking structures,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(3), 036621 (2006).
[CrossRef] [PubMed]

Argyropoulos, C.

E. Kallos, C. Argyropoulos, and Y. Hao, “Ground-plane quasicloaking for free space,” Phys. Rev. A 79(6), 063825 (2009).
[CrossRef]

Cai, W.

W. Cai, U. K. Chettiar, A. V. Kildishev, V. M. Shalaev, and G. W. Milton, “Nonmagnetic Cloak with Minimized Scattering,” Appl. Phys. Lett. 91(11), 111105 (2007).
[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical Cloaking with Metamaterials,” Nat. Photonics 1(4), 224–227 (2007).
[CrossRef]

Chan, C. T.

H. Y. Chen and C. T. Chan, “Electromagnetic wave manipulation by layered systems using the transformation media concept,” Phys. Rev. B 78(5), 054204 (2008).
[CrossRef]

Chen, H.

H. Chen, B. I. Wu, B. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99(6), 063903 (2007).
[CrossRef] [PubMed]

Chen, H. S.

Chen, H. Y.

H. Y. Chen and C. T. Chan, “Electromagnetic wave manipulation by layered systems using the transformation media concept,” Phys. Rev. B 78(5), 054204 (2008).
[CrossRef]

Cheng, Q.

W. X. Jiang, T. J. Cui, X. M. Yang, Q. Cheng, R. Liu, and D. R. Smith, “Invisibility Cloak without Singularity,” Appl. Phys. Lett. 93(19), 194102 (2008).
[CrossRef]

Chettiar, U. K.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical Cloaking with Metamaterials,” Nat. Photonics 1(4), 224–227 (2007).
[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, V. M. Shalaev, and G. W. Milton, “Nonmagnetic Cloak with Minimized Scattering,” Appl. Phys. Lett. 91(11), 111105 (2007).
[CrossRef]

Cui, T. J.

G. X. Yu, W. X. Jiang, and T. J. Cui, “Invisible slab cloaks via embedded optical transformation,” Appl. Phys. Lett. 94(4), 041904 (2009).
[CrossRef]

W. X. Jiang, T. J. Cui, X. M. Yang, Q. Cheng, R. Liu, and D. R. Smith, “Invisibility Cloak without Singularity,” Appl. Phys. Lett. 93(19), 194102 (2008).
[CrossRef]

Cummer, S. A.

B. I. Popa and S. A. Cummer, “Cloaking with Optimized Homogeneous Anisotropic Layers,” Phys. Rev. A 79(2), 023806 (2009).
[CrossRef]

M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical design of reflectionless complex media by finite embedded coordinate transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).
[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(5801), 977–980 (2006).
[CrossRef] [PubMed]

S. A. Cummer, B. I. Popa, D. Schurig, D. R. Smith, and J. Pendry, “Full-wave simulations of electromagnetic cloaking structures,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(3), 036621 (2006).
[CrossRef] [PubMed]

Gajic, R.

Gonzalo, R.

K. Guven, E. Saenz, R. Gonzalo, E. Ozbay, and S. Tretyakov, “Electromagnetic cloaking with canonical spiral inclusions,” N. J. Phys. 10(11), 115037 (2008).
[CrossRef]

Guenneau, S.

Guven, K.

K. Guven, E. Saenz, R. Gonzalo, E. Ozbay, and S. Tretyakov, “Electromagnetic cloaking with canonical spiral inclusions,” N. J. Phys. 10(11), 115037 (2008).
[CrossRef]

Hao, Y.

E. Kallos, C. Argyropoulos, and Y. Hao, “Ground-plane quasicloaking for free space,” Phys. Rev. A 79(6), 063825 (2009).
[CrossRef]

Hingerl, K.

Isic, G.

Jiang, W. X.

G. X. Yu, W. X. Jiang, and T. J. Cui, “Invisible slab cloaks via embedded optical transformation,” Appl. Phys. Lett. 94(4), 041904 (2009).
[CrossRef]

W. X. Jiang, T. J. Cui, X. M. Yang, Q. Cheng, R. Liu, and D. R. Smith, “Invisibility Cloak without Singularity,” Appl. Phys. Lett. 93(19), 194102 (2008).
[CrossRef]

Justice, B. J.

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Kallos, E.

E. Kallos, C. Argyropoulos, and Y. Hao, “Ground-plane quasicloaking for free space,” Phys. Rev. A 79(6), 063825 (2009).
[CrossRef]

Kildishev, A. V.

W. Cai, U. K. Chettiar, A. V. Kildishev, V. M. Shalaev, and G. W. Milton, “Nonmagnetic Cloak with Minimized Scattering,” Appl. Phys. Lett. 91(11), 111105 (2007).
[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical Cloaking with Metamaterials,” Nat. Photonics 1(4), 224–227 (2007).
[CrossRef]

Kong, J. A.

H. Chen, B. I. Wu, B. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99(6), 063903 (2007).
[CrossRef] [PubMed]

Li, J. S.

J. S. Li and J. B. Pendry, “Hiding under the carpet: a new strategy for cloaking,” Phys. Rev. Lett. 101(20), 203901 (2008).
[CrossRef] [PubMed]

Liu, R.

W. X. Jiang, T. J. Cui, X. M. Yang, Q. Cheng, R. Liu, and D. R. Smith, “Invisibility Cloak without Singularity,” Appl. Phys. Lett. 93(19), 194102 (2008).
[CrossRef]

Milton, G. W.

W. Cai, U. K. Chettiar, A. V. Kildishev, V. M. Shalaev, and G. W. Milton, “Nonmagnetic Cloak with Minimized Scattering,” Appl. Phys. Lett. 91(11), 111105 (2007).
[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, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314(5801), 977–980 (2006).
[CrossRef] [PubMed]

Nicolet, A.

Novakovic, B.

Ozbay, E.

K. Guven, E. Saenz, R. Gonzalo, E. Ozbay, and S. Tretyakov, “Electromagnetic cloaking with canonical spiral inclusions,” N. J. Phys. 10(11), 115037 (2008).
[CrossRef]

Pendry, J.

S. A. Cummer, B. I. Popa, D. Schurig, D. R. Smith, and J. Pendry, “Full-wave simulations of electromagnetic cloaking structures,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(3), 036621 (2006).
[CrossRef] [PubMed]

Pendry, J. B.

J. S. Li and J. B. Pendry, “Hiding under the carpet: a new strategy for cloaking,” Phys. Rev. Lett. 101(20), 203901 (2008).
[CrossRef] [PubMed]

M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical design of reflectionless complex media by finite embedded coordinate transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).
[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(9), 1069–1071 (2007).
[CrossRef] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Popa, B. I.

B. I. Popa and S. A. Cummer, “Cloaking with Optimized Homogeneous Anisotropic Layers,” Phys. Rev. A 79(2), 023806 (2009).
[CrossRef]

S. A. Cummer, B. I. Popa, D. Schurig, D. R. Smith, and J. Pendry, “Full-wave simulations of electromagnetic cloaking structures,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(3), 036621 (2006).
[CrossRef] [PubMed]

Popovic, Z. V.

Qiu, M.

W. Yan, M. Yan, and M. Qiu, “Non-Magnetic Simplified Cylindrical Cloak with Suppressed Zeroth Order Scattering,” Appl. Phys. Lett. 93(2), 021909 (2008).
[CrossRef]

M. Yan, Z. Ruan, and M. Qiu, “Scattering characteristics of simplified cylindrical invisibility cloaks,” Opt. Express 15(26), 17772–17782 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-26-17772 .
[CrossRef] [PubMed]

M. Yan, Z. Ruan, and M. Qiu, “Cylindrical invisibility cloak with simplified material parameters is inherently visible,” Phys. Rev. Lett. 99(23), 233901 (2007).
[CrossRef] [PubMed]

Rahm, M.

M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical design of reflectionless complex media by finite embedded coordinate transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).
[CrossRef] [PubMed]

Ruan, Z.

Saenz, E.

K. Guven, E. Saenz, R. Gonzalo, E. Ozbay, and S. Tretyakov, “Electromagnetic cloaking with canonical spiral inclusions,” N. J. Phys. 10(11), 115037 (2008).
[CrossRef]

Schurig, D.

M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical design of reflectionless complex media by finite embedded coordinate transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).
[CrossRef] [PubMed]

S. A. Cummer, B. I. Popa, D. Schurig, D. R. Smith, and J. Pendry, “Full-wave simulations of electromagnetic cloaking structures,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(3), 036621 (2006).
[CrossRef] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Shalaev, V. M.

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical Cloaking with Metamaterials,” Nat. Photonics 1(4), 224–227 (2007).
[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, V. M. Shalaev, and G. W. Milton, “Nonmagnetic Cloak with Minimized Scattering,” Appl. Phys. Lett. 91(11), 111105 (2007).
[CrossRef]

Smith, D. R.

M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical design of reflectionless complex media by finite embedded coordinate transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).
[CrossRef] [PubMed]

W. X. Jiang, T. J. Cui, X. M. Yang, Q. Cheng, R. Liu, and D. R. Smith, “Invisibility Cloak without Singularity,” Appl. Phys. Lett. 93(19), 194102 (2008).
[CrossRef]

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

S. A. Cummer, B. I. Popa, D. Schurig, D. R. Smith, and J. Pendry, “Full-wave simulations of electromagnetic cloaking structures,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(3), 036621 (2006).
[CrossRef] [PubMed]

Starr, A. F.

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

Tretyakov, S.

K. Guven, E. Saenz, R. Gonzalo, E. Ozbay, and S. Tretyakov, “Electromagnetic cloaking with canonical spiral inclusions,” N. J. Phys. 10(11), 115037 (2008).
[CrossRef]

Wu, B. I.

Yan, M.

W. Yan, M. Yan, and M. Qiu, “Non-Magnetic Simplified Cylindrical Cloak with Suppressed Zeroth Order Scattering,” Appl. Phys. Lett. 93(2), 021909 (2008).
[CrossRef]

M. Yan, Z. Ruan, and M. Qiu, “Scattering characteristics of simplified cylindrical invisibility cloaks,” Opt. Express 15(26), 17772–17782 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-26-17772 .
[CrossRef] [PubMed]

M. Yan, Z. Ruan, and M. Qiu, “Cylindrical invisibility cloak with simplified material parameters is inherently visible,” Phys. Rev. Lett. 99(23), 233901 (2007).
[CrossRef] [PubMed]

Yan, W.

W. Yan, M. Yan, and M. Qiu, “Non-Magnetic Simplified Cylindrical Cloak with Suppressed Zeroth Order Scattering,” Appl. Phys. Lett. 93(2), 021909 (2008).
[CrossRef]

Yang, X. M.

W. X. Jiang, T. J. Cui, X. M. Yang, Q. Cheng, R. Liu, and D. R. Smith, “Invisibility Cloak without Singularity,” Appl. Phys. Lett. 93(19), 194102 (2008).
[CrossRef]

Yu, G. X.

G. X. Yu, W. X. Jiang, and T. J. Cui, “Invisible slab cloaks via embedded optical transformation,” Appl. Phys. Lett. 94(4), 041904 (2009).
[CrossRef]

Zhang, B.

H. Chen, B. I. Wu, B. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99(6), 063903 (2007).
[CrossRef] [PubMed]

Zhang, B. L.

Zolla, F.

Appl. Phys. Lett.

W. X. Jiang, T. J. Cui, X. M. Yang, Q. Cheng, R. Liu, and D. R. Smith, “Invisibility Cloak without Singularity,” Appl. Phys. Lett. 93(19), 194102 (2008).
[CrossRef]

G. X. Yu, W. X. Jiang, and T. J. Cui, “Invisible slab cloaks via embedded optical transformation,” Appl. Phys. Lett. 94(4), 041904 (2009).
[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, V. M. Shalaev, and G. W. Milton, “Nonmagnetic Cloak with Minimized Scattering,” Appl. Phys. Lett. 91(11), 111105 (2007).
[CrossRef]

W. Yan, M. Yan, and M. Qiu, “Non-Magnetic Simplified Cylindrical Cloak with Suppressed Zeroth Order Scattering,” Appl. Phys. Lett. 93(2), 021909 (2008).
[CrossRef]

N. J. Phys.

K. Guven, E. Saenz, R. Gonzalo, E. Ozbay, and S. Tretyakov, “Electromagnetic cloaking with canonical spiral inclusions,” N. J. Phys. 10(11), 115037 (2008).
[CrossRef]

Nat. Photonics

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical Cloaking with Metamaterials,” Nat. Photonics 1(4), 224–227 (2007).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. A

B. I. Popa and S. A. Cummer, “Cloaking with Optimized Homogeneous Anisotropic Layers,” Phys. Rev. A 79(2), 023806 (2009).
[CrossRef]

E. Kallos, C. Argyropoulos, and Y. Hao, “Ground-plane quasicloaking for free space,” Phys. Rev. A 79(6), 063825 (2009).
[CrossRef]

Phys. Rev. B

H. Y. Chen and C. T. Chan, “Electromagnetic wave manipulation by layered systems using the transformation media concept,” Phys. Rev. B 78(5), 054204 (2008).
[CrossRef]

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

S. A. Cummer, B. I. Popa, D. Schurig, D. R. Smith, and J. Pendry, “Full-wave simulations of electromagnetic cloaking structures,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(3), 036621 (2006).
[CrossRef] [PubMed]

Phys. Rev. Lett.

H. Chen, B. I. Wu, B. Zhang, and J. A. Kong, “Electromagnetic wave interactions with a metamaterial cloak,” Phys. Rev. Lett. 99(6), 063903 (2007).
[CrossRef] [PubMed]

M. Yan, Z. Ruan, and M. Qiu, “Cylindrical invisibility cloak with simplified material parameters is inherently visible,” Phys. Rev. Lett. 99(23), 233901 (2007).
[CrossRef] [PubMed]

M. Rahm, S. A. Cummer, D. Schurig, J. B. Pendry, and D. R. Smith, “Optical design of reflectionless complex media by finite embedded coordinate transformations,” Phys. Rev. Lett. 100(6), 063903 (2008).
[CrossRef] [PubMed]

J. S. Li and J. B. Pendry, “Hiding under the carpet: a new strategy for cloaking,” Phys. Rev. Lett. 101(20), 203901 (2008).
[CrossRef] [PubMed]

Science

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(5801), 977–980 (2006).
[CrossRef] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312(5781), 1780–1782 (2006).
[CrossRef] [PubMed]

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

The coordinate transformation for a diamond shaped cloak. (a) The original diamond shaped region with a line segment 2a in it. (b) The line segment and the small diamond space in (a) is stretched in x direction by b/a times. (c) The stretched line segment is transformed into a diamond shaped space, and the regions II, III, VI and VII are compressed. Consequently, a diamond cloak is obtained.

Fig. 2
Fig. 2

Magnetic field distribution for (a) the near perfect diamond cloak without loss, and (b) the diamond cloak composed of lossy materials with loss tangent of 0.1 for both permittivity and permeability when a TM plane wave is incident from left to right.

Fig. 3
Fig. 3

Magnetic field distribution when a TM plane wave is impinging on the cloak with an effective line segment length 2a = (a) 2 × 0.15 m and (b) 2 × 0.5 m from top to bottom.

Fig. 4
Fig. 4

Normalized total scattering cross section (normalized to the diamond PEC cylinder) as a function of (a) the half length of the equivalent line segment a at 0.15 GHz when the incident wave is perpendicular (black line), parallel (red rectangle) and at a 45 degree angle to the + x axis (blue triangle) respectively for the non-dispersive diamond-shaped cloak, and (b) frequencies when a = 0.15 m and the incident wave is perpendicular to + x axis for the dispersive diamond-shaped cloak.

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

x ' = ( a b ) c ( a c ) d y + b c a c x + ( a b ) c a c ,   y ' = y ,   z ' = z
x ' = b a x y ' = y ,   z ' = z
x ' = ( a b ) c ( a c ) d y + b c a c x ( a b ) c a c ,   y ' = y ,   z ' = z
x ' = b a x y ' = y ,   z ' = z
x ' ' = x ' ,   y ' ' = d e d y ' e b x ' + e ,   z ' = z
x ' ' = ( a b ) c ( a c ) d y + b c a c x + ( a b ) c a c ,   y ' ' = y ,   z ' ' = z
x ' ' = b a x ,   y ' ' = d e d y e a x + e ,   z ' ' = z
ε ¯ r = μ ¯ r = J · J T / det ( J )
{ ε x x = μ x x = ( A 2 + B 2 ) / A ε x y = ε y x = μ x y = μ y x = B / A ε y y = μ y y = 1 / A ε z z = μ z z = 1 / A
{ ε x x = μ x x = M / K ε x y = μ x y = M T / K ε y y = μ y y = K / M + M T 2 / K ε z z = μ z z = 1 / M K
ε ¯ r = μ ¯ r = ( ( 1 + A 2 + B 2 + | A 2 + B 2 1 | ) / 2 A 0 0 0 ( 1 + A 2 + B 2 | A 2 + B 2 1 | ) / 2 A 0 0 0 1 / A )
η j ( ω ) = 1 + [ η j ( ω 0 ) 1 ] f j ( ω ) / Re [ f j ( ω 0 ) ]

Metrics