Abstract

The focus behaviors of electromagnetic wave through two-dimensional (2D) high-symmetry photonic quasicrystals (PQCs) have been investigated by using exact multi-scattering numerical simulation. We have found that the high-symmetry PQC flat lenses possess universal feature for non-near-field focus of two kinds of polarized waves. That is to say, the non-near-field focus for two kinds of polarized waves can be realized by using these flat lenses, which are consisting of 12-fold, 10-fold and 8-fold 2D PQCs with the same structures and parameters. Such a superior feature originates from higher rotational symmetry and negative refraction in the PQCs. Thus, potential applications of such a phenomenon to optical devices can be anticipated.

© 2007 Optical Society of America

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  1. V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Phys. Usp. 10, 509 (1968).
    [CrossRef]
  2. J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966 (2000).
    [CrossRef] [PubMed]
  3. D. R. Smith, D. Schurig, J. J. Mock, P. Kolinko, and P. Rye, "Partial focusing of radiation by a slab of indefinite media," Appl. Phys. Lett. 84, 2244 (2004).
    [CrossRef]
  4. A. Grbic, and G. V. Eleftheriades, "Overcoming the diffraction limit with a planar lefthanded transmission-line lens," Phys. Rev. Lett. 92, 117403 (2004).
    [CrossRef] [PubMed]
  5. A. N. Lagarkov, and V. N. Kissel, "Near-perfect imaging in a focusing system based on a left-handed-material plate," Phys. Rev. Lett. 92, 077401 (2004).
    [CrossRef] [PubMed]
  6. L. Chen, S. He, and L. Shen, "Finite-size effects of a left-handed material slab on the image quality," Phys. Rev. Lett. 92,107404 (2004).
    [CrossRef] [PubMed]
  7. N. Fang, H. Lee, C. Sun, and X. Zhang, "Sub-diffraction-limited optical imaging with a silver superlens," Science 308, 534 (2005).
    [CrossRef] [PubMed]
  8. M. Notomi, "Theory of light propagation in strongly modulated photonic crystals: Refraction like behavior in the vicinity of the photonic band gap," Phys. Rev. B 62, 10 696 (2000).
    [CrossRef]
  9. C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104 (2002).
    [CrossRef]
  10. P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, "Photonic crystals: Imaging by flat lens using negative refraction," Nature (London) 426, 404 (2003).
    [CrossRef]
  11. C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Subwavelength imaging in photonic crystals," Phys. Rev. B 68, 045115 (2003).
    [CrossRef]
  12. E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Subwavelength resolution in a two-dimensional photonic-crystal-based superlens," Phys. Rev. Lett. 91, 207401 (2003).
    [CrossRef] [PubMed]
  13. R. Moussa, S. Foteinopoulou, L. Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, "Negative refraction and superlens behavior in a two-dimensional photonic crystal," Phys. Rev. B 71, 085106 (2005).
    [CrossRef]
  14. K. Guven, K. Aydin, K. B. Alici, C. M. Soukoulis, and E. Ozbay, "Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens," Phys. Rev. B 70, 205125 (2004).
    [CrossRef]
  15. Z.-Y. Li, and L.-L. Lin, "Evaluation of lensing in photonic crystal slabs exhibiting negative Refraction," Phys. Rev. B 68, 245110 (2003).
    [CrossRef]
  16. S. Xiao, M. Qiu, Z. Ruan, and S. He, "Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction," Appl. Phys. Lett. 85, 4269-4271 (2004).
    [CrossRef]
  17. X. Zhang, "Absolute negative refraction and imaging of unpolarized electromagnetic waves by two-dimensional photonic crystals," Phys. Rev. B 70, 205102 (2004).
    [CrossRef]
  18. X. Wang, Z. F. Ren, and K. Kempa, "Unrestricted superlensing in a triangular two dimensional photoniccrystal," Opt. Express 12, 2919-2924 (2004).
    [CrossRef] [PubMed]
  19. X. Zhang, "Image resolution depending on slab thickness and object distance in a two-dimensional photoniccrystal-based superlens," Phys. Rev. B 70, 195110 (2004).
    [CrossRef]
  20. A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, and S. Anand, "Negative refraction at infrared wavelengths in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
    [CrossRef] [PubMed]
  21. X. Hu, and C. T. Chan, "Photonic crystals with silver nanowires as a near-infrared superlens," Appl. Phys. Lett. 85, 1520 (2004).
    [CrossRef]
  22. X. Wang, Z. F. Ren, and K. Kempa, "Improved superlensing in two-dimensional photonic crystals with a basis," Appl. Phys. Lett. 86, 061105 (2005).
    [CrossRef]
  23. X. Wang and K. Kempa, "Effects of disorder on subwavelength lensing in two-dimensional photonic crystal slabs," Phys. Rev. B 71, 085101 (2005).
    [CrossRef]
  24. X. Zhang, "Effect of interface and disorder on the far-field image in a two-dimensional photonic-crystal-based flat lens," Phys. Rev. B 71, 165116 (2005).
    [CrossRef]
  25. A. Martinez and J. Marti, "Negative refraction in two-dimensional photonic crystas: Role of lattice orientation and interface termination," Phys. Rev. B 71, 235115 (2005).
    [CrossRef]
  26. A. Martinez and J. Marti, "Analysis of wave focusing inside a negative-index photonic-crystal slab," Opt. Express 13, 2858-2868 (2005).
    [CrossRef] [PubMed]
  27. C. Shen, K. Michielsen, and H. De Raedt, "Image transfer by cascaded stack of photonic crystal and air layers," Opt. Express 14, 879-886 (2006).
    [CrossRef] [PubMed]
  28. X. Zhang, "Tunable non-near-field focus and imaging of an unpolarized electromagnetic wave," Phys. Rev. B 71, 235103 (2005).
    [CrossRef]
  29. Z. Feng, X. Zhang, Y. Q. Wang, Z. Y. Li, B. Y. Cheng, and D. Z. Zhang, "Negative refraction and imaging using 12-fold-symmetry quasicrystals," Phys. Rev. Lett. 94, 247402 (2005).
    [CrossRef]
  30. M. E. Zoorob, M. D. B. Chartton, G. J. Parker, J. J. Baumberg, and M. C. Netti, "Complete photonic bandgaps in 12-fold symmetric quasicrystals," Nature 404, 740 (2000).
    [CrossRef] [PubMed]
  31. X. Zhang, Z. Q. Zhang, and C. T. Chan, "Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals," Phys. Rev. B 63, 081105(R) (2001).
    [CrossRef]
  32. E. Rotenberg, W. Theis, K. Horn, and P. Gille, "Quasicrystalline valence bands in decagonal ALNiCo," Nature (London) 406, 602 (2000).
    [CrossRef]

2006

2005

X. Zhang, "Tunable non-near-field focus and imaging of an unpolarized electromagnetic wave," Phys. Rev. B 71, 235103 (2005).
[CrossRef]

Z. Feng, X. Zhang, Y. Q. Wang, Z. Y. Li, B. Y. Cheng, and D. Z. Zhang, "Negative refraction and imaging using 12-fold-symmetry quasicrystals," Phys. Rev. Lett. 94, 247402 (2005).
[CrossRef]

X. Wang, Z. F. Ren, and K. Kempa, "Improved superlensing in two-dimensional photonic crystals with a basis," Appl. Phys. Lett. 86, 061105 (2005).
[CrossRef]

X. Wang and K. Kempa, "Effects of disorder on subwavelength lensing in two-dimensional photonic crystal slabs," Phys. Rev. B 71, 085101 (2005).
[CrossRef]

X. Zhang, "Effect of interface and disorder on the far-field image in a two-dimensional photonic-crystal-based flat lens," Phys. Rev. B 71, 165116 (2005).
[CrossRef]

A. Martinez and J. Marti, "Negative refraction in two-dimensional photonic crystas: Role of lattice orientation and interface termination," Phys. Rev. B 71, 235115 (2005).
[CrossRef]

A. Martinez and J. Marti, "Analysis of wave focusing inside a negative-index photonic-crystal slab," Opt. Express 13, 2858-2868 (2005).
[CrossRef] [PubMed]

N. Fang, H. Lee, C. Sun, and X. Zhang, "Sub-diffraction-limited optical imaging with a silver superlens," Science 308, 534 (2005).
[CrossRef] [PubMed]

R. Moussa, S. Foteinopoulou, L. Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, "Negative refraction and superlens behavior in a two-dimensional photonic crystal," Phys. Rev. B 71, 085106 (2005).
[CrossRef]

2004

K. Guven, K. Aydin, K. B. Alici, C. M. Soukoulis, and E. Ozbay, "Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens," Phys. Rev. B 70, 205125 (2004).
[CrossRef]

S. Xiao, M. Qiu, Z. Ruan, and S. He, "Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction," Appl. Phys. Lett. 85, 4269-4271 (2004).
[CrossRef]

X. Zhang, "Absolute negative refraction and imaging of unpolarized electromagnetic waves by two-dimensional photonic crystals," Phys. Rev. B 70, 205102 (2004).
[CrossRef]

X. Wang, Z. F. Ren, and K. Kempa, "Unrestricted superlensing in a triangular two dimensional photoniccrystal," Opt. Express 12, 2919-2924 (2004).
[CrossRef] [PubMed]

X. Zhang, "Image resolution depending on slab thickness and object distance in a two-dimensional photoniccrystal-based superlens," Phys. Rev. B 70, 195110 (2004).
[CrossRef]

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, and S. Anand, "Negative refraction at infrared wavelengths in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

X. Hu, and C. T. Chan, "Photonic crystals with silver nanowires as a near-infrared superlens," Appl. Phys. Lett. 85, 1520 (2004).
[CrossRef]

D. R. Smith, D. Schurig, J. J. Mock, P. Kolinko, and P. Rye, "Partial focusing of radiation by a slab of indefinite media," Appl. Phys. Lett. 84, 2244 (2004).
[CrossRef]

A. Grbic, and G. V. Eleftheriades, "Overcoming the diffraction limit with a planar lefthanded transmission-line lens," Phys. Rev. Lett. 92, 117403 (2004).
[CrossRef] [PubMed]

A. N. Lagarkov, and V. N. Kissel, "Near-perfect imaging in a focusing system based on a left-handed-material plate," Phys. Rev. Lett. 92, 077401 (2004).
[CrossRef] [PubMed]

L. Chen, S. He, and L. Shen, "Finite-size effects of a left-handed material slab on the image quality," Phys. Rev. Lett. 92,107404 (2004).
[CrossRef] [PubMed]

2003

Z.-Y. Li, and L.-L. Lin, "Evaluation of lensing in photonic crystal slabs exhibiting negative Refraction," Phys. Rev. B 68, 245110 (2003).
[CrossRef]

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, "Photonic crystals: Imaging by flat lens using negative refraction," Nature (London) 426, 404 (2003).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Subwavelength imaging in photonic crystals," Phys. Rev. B 68, 045115 (2003).
[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Subwavelength resolution in a two-dimensional photonic-crystal-based superlens," Phys. Rev. Lett. 91, 207401 (2003).
[CrossRef] [PubMed]

2002

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104 (2002).
[CrossRef]

2001

X. Zhang, Z. Q. Zhang, and C. T. Chan, "Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals," Phys. Rev. B 63, 081105(R) (2001).
[CrossRef]

2000

E. Rotenberg, W. Theis, K. Horn, and P. Gille, "Quasicrystalline valence bands in decagonal ALNiCo," Nature (London) 406, 602 (2000).
[CrossRef]

M. E. Zoorob, M. D. B. Chartton, G. J. Parker, J. J. Baumberg, and M. C. Netti, "Complete photonic bandgaps in 12-fold symmetric quasicrystals," Nature 404, 740 (2000).
[CrossRef] [PubMed]

M. Notomi, "Theory of light propagation in strongly modulated photonic crystals: Refraction like behavior in the vicinity of the photonic band gap," Phys. Rev. B 62, 10 696 (2000).
[CrossRef]

J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

1968

V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Alici, K. B.

K. Guven, K. Aydin, K. B. Alici, C. M. Soukoulis, and E. Ozbay, "Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens," Phys. Rev. B 70, 205125 (2004).
[CrossRef]

Anand, S.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, and S. Anand, "Negative refraction at infrared wavelengths in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

Aydin, K.

K. Guven, K. Aydin, K. B. Alici, C. M. Soukoulis, and E. Ozbay, "Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens," Phys. Rev. B 70, 205125 (2004).
[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Subwavelength resolution in a two-dimensional photonic-crystal-based superlens," Phys. Rev. Lett. 91, 207401 (2003).
[CrossRef] [PubMed]

Baumberg, J. J.

M. E. Zoorob, M. D. B. Chartton, G. J. Parker, J. J. Baumberg, and M. C. Netti, "Complete photonic bandgaps in 12-fold symmetric quasicrystals," Nature 404, 740 (2000).
[CrossRef] [PubMed]

Berrier, A.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, and S. Anand, "Negative refraction at infrared wavelengths in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

Chan, C. T.

X. Hu, and C. T. Chan, "Photonic crystals with silver nanowires as a near-infrared superlens," Appl. Phys. Lett. 85, 1520 (2004).
[CrossRef]

X. Zhang, Z. Q. Zhang, and C. T. Chan, "Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals," Phys. Rev. B 63, 081105(R) (2001).
[CrossRef]

Chartton, M. D. B.

M. E. Zoorob, M. D. B. Chartton, G. J. Parker, J. J. Baumberg, and M. C. Netti, "Complete photonic bandgaps in 12-fold symmetric quasicrystals," Nature 404, 740 (2000).
[CrossRef] [PubMed]

Chen, L.

L. Chen, S. He, and L. Shen, "Finite-size effects of a left-handed material slab on the image quality," Phys. Rev. Lett. 92,107404 (2004).
[CrossRef] [PubMed]

Cheng, B. Y.

Z. Feng, X. Zhang, Y. Q. Wang, Z. Y. Li, B. Y. Cheng, and D. Z. Zhang, "Negative refraction and imaging using 12-fold-symmetry quasicrystals," Phys. Rev. Lett. 94, 247402 (2005).
[CrossRef]

Cubukcu, E.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Subwavelength resolution in a two-dimensional photonic-crystal-based superlens," Phys. Rev. Lett. 91, 207401 (2003).
[CrossRef] [PubMed]

De Raedt, H.

Eleftheriades, G. V.

A. Grbic, and G. V. Eleftheriades, "Overcoming the diffraction limit with a planar lefthanded transmission-line lens," Phys. Rev. Lett. 92, 117403 (2004).
[CrossRef] [PubMed]

Fang, N.

N. Fang, H. Lee, C. Sun, and X. Zhang, "Sub-diffraction-limited optical imaging with a silver superlens," Science 308, 534 (2005).
[CrossRef] [PubMed]

Feng, Z.

Z. Feng, X. Zhang, Y. Q. Wang, Z. Y. Li, B. Y. Cheng, and D. Z. Zhang, "Negative refraction and imaging using 12-fold-symmetry quasicrystals," Phys. Rev. Lett. 94, 247402 (2005).
[CrossRef]

Foteinopoulou, S.

R. Moussa, S. Foteinopoulou, L. Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, "Negative refraction and superlens behavior in a two-dimensional photonic crystal," Phys. Rev. B 71, 085106 (2005).
[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Subwavelength resolution in a two-dimensional photonic-crystal-based superlens," Phys. Rev. Lett. 91, 207401 (2003).
[CrossRef] [PubMed]

Gille, P.

E. Rotenberg, W. Theis, K. Horn, and P. Gille, "Quasicrystalline valence bands in decagonal ALNiCo," Nature (London) 406, 602 (2000).
[CrossRef]

Grbic, A.

A. Grbic, and G. V. Eleftheriades, "Overcoming the diffraction limit with a planar lefthanded transmission-line lens," Phys. Rev. Lett. 92, 117403 (2004).
[CrossRef] [PubMed]

Guven, K.

R. Moussa, S. Foteinopoulou, L. Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, "Negative refraction and superlens behavior in a two-dimensional photonic crystal," Phys. Rev. B 71, 085106 (2005).
[CrossRef]

K. Guven, K. Aydin, K. B. Alici, C. M. Soukoulis, and E. Ozbay, "Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens," Phys. Rev. B 70, 205125 (2004).
[CrossRef]

He, S.

S. Xiao, M. Qiu, Z. Ruan, and S. He, "Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction," Appl. Phys. Lett. 85, 4269-4271 (2004).
[CrossRef]

L. Chen, S. He, and L. Shen, "Finite-size effects of a left-handed material slab on the image quality," Phys. Rev. Lett. 92,107404 (2004).
[CrossRef] [PubMed]

Horn, K.

E. Rotenberg, W. Theis, K. Horn, and P. Gille, "Quasicrystalline valence bands in decagonal ALNiCo," Nature (London) 406, 602 (2000).
[CrossRef]

Hu, X.

X. Hu, and C. T. Chan, "Photonic crystals with silver nanowires as a near-infrared superlens," Appl. Phys. Lett. 85, 1520 (2004).
[CrossRef]

Joannopoulos, J. D.

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Subwavelength imaging in photonic crystals," Phys. Rev. B 68, 045115 (2003).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104 (2002).
[CrossRef]

Johnson, S. G.

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Subwavelength imaging in photonic crystals," Phys. Rev. B 68, 045115 (2003).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104 (2002).
[CrossRef]

Kempa, K.

X. Wang, Z. F. Ren, and K. Kempa, "Improved superlensing in two-dimensional photonic crystals with a basis," Appl. Phys. Lett. 86, 061105 (2005).
[CrossRef]

X. Wang and K. Kempa, "Effects of disorder on subwavelength lensing in two-dimensional photonic crystal slabs," Phys. Rev. B 71, 085101 (2005).
[CrossRef]

X. Wang, Z. F. Ren, and K. Kempa, "Unrestricted superlensing in a triangular two dimensional photoniccrystal," Opt. Express 12, 2919-2924 (2004).
[CrossRef] [PubMed]

Kissel, V. N.

A. N. Lagarkov, and V. N. Kissel, "Near-perfect imaging in a focusing system based on a left-handed-material plate," Phys. Rev. Lett. 92, 077401 (2004).
[CrossRef] [PubMed]

Kolinko, P.

D. R. Smith, D. Schurig, J. J. Mock, P. Kolinko, and P. Rye, "Partial focusing of radiation by a slab of indefinite media," Appl. Phys. Lett. 84, 2244 (2004).
[CrossRef]

Lagarkov, A. N.

A. N. Lagarkov, and V. N. Kissel, "Near-perfect imaging in a focusing system based on a left-handed-material plate," Phys. Rev. Lett. 92, 077401 (2004).
[CrossRef] [PubMed]

Lee, H.

N. Fang, H. Lee, C. Sun, and X. Zhang, "Sub-diffraction-limited optical imaging with a silver superlens," Science 308, 534 (2005).
[CrossRef] [PubMed]

Li, Z. Y.

Z. Feng, X. Zhang, Y. Q. Wang, Z. Y. Li, B. Y. Cheng, and D. Z. Zhang, "Negative refraction and imaging using 12-fold-symmetry quasicrystals," Phys. Rev. Lett. 94, 247402 (2005).
[CrossRef]

Li, Z.-Y.

Z.-Y. Li, and L.-L. Lin, "Evaluation of lensing in photonic crystal slabs exhibiting negative Refraction," Phys. Rev. B 68, 245110 (2003).
[CrossRef]

Lin, L.-L.

Z.-Y. Li, and L.-L. Lin, "Evaluation of lensing in photonic crystal slabs exhibiting negative Refraction," Phys. Rev. B 68, 245110 (2003).
[CrossRef]

Lu, W. T.

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, "Photonic crystals: Imaging by flat lens using negative refraction," Nature (London) 426, 404 (2003).
[CrossRef]

Luo, C.

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Subwavelength imaging in photonic crystals," Phys. Rev. B 68, 045115 (2003).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104 (2002).
[CrossRef]

Marti, J.

A. Martinez and J. Marti, "Negative refraction in two-dimensional photonic crystas: Role of lattice orientation and interface termination," Phys. Rev. B 71, 235115 (2005).
[CrossRef]

A. Martinez and J. Marti, "Analysis of wave focusing inside a negative-index photonic-crystal slab," Opt. Express 13, 2858-2868 (2005).
[CrossRef] [PubMed]

Martinez, A.

A. Martinez and J. Marti, "Negative refraction in two-dimensional photonic crystas: Role of lattice orientation and interface termination," Phys. Rev. B 71, 235115 (2005).
[CrossRef]

A. Martinez and J. Marti, "Analysis of wave focusing inside a negative-index photonic-crystal slab," Opt. Express 13, 2858-2868 (2005).
[CrossRef] [PubMed]

Michielsen, K.

Mock, J. J.

D. R. Smith, D. Schurig, J. J. Mock, P. Kolinko, and P. Rye, "Partial focusing of radiation by a slab of indefinite media," Appl. Phys. Lett. 84, 2244 (2004).
[CrossRef]

Moussa, R.

R. Moussa, S. Foteinopoulou, L. Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, "Negative refraction and superlens behavior in a two-dimensional photonic crystal," Phys. Rev. B 71, 085106 (2005).
[CrossRef]

Mulot, M.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, and S. Anand, "Negative refraction at infrared wavelengths in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

Netti, M. C.

M. E. Zoorob, M. D. B. Chartton, G. J. Parker, J. J. Baumberg, and M. C. Netti, "Complete photonic bandgaps in 12-fold symmetric quasicrystals," Nature 404, 740 (2000).
[CrossRef] [PubMed]

Notomi, M.

M. Notomi, "Theory of light propagation in strongly modulated photonic crystals: Refraction like behavior in the vicinity of the photonic band gap," Phys. Rev. B 62, 10 696 (2000).
[CrossRef]

Ozbay, E.

R. Moussa, S. Foteinopoulou, L. Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, "Negative refraction and superlens behavior in a two-dimensional photonic crystal," Phys. Rev. B 71, 085106 (2005).
[CrossRef]

K. Guven, K. Aydin, K. B. Alici, C. M. Soukoulis, and E. Ozbay, "Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens," Phys. Rev. B 70, 205125 (2004).
[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Subwavelength resolution in a two-dimensional photonic-crystal-based superlens," Phys. Rev. Lett. 91, 207401 (2003).
[CrossRef] [PubMed]

Parimi, P. V.

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, "Photonic crystals: Imaging by flat lens using negative refraction," Nature (London) 426, 404 (2003).
[CrossRef]

Parker, G. J.

M. E. Zoorob, M. D. B. Chartton, G. J. Parker, J. J. Baumberg, and M. C. Netti, "Complete photonic bandgaps in 12-fold symmetric quasicrystals," Nature 404, 740 (2000).
[CrossRef] [PubMed]

Pendry, J. B.

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Subwavelength imaging in photonic crystals," Phys. Rev. B 68, 045115 (2003).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104 (2002).
[CrossRef]

J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

Qiu, M.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, and S. Anand, "Negative refraction at infrared wavelengths in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

S. Xiao, M. Qiu, Z. Ruan, and S. He, "Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction," Appl. Phys. Lett. 85, 4269-4271 (2004).
[CrossRef]

Ren, Z. F.

X. Wang, Z. F. Ren, and K. Kempa, "Improved superlensing in two-dimensional photonic crystals with a basis," Appl. Phys. Lett. 86, 061105 (2005).
[CrossRef]

X. Wang, Z. F. Ren, and K. Kempa, "Unrestricted superlensing in a triangular two dimensional photoniccrystal," Opt. Express 12, 2919-2924 (2004).
[CrossRef] [PubMed]

Rotenberg, E.

E. Rotenberg, W. Theis, K. Horn, and P. Gille, "Quasicrystalline valence bands in decagonal ALNiCo," Nature (London) 406, 602 (2000).
[CrossRef]

Ruan, Z.

S. Xiao, M. Qiu, Z. Ruan, and S. He, "Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction," Appl. Phys. Lett. 85, 4269-4271 (2004).
[CrossRef]

Rye, P.

D. R. Smith, D. Schurig, J. J. Mock, P. Kolinko, and P. Rye, "Partial focusing of radiation by a slab of indefinite media," Appl. Phys. Lett. 84, 2244 (2004).
[CrossRef]

Schurig, D.

D. R. Smith, D. Schurig, J. J. Mock, P. Kolinko, and P. Rye, "Partial focusing of radiation by a slab of indefinite media," Appl. Phys. Lett. 84, 2244 (2004).
[CrossRef]

Shen, C.

Shen, L.

L. Chen, S. He, and L. Shen, "Finite-size effects of a left-handed material slab on the image quality," Phys. Rev. Lett. 92,107404 (2004).
[CrossRef] [PubMed]

Smith, D. R.

D. R. Smith, D. Schurig, J. J. Mock, P. Kolinko, and P. Rye, "Partial focusing of radiation by a slab of indefinite media," Appl. Phys. Lett. 84, 2244 (2004).
[CrossRef]

Soukoulis, C. M.

R. Moussa, S. Foteinopoulou, L. Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, "Negative refraction and superlens behavior in a two-dimensional photonic crystal," Phys. Rev. B 71, 085106 (2005).
[CrossRef]

K. Guven, K. Aydin, K. B. Alici, C. M. Soukoulis, and E. Ozbay, "Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens," Phys. Rev. B 70, 205125 (2004).
[CrossRef]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Subwavelength resolution in a two-dimensional photonic-crystal-based superlens," Phys. Rev. Lett. 91, 207401 (2003).
[CrossRef] [PubMed]

Sridhar, S.

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, "Photonic crystals: Imaging by flat lens using negative refraction," Nature (London) 426, 404 (2003).
[CrossRef]

Sun, C.

N. Fang, H. Lee, C. Sun, and X. Zhang, "Sub-diffraction-limited optical imaging with a silver superlens," Science 308, 534 (2005).
[CrossRef] [PubMed]

Swillo, M.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, and S. Anand, "Negative refraction at infrared wavelengths in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

Talneau, A.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, and S. Anand, "Negative refraction at infrared wavelengths in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

Theis, W.

E. Rotenberg, W. Theis, K. Horn, and P. Gille, "Quasicrystalline valence bands in decagonal ALNiCo," Nature (London) 406, 602 (2000).
[CrossRef]

Thylén, L.

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, and S. Anand, "Negative refraction at infrared wavelengths in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

Tuttle, G.

R. Moussa, S. Foteinopoulou, L. Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, "Negative refraction and superlens behavior in a two-dimensional photonic crystal," Phys. Rev. B 71, 085106 (2005).
[CrossRef]

Veselago, V. G.

V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

Vodo, P.

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, "Photonic crystals: Imaging by flat lens using negative refraction," Nature (London) 426, 404 (2003).
[CrossRef]

Wang, X.

X. Wang, Z. F. Ren, and K. Kempa, "Improved superlensing in two-dimensional photonic crystals with a basis," Appl. Phys. Lett. 86, 061105 (2005).
[CrossRef]

X. Wang and K. Kempa, "Effects of disorder on subwavelength lensing in two-dimensional photonic crystal slabs," Phys. Rev. B 71, 085101 (2005).
[CrossRef]

X. Wang, Z. F. Ren, and K. Kempa, "Unrestricted superlensing in a triangular two dimensional photoniccrystal," Opt. Express 12, 2919-2924 (2004).
[CrossRef] [PubMed]

Wang, Y. Q.

Z. Feng, X. Zhang, Y. Q. Wang, Z. Y. Li, B. Y. Cheng, and D. Z. Zhang, "Negative refraction and imaging using 12-fold-symmetry quasicrystals," Phys. Rev. Lett. 94, 247402 (2005).
[CrossRef]

Xiao, S.

S. Xiao, M. Qiu, Z. Ruan, and S. He, "Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction," Appl. Phys. Lett. 85, 4269-4271 (2004).
[CrossRef]

Zhang, D. Z.

Z. Feng, X. Zhang, Y. Q. Wang, Z. Y. Li, B. Y. Cheng, and D. Z. Zhang, "Negative refraction and imaging using 12-fold-symmetry quasicrystals," Phys. Rev. Lett. 94, 247402 (2005).
[CrossRef]

Zhang, L.

R. Moussa, S. Foteinopoulou, L. Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, "Negative refraction and superlens behavior in a two-dimensional photonic crystal," Phys. Rev. B 71, 085106 (2005).
[CrossRef]

Zhang, X.

N. Fang, H. Lee, C. Sun, and X. Zhang, "Sub-diffraction-limited optical imaging with a silver superlens," Science 308, 534 (2005).
[CrossRef] [PubMed]

X. Zhang, "Effect of interface and disorder on the far-field image in a two-dimensional photonic-crystal-based flat lens," Phys. Rev. B 71, 165116 (2005).
[CrossRef]

Z. Feng, X. Zhang, Y. Q. Wang, Z. Y. Li, B. Y. Cheng, and D. Z. Zhang, "Negative refraction and imaging using 12-fold-symmetry quasicrystals," Phys. Rev. Lett. 94, 247402 (2005).
[CrossRef]

X. Zhang, "Tunable non-near-field focus and imaging of an unpolarized electromagnetic wave," Phys. Rev. B 71, 235103 (2005).
[CrossRef]

X. Zhang, "Image resolution depending on slab thickness and object distance in a two-dimensional photoniccrystal-based superlens," Phys. Rev. B 70, 195110 (2004).
[CrossRef]

X. Zhang, "Absolute negative refraction and imaging of unpolarized electromagnetic waves by two-dimensional photonic crystals," Phys. Rev. B 70, 205102 (2004).
[CrossRef]

X. Zhang, Z. Q. Zhang, and C. T. Chan, "Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals," Phys. Rev. B 63, 081105(R) (2001).
[CrossRef]

Zhang, Z. Q.

X. Zhang, Z. Q. Zhang, and C. T. Chan, "Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals," Phys. Rev. B 63, 081105(R) (2001).
[CrossRef]

Zoorob, M. E.

M. E. Zoorob, M. D. B. Chartton, G. J. Parker, J. J. Baumberg, and M. C. Netti, "Complete photonic bandgaps in 12-fold symmetric quasicrystals," Nature 404, 740 (2000).
[CrossRef] [PubMed]

Appl. Phys. Lett.

D. R. Smith, D. Schurig, J. J. Mock, P. Kolinko, and P. Rye, "Partial focusing of radiation by a slab of indefinite media," Appl. Phys. Lett. 84, 2244 (2004).
[CrossRef]

S. Xiao, M. Qiu, Z. Ruan, and S. He, "Influence of the surface termination to the point imaging by a photonic crystal slab with negative refraction," Appl. Phys. Lett. 85, 4269-4271 (2004).
[CrossRef]

X. Hu, and C. T. Chan, "Photonic crystals with silver nanowires as a near-infrared superlens," Appl. Phys. Lett. 85, 1520 (2004).
[CrossRef]

X. Wang, Z. F. Ren, and K. Kempa, "Improved superlensing in two-dimensional photonic crystals with a basis," Appl. Phys. Lett. 86, 061105 (2005).
[CrossRef]

Nature

M. E. Zoorob, M. D. B. Chartton, G. J. Parker, J. J. Baumberg, and M. C. Netti, "Complete photonic bandgaps in 12-fold symmetric quasicrystals," Nature 404, 740 (2000).
[CrossRef] [PubMed]

Nature (London)

E. Rotenberg, W. Theis, K. Horn, and P. Gille, "Quasicrystalline valence bands in decagonal ALNiCo," Nature (London) 406, 602 (2000).
[CrossRef]

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, "Photonic crystals: Imaging by flat lens using negative refraction," Nature (London) 426, 404 (2003).
[CrossRef]

Opt. Express

Phys. Rev. B

X. Zhang, "Tunable non-near-field focus and imaging of an unpolarized electromagnetic wave," Phys. Rev. B 71, 235103 (2005).
[CrossRef]

X. Wang and K. Kempa, "Effects of disorder on subwavelength lensing in two-dimensional photonic crystal slabs," Phys. Rev. B 71, 085101 (2005).
[CrossRef]

X. Zhang, "Effect of interface and disorder on the far-field image in a two-dimensional photonic-crystal-based flat lens," Phys. Rev. B 71, 165116 (2005).
[CrossRef]

A. Martinez and J. Marti, "Negative refraction in two-dimensional photonic crystas: Role of lattice orientation and interface termination," Phys. Rev. B 71, 235115 (2005).
[CrossRef]

X. Zhang, Z. Q. Zhang, and C. T. Chan, "Absolute photonic band gaps in 12-fold symmetric photonic quasicrystals," Phys. Rev. B 63, 081105(R) (2001).
[CrossRef]

X. Zhang, "Image resolution depending on slab thickness and object distance in a two-dimensional photoniccrystal-based superlens," Phys. Rev. B 70, 195110 (2004).
[CrossRef]

X. Zhang, "Absolute negative refraction and imaging of unpolarized electromagnetic waves by two-dimensional photonic crystals," Phys. Rev. B 70, 205102 (2004).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Subwavelength imaging in photonic crystals," Phys. Rev. B 68, 045115 (2003).
[CrossRef]

R. Moussa, S. Foteinopoulou, L. Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, "Negative refraction and superlens behavior in a two-dimensional photonic crystal," Phys. Rev. B 71, 085106 (2005).
[CrossRef]

K. Guven, K. Aydin, K. B. Alici, C. M. Soukoulis, and E. Ozbay, "Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens," Phys. Rev. B 70, 205125 (2004).
[CrossRef]

Z.-Y. Li, and L.-L. Lin, "Evaluation of lensing in photonic crystal slabs exhibiting negative Refraction," Phys. Rev. B 68, 245110 (2003).
[CrossRef]

M. Notomi, "Theory of light propagation in strongly modulated photonic crystals: Refraction like behavior in the vicinity of the photonic band gap," Phys. Rev. B 62, 10 696 (2000).
[CrossRef]

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, 201104 (2002).
[CrossRef]

Phys. Rev. Lett.

J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966 (2000).
[CrossRef] [PubMed]

A. Grbic, and G. V. Eleftheriades, "Overcoming the diffraction limit with a planar lefthanded transmission-line lens," Phys. Rev. Lett. 92, 117403 (2004).
[CrossRef] [PubMed]

A. N. Lagarkov, and V. N. Kissel, "Near-perfect imaging in a focusing system based on a left-handed-material plate," Phys. Rev. Lett. 92, 077401 (2004).
[CrossRef] [PubMed]

L. Chen, S. He, and L. Shen, "Finite-size effects of a left-handed material slab on the image quality," Phys. Rev. Lett. 92,107404 (2004).
[CrossRef] [PubMed]

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Subwavelength resolution in a two-dimensional photonic-crystal-based superlens," Phys. Rev. Lett. 91, 207401 (2003).
[CrossRef] [PubMed]

A. Berrier, M. Mulot, M. Swillo, M. Qiu, L. Thylén, A. Talneau, and S. Anand, "Negative refraction at infrared wavelengths in a two-dimensional photonic crystal," Phys. Rev. Lett. 93, 073902 (2004).
[CrossRef] [PubMed]

Z. Feng, X. Zhang, Y. Q. Wang, Z. Y. Li, B. Y. Cheng, and D. Z. Zhang, "Negative refraction and imaging using 12-fold-symmetry quasicrystals," Phys. Rev. Lett. 94, 247402 (2005).
[CrossRef]

Science

N. Fang, H. Lee, C. Sun, and X. Zhang, "Sub-diffraction-limited optical imaging with a silver superlens," Science 308, 534 (2005).
[CrossRef] [PubMed]

Sov. Phys. Usp.

V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Phys. Usp. 10, 509 (1968).
[CrossRef]

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Figures (5)

Fig. 1.
Fig. 1.

Schemes of three kinds of PQC structure and the corresponding transmission coefficients as a function of frequency for the PQC slabs consisting of the dielectric cylinders with R=0.35a and ε = 8.4 . (a) and (d) correspond to the 8-fold PQC; (b) and (e) to 10-fold PQC; (c) and (f) to 12-fold PQC. Solid lines and dotted lines correspond to the cases of S wave and P wave, respectively.

Fig. 2.
Fig. 2.

The intensity distributions of EZ field for S wave (a) and HZ field for P wave (b) of point sources and their images across a 11a 2D PQC slab with 12-fold symmetry at frequency ω = 0.4365(2πa / c). The parameters of cylinders are identical to those in Fig. 1.

Fig. 3.
Fig. 3.

The intensity distributions along the transverse (Y) direction at the image plane for 12-fold PQC slabs with 11a (solid line), 9a (dashed line) and 7a (dotted line) thickness. (a) S wave; (b) P wave.

Fig. 4.
Fig. 4.

The intensity distributions of EZ field for S wave (a) and HZ field for P wave (b) of point sources and their images across a 11a 2D PQC slab with 10-fold symmetry at frequency ω = 0.4367(2πa / c). The parameters of cylinders are identical to those in Fig. 1.

Fig. 5.
Fig. 5.

The intensity distributions of EZ field for S wave (a) and HZ field for P wave (b) of point sources and their images across a 11a 2D PQC slab with 8-fold symmetry at frequency ω = 0.436(2πa / c). The parameters for cylinders are identical to those in Fig. 1.

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