Abstract

Transformation optics has inspired numerous conceptual devices since the first theoretical model of invisibility cloaks. However, the transition of these concepts into industrial applications is now widely acknowledged as a challenging bottleneck. A practical design strategy that can be adopted by industrial engineers is thus desirable at this stage. Here we propose an integrated design strategy imposing practical constraints on the area-preserving affine coordinate transformation as a general practical method to solve the problem of nonmagnetism. Practical concerns related to fabrication, such as anisotropy degree and bending angles, serve as additional constraints to the transformation. As a specific example, we illustrate how to apply this practical strategy to the design of a two-dimensional electromagnetic waveguide bending adapter. Our study is a significant step toward practical use of ideal transformation optics devices that can be implemented with natural dielectric materials.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312, 1780–1782 (2006).
    [CrossRef]
  2. U. Leonhardt, “Optical conformal mapping,” Science 312, 1777–1780 (2006).
    [CrossRef]
  3. D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, “Transformation-optical design of sharp waveguide bends and corners,” Appl. Phys. Lett. 93, 251111 (2008).
    [CrossRef]
  4. 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, 063903 (2008).
    [CrossRef]
  5. D.-H. Kwon and D. H. Werner, “Transformation optical designs for wave collimators, flat lenses and right-angle bends,” New J. Phys. 10, 115023 (2008).
    [CrossRef]
  6. J. Li and J. B. Pendry, “Hiding under the carpet: a new strategy for cloaking,” Phys. Rev. Lett. 101, 203901 (2008).
    [CrossRef]
  7. B. Zhang, T. Chan, and B.-I. Wu, “Lateral shift makes a ground-plane cloak detectable,” Phys. Rev. Lett. 104, 233903 (2010).
    [CrossRef]
  8. T. Han, C.-W. Qiu, and X. Tang, “Adaptive waveguide bends with homogeneous, nonmagnetic, and isotropic materials,” Opt. Lett. 36, 181–183 (2011).
    [CrossRef]
  9. H. Y. Xu, B. Zhang, G. Barbastathis, and H. D. Sun, “Compact optical waveguide coupler using homogeneous uniaxial medium,” J. Opt. Soc. Am. B 28, 2633–2636 (2011).
    [CrossRef]
  10. J. Zhang, Y. Luo, and N. A. Mortensen, “Transmission of electromagnetic waves through sub-wavelength channels,” Opt. Express 18, 3864–3870 (2010).
    [CrossRef]
  11. L. Yu, Z. Jingjing, C. Hongsheng, R. Lixin, W. Bae-Ian, and K. Jin Au, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag. 57, 3926–3933 (2009).
    [CrossRef]
  12. J. Zhang, S. Xiao, M. Wubs, and N. A. Mortensen, “Surface plasmon wave adapter designed with transformation optics,” ACS Nano 5, 4359–4364 (2011).
    [CrossRef]
  13. B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisibility cloak for visible light,” Phys. Rev. Lett. 106, 033901 (2011).
    [CrossRef]
  14. X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun. 2, 176 (2011).
    [CrossRef]
  15. J. Zhang, L. Liu, Y. Luo, S. Zhang, and N. A. Mortensen, “Homogeneous optical cloak constructed with uniform layered structures,” Opt. Express 19, 8625–8631 (2011).
    [CrossRef]
  16. W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterials,” Nat. Photon. 1, 224–227 (2007).
    [CrossRef]
  17. G. Castaldi, I. Gallina, and V. Galdi, “Nearly perfect nonmagnetic invisibility cloaking: analytic solutions and parametric studies,” Phys. Rev. B 80, 125116 (2009).
    [CrossRef]
  18. J. Zhang, Y. Luo, and N. A. Mortensen, “Minimizing the scattering of a nonmagnetic cloak,” Appl. Phys. Lett. 96, 113511 (2010).
    [CrossRef]
  19. B. Vasic, G. Isic, R. Gajic, and K. Hingerl, “Coordinate transformation based design of confined metamaterial structures,” Phys. Rev. B 79, 085103 (2009).
    [CrossRef]
  20. T. Han, C.-W. Qiu, J.-W. Dong, X. Tang, and S. Zouhdi, “Homogeneous and isotropic bends to tunnel waves through multiple different/equal waveguides along arbitrary directions,” Opt. Express 19, 13020–13030 (2011).
    [CrossRef]
  21. L. Pang, M. Nezhad, U. Levy, C.-H. Tsai, and Y. Fainman, “Form-birefringence structure fabrication in GaAs by use of SU-8 as a dry-etching mask,” Appl. Opt. 44, 2377–2381(2005).
    [CrossRef]
  22. H. Gao, B. Zhang, and G. Barbastathis, “Photonic cloak made of subwavelength dielectric elliptical rod arrays,” Opt. Commun. 284, 4820–4823 (2011).
    [CrossRef]
  23. G. Owen and P. Rissman, “Proximity effect correction for electron-beam lithography by equalization of background dose,” J. Appl. Phys. 54, 3573–3581 (1983).
    [CrossRef]
  24. X. Xu, Y. Feng, Z. Yu, T. Jiang, and J. Zhao, “Simplified ground plane invisibility cloak by multilayer dielectrics,” Opt. Express 18, 24477–24485 (2010).
    [CrossRef]
  25. B. Zhang and B.-I. Wu, “Cylindrical cloaking at oblique incidence with optimized finite multilayer parameters,” Opt. Lett. 35, 2681–2683 (2010).
    [CrossRef]
  26. S. Xi, H. Chen, B. Zhang, B.-I. Wu, and J. A. Kong, “Route to low-scattering cylindrical cloaks with finite permittivity and permeability,” Phys. Rev. B 79, 155122 (2009).
    [CrossRef]

2011

T. Han, C.-W. Qiu, and X. Tang, “Adaptive waveguide bends with homogeneous, nonmagnetic, and isotropic materials,” Opt. Lett. 36, 181–183 (2011).
[CrossRef]

H. Y. Xu, B. Zhang, G. Barbastathis, and H. D. Sun, “Compact optical waveguide coupler using homogeneous uniaxial medium,” J. Opt. Soc. Am. B 28, 2633–2636 (2011).
[CrossRef]

J. Zhang, S. Xiao, M. Wubs, and N. A. Mortensen, “Surface plasmon wave adapter designed with transformation optics,” ACS Nano 5, 4359–4364 (2011).
[CrossRef]

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisibility cloak for visible light,” Phys. Rev. Lett. 106, 033901 (2011).
[CrossRef]

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun. 2, 176 (2011).
[CrossRef]

J. Zhang, L. Liu, Y. Luo, S. Zhang, and N. A. Mortensen, “Homogeneous optical cloak constructed with uniform layered structures,” Opt. Express 19, 8625–8631 (2011).
[CrossRef]

T. Han, C.-W. Qiu, J.-W. Dong, X. Tang, and S. Zouhdi, “Homogeneous and isotropic bends to tunnel waves through multiple different/equal waveguides along arbitrary directions,” Opt. Express 19, 13020–13030 (2011).
[CrossRef]

H. Gao, B. Zhang, and G. Barbastathis, “Photonic cloak made of subwavelength dielectric elliptical rod arrays,” Opt. Commun. 284, 4820–4823 (2011).
[CrossRef]

2010

2009

L. Yu, Z. Jingjing, C. Hongsheng, R. Lixin, W. Bae-Ian, and K. Jin Au, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag. 57, 3926–3933 (2009).
[CrossRef]

G. Castaldi, I. Gallina, and V. Galdi, “Nearly perfect nonmagnetic invisibility cloaking: analytic solutions and parametric studies,” Phys. Rev. B 80, 125116 (2009).
[CrossRef]

B. Vasic, G. Isic, R. Gajic, and K. Hingerl, “Coordinate transformation based design of confined metamaterial structures,” Phys. Rev. B 79, 085103 (2009).
[CrossRef]

S. Xi, H. Chen, B. Zhang, B.-I. Wu, and J. A. Kong, “Route to low-scattering cylindrical cloaks with finite permittivity and permeability,” Phys. Rev. B 79, 155122 (2009).
[CrossRef]

2008

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, “Transformation-optical design of sharp waveguide bends and corners,” Appl. Phys. Lett. 93, 251111 (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, 063903 (2008).
[CrossRef]

D.-H. Kwon and D. H. Werner, “Transformation optical designs for wave collimators, flat lenses and right-angle bends,” New J. Phys. 10, 115023 (2008).
[CrossRef]

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

2007

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

2006

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

U. Leonhardt, “Optical conformal mapping,” Science 312, 1777–1780 (2006).
[CrossRef]

2005

1983

G. Owen and P. Rissman, “Proximity effect correction for electron-beam lithography by equalization of background dose,” J. Appl. Phys. 54, 3573–3581 (1983).
[CrossRef]

Bae-Ian, W.

L. Yu, Z. Jingjing, C. Hongsheng, R. Lixin, W. Bae-Ian, and K. Jin Au, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag. 57, 3926–3933 (2009).
[CrossRef]

Barbastathis, G.

H. Y. Xu, B. Zhang, G. Barbastathis, and H. D. Sun, “Compact optical waveguide coupler using homogeneous uniaxial medium,” J. Opt. Soc. Am. B 28, 2633–2636 (2011).
[CrossRef]

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisibility cloak for visible light,” Phys. Rev. Lett. 106, 033901 (2011).
[CrossRef]

H. Gao, B. Zhang, and G. Barbastathis, “Photonic cloak made of subwavelength dielectric elliptical rod arrays,” Opt. Commun. 284, 4820–4823 (2011).
[CrossRef]

Cai, W.

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

Castaldi, G.

G. Castaldi, I. Gallina, and V. Galdi, “Nearly perfect nonmagnetic invisibility cloaking: analytic solutions and parametric studies,” Phys. Rev. B 80, 125116 (2009).
[CrossRef]

Chan, T.

B. Zhang, T. Chan, and B.-I. Wu, “Lateral shift makes a ground-plane cloak detectable,” Phys. Rev. Lett. 104, 233903 (2010).
[CrossRef]

Chen, H.

S. Xi, H. Chen, B. Zhang, B.-I. Wu, and J. A. Kong, “Route to low-scattering cylindrical cloaks with finite permittivity and permeability,” Phys. Rev. B 79, 155122 (2009).
[CrossRef]

Chen, X.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun. 2, 176 (2011).
[CrossRef]

Chettiar, U. K.

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

Cummer, S. A.

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, 063903 (2008).
[CrossRef]

Dong, J.-W.

Fainman, Y.

Feng, Y.

Gajic, R.

B. Vasic, G. Isic, R. Gajic, and K. Hingerl, “Coordinate transformation based design of confined metamaterial structures,” Phys. Rev. B 79, 085103 (2009).
[CrossRef]

Galdi, V.

G. Castaldi, I. Gallina, and V. Galdi, “Nearly perfect nonmagnetic invisibility cloaking: analytic solutions and parametric studies,” Phys. Rev. B 80, 125116 (2009).
[CrossRef]

Gallina, I.

G. Castaldi, I. Gallina, and V. Galdi, “Nearly perfect nonmagnetic invisibility cloaking: analytic solutions and parametric studies,” Phys. Rev. B 80, 125116 (2009).
[CrossRef]

Gao, H.

H. Gao, B. Zhang, and G. Barbastathis, “Photonic cloak made of subwavelength dielectric elliptical rod arrays,” Opt. Commun. 284, 4820–4823 (2011).
[CrossRef]

Han, T.

Hingerl, K.

B. Vasic, G. Isic, R. Gajic, and K. Hingerl, “Coordinate transformation based design of confined metamaterial structures,” Phys. Rev. B 79, 085103 (2009).
[CrossRef]

Hongsheng, C.

L. Yu, Z. Jingjing, C. Hongsheng, R. Lixin, W. Bae-Ian, and K. Jin Au, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag. 57, 3926–3933 (2009).
[CrossRef]

Isic, G.

B. Vasic, G. Isic, R. Gajic, and K. Hingerl, “Coordinate transformation based design of confined metamaterial structures,” Phys. Rev. B 79, 085103 (2009).
[CrossRef]

Jiang, K.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun. 2, 176 (2011).
[CrossRef]

Jiang, T.

Jin Au, K.

L. Yu, Z. Jingjing, C. Hongsheng, R. Lixin, W. Bae-Ian, and K. Jin Au, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag. 57, 3926–3933 (2009).
[CrossRef]

Jingjing, Z.

L. Yu, Z. Jingjing, C. Hongsheng, R. Lixin, W. Bae-Ian, and K. Jin Au, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag. 57, 3926–3933 (2009).
[CrossRef]

Kildishev, A. V.

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

Kong, J. A.

S. Xi, H. Chen, B. Zhang, B.-I. Wu, and J. A. Kong, “Route to low-scattering cylindrical cloaks with finite permittivity and permeability,” Phys. Rev. B 79, 155122 (2009).
[CrossRef]

Kwon, D.-H.

D.-H. Kwon and D. H. Werner, “Transformation optical designs for wave collimators, flat lenses and right-angle bends,” New J. Phys. 10, 115023 (2008).
[CrossRef]

Leonhardt, U.

U. Leonhardt, “Optical conformal mapping,” Science 312, 1777–1780 (2006).
[CrossRef]

Levy, U.

Li, J.

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

Liu, L.

Liu, X.

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisibility cloak for visible light,” Phys. Rev. Lett. 106, 033901 (2011).
[CrossRef]

Lixin, R.

L. Yu, Z. Jingjing, C. Hongsheng, R. Lixin, W. Bae-Ian, and K. Jin Au, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag. 57, 3926–3933 (2009).
[CrossRef]

Luo, Y.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun. 2, 176 (2011).
[CrossRef]

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisibility cloak for visible light,” Phys. Rev. Lett. 106, 033901 (2011).
[CrossRef]

J. Zhang, L. Liu, Y. Luo, S. Zhang, and N. A. Mortensen, “Homogeneous optical cloak constructed with uniform layered structures,” Opt. Express 19, 8625–8631 (2011).
[CrossRef]

J. Zhang, Y. Luo, and N. A. Mortensen, “Minimizing the scattering of a nonmagnetic cloak,” Appl. Phys. Lett. 96, 113511 (2010).
[CrossRef]

J. Zhang, Y. Luo, and N. A. Mortensen, “Transmission of electromagnetic waves through sub-wavelength channels,” Opt. Express 18, 3864–3870 (2010).
[CrossRef]

Mortensen, N. A.

J. Zhang, L. Liu, Y. Luo, S. Zhang, and N. A. Mortensen, “Homogeneous optical cloak constructed with uniform layered structures,” Opt. Express 19, 8625–8631 (2011).
[CrossRef]

J. Zhang, S. Xiao, M. Wubs, and N. A. Mortensen, “Surface plasmon wave adapter designed with transformation optics,” ACS Nano 5, 4359–4364 (2011).
[CrossRef]

J. Zhang, Y. Luo, and N. A. Mortensen, “Minimizing the scattering of a nonmagnetic cloak,” Appl. Phys. Lett. 96, 113511 (2010).
[CrossRef]

J. Zhang, Y. Luo, and N. A. Mortensen, “Transmission of electromagnetic waves through sub-wavelength channels,” Opt. Express 18, 3864–3870 (2010).
[CrossRef]

Nezhad, M.

Owen, G.

G. Owen and P. Rissman, “Proximity effect correction for electron-beam lithography by equalization of background dose,” J. Appl. Phys. 54, 3573–3581 (1983).
[CrossRef]

Pang, L.

Pendry, J. B.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun. 2, 176 (2011).
[CrossRef]

J. Li and J. B. Pendry, “Hiding under the carpet: a new strategy for cloaking,” Phys. Rev. Lett. 101, 203901 (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, 063903 (2008).
[CrossRef]

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, “Transformation-optical design of sharp waveguide bends and corners,” Appl. Phys. Lett. 93, 251111 (2008).
[CrossRef]

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

Qiu, C.-W.

Rahm, M.

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, “Transformation-optical design of sharp waveguide bends and corners,” Appl. Phys. Lett. 93, 251111 (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, 063903 (2008).
[CrossRef]

Rissman, P.

G. Owen and P. Rissman, “Proximity effect correction for electron-beam lithography by equalization of background dose,” J. Appl. Phys. 54, 3573–3581 (1983).
[CrossRef]

Roberts, D. A.

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, “Transformation-optical design of sharp waveguide bends and corners,” Appl. Phys. Lett. 93, 251111 (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, 063903 (2008).
[CrossRef]

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

Shalaev, V. M.

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

Smith, D. R.

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, “Transformation-optical design of sharp waveguide bends and corners,” Appl. Phys. Lett. 93, 251111 (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, 063903 (2008).
[CrossRef]

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

Sun, H. D.

Tang, X.

Tsai, C.-H.

Vasic, B.

B. Vasic, G. Isic, R. Gajic, and K. Hingerl, “Coordinate transformation based design of confined metamaterial structures,” Phys. Rev. B 79, 085103 (2009).
[CrossRef]

Werner, D. H.

D.-H. Kwon and D. H. Werner, “Transformation optical designs for wave collimators, flat lenses and right-angle bends,” New J. Phys. 10, 115023 (2008).
[CrossRef]

Wu, B.-I.

B. Zhang, T. Chan, and B.-I. Wu, “Lateral shift makes a ground-plane cloak detectable,” Phys. Rev. Lett. 104, 233903 (2010).
[CrossRef]

B. Zhang and B.-I. Wu, “Cylindrical cloaking at oblique incidence with optimized finite multilayer parameters,” Opt. Lett. 35, 2681–2683 (2010).
[CrossRef]

S. Xi, H. Chen, B. Zhang, B.-I. Wu, and J. A. Kong, “Route to low-scattering cylindrical cloaks with finite permittivity and permeability,” Phys. Rev. B 79, 155122 (2009).
[CrossRef]

Wubs, M.

J. Zhang, S. Xiao, M. Wubs, and N. A. Mortensen, “Surface plasmon wave adapter designed with transformation optics,” ACS Nano 5, 4359–4364 (2011).
[CrossRef]

Xi, S.

S. Xi, H. Chen, B. Zhang, B.-I. Wu, and J. A. Kong, “Route to low-scattering cylindrical cloaks with finite permittivity and permeability,” Phys. Rev. B 79, 155122 (2009).
[CrossRef]

Xiao, S.

J. Zhang, S. Xiao, M. Wubs, and N. A. Mortensen, “Surface plasmon wave adapter designed with transformation optics,” ACS Nano 5, 4359–4364 (2011).
[CrossRef]

Xu, H. Y.

Xu, X.

Yu, L.

L. Yu, Z. Jingjing, C. Hongsheng, R. Lixin, W. Bae-Ian, and K. Jin Au, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag. 57, 3926–3933 (2009).
[CrossRef]

Yu, Z.

Zhang, B.

H. Gao, B. Zhang, and G. Barbastathis, “Photonic cloak made of subwavelength dielectric elliptical rod arrays,” Opt. Commun. 284, 4820–4823 (2011).
[CrossRef]

H. Y. Xu, B. Zhang, G. Barbastathis, and H. D. Sun, “Compact optical waveguide coupler using homogeneous uniaxial medium,” J. Opt. Soc. Am. B 28, 2633–2636 (2011).
[CrossRef]

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisibility cloak for visible light,” Phys. Rev. Lett. 106, 033901 (2011).
[CrossRef]

B. Zhang, T. Chan, and B.-I. Wu, “Lateral shift makes a ground-plane cloak detectable,” Phys. Rev. Lett. 104, 233903 (2010).
[CrossRef]

B. Zhang and B.-I. Wu, “Cylindrical cloaking at oblique incidence with optimized finite multilayer parameters,” Opt. Lett. 35, 2681–2683 (2010).
[CrossRef]

S. Xi, H. Chen, B. Zhang, B.-I. Wu, and J. A. Kong, “Route to low-scattering cylindrical cloaks with finite permittivity and permeability,” Phys. Rev. B 79, 155122 (2009).
[CrossRef]

Zhang, J.

J. Zhang, S. Xiao, M. Wubs, and N. A. Mortensen, “Surface plasmon wave adapter designed with transformation optics,” ACS Nano 5, 4359–4364 (2011).
[CrossRef]

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun. 2, 176 (2011).
[CrossRef]

J. Zhang, L. Liu, Y. Luo, S. Zhang, and N. A. Mortensen, “Homogeneous optical cloak constructed with uniform layered structures,” Opt. Express 19, 8625–8631 (2011).
[CrossRef]

J. Zhang, Y. Luo, and N. A. Mortensen, “Minimizing the scattering of a nonmagnetic cloak,” Appl. Phys. Lett. 96, 113511 (2010).
[CrossRef]

J. Zhang, Y. Luo, and N. A. Mortensen, “Transmission of electromagnetic waves through sub-wavelength channels,” Opt. Express 18, 3864–3870 (2010).
[CrossRef]

Zhang, S.

J. Zhang, L. Liu, Y. Luo, S. Zhang, and N. A. Mortensen, “Homogeneous optical cloak constructed with uniform layered structures,” Opt. Express 19, 8625–8631 (2011).
[CrossRef]

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun. 2, 176 (2011).
[CrossRef]

Zhao, J.

Zouhdi, S.

ACS Nano

J. Zhang, S. Xiao, M. Wubs, and N. A. Mortensen, “Surface plasmon wave adapter designed with transformation optics,” ACS Nano 5, 4359–4364 (2011).
[CrossRef]

Appl. Opt.

Appl. Phys. Lett.

J. Zhang, Y. Luo, and N. A. Mortensen, “Minimizing the scattering of a nonmagnetic cloak,” Appl. Phys. Lett. 96, 113511 (2010).
[CrossRef]

D. A. Roberts, M. Rahm, J. B. Pendry, and D. R. Smith, “Transformation-optical design of sharp waveguide bends and corners,” Appl. Phys. Lett. 93, 251111 (2008).
[CrossRef]

IEEE Trans. Antennas Propag.

L. Yu, Z. Jingjing, C. Hongsheng, R. Lixin, W. Bae-Ian, and K. Jin Au, “A rigorous analysis of plane-transformed invisibility cloaks,” IEEE Trans. Antennas Propag. 57, 3926–3933 (2009).
[CrossRef]

J. Appl. Phys.

G. Owen and P. Rissman, “Proximity effect correction for electron-beam lithography by equalization of background dose,” J. Appl. Phys. 54, 3573–3581 (1983).
[CrossRef]

J. Opt. Soc. Am. B

Nat. Commun.

X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, “Macroscopic invisibility cloaking of visible light,” Nat. Commun. 2, 176 (2011).
[CrossRef]

Nat. Photon.

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

New J. Phys.

D.-H. Kwon and D. H. Werner, “Transformation optical designs for wave collimators, flat lenses and right-angle bends,” New J. Phys. 10, 115023 (2008).
[CrossRef]

Opt. Commun.

H. Gao, B. Zhang, and G. Barbastathis, “Photonic cloak made of subwavelength dielectric elliptical rod arrays,” Opt. Commun. 284, 4820–4823 (2011).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. B

S. Xi, H. Chen, B. Zhang, B.-I. Wu, and J. A. Kong, “Route to low-scattering cylindrical cloaks with finite permittivity and permeability,” Phys. Rev. B 79, 155122 (2009).
[CrossRef]

B. Vasic, G. Isic, R. Gajic, and K. Hingerl, “Coordinate transformation based design of confined metamaterial structures,” Phys. Rev. B 79, 085103 (2009).
[CrossRef]

G. Castaldi, I. Gallina, and V. Galdi, “Nearly perfect nonmagnetic invisibility cloaking: analytic solutions and parametric studies,” Phys. Rev. B 80, 125116 (2009).
[CrossRef]

Phys. Rev. Lett.

B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, “Macroscopic invisibility cloak for visible light,” Phys. Rev. Lett. 106, 033901 (2011).
[CrossRef]

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

B. Zhang, T. Chan, and B.-I. Wu, “Lateral shift makes a ground-plane cloak detectable,” Phys. Rev. Lett. 104, 233903 (2010).
[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, 063903 (2008).
[CrossRef]

Science

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

U. Leonhardt, “Optical conformal mapping,” Science 312, 1777–1780 (2006).
[CrossRef]

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.

(a) Area-preserving transformation from triangle AOB (blue) to AOB (green) along both x and y directions, (b) special case of horizontal shear along the x direction only.

Fig. 2.
Fig. 2.

(a) BPT (from AOB to AOB) for one arm of the bending adapter, (b) APT for one arm of the bending adapter, (c) in the BPT case, the permeability (blue) and the area changing ratio (red) as functions of bending angle 2α and the arm length L.

Fig. 3.
Fig. 3.

(a) Anisotropy ratio R=n2/n1 as a function of bending angle 2α and arm length L(L<|OB|). The dashed line corresponds to the value of n/n// for the silicon–air material system. (b) Same as (a), except |OB|<L<10|OB|. (c) Maximum bending angle 2αSA as a function of L for the silicon–air material system. (d) Maximum bending angle 2αmax as a function of anisotropy ratio R.

Fig. 4.
Fig. 4.

(a) Magnetic field distribution of the BPT case with scaled μ and ε, (b) the magnetic field distribution of the APT case. The inset figure demonstrates the silicon–air layered structure.

Equations (2)

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

ε¯¯=[b2+1bb1],μ=1.
R=[(b2+2)/2(b2+2)2/41(b2+2)/2+(b2+2)2/41]12.

Metrics