Abstract

The FDTD method was applied to investigate the two-dimensional PhC slabs with periodically-aligned tube-type air holes. By numerical simulations, we found negative refraction behaviors by tuning the incident angle into the narrow negative-refraction angle range, and the collimation effects were analyzed by means of wave vector diagrams.

© 2007 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  3. K. M. Ho, C. T. Chan, and C. M. Soukoulis, "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett. 65, 3152-3155 (1990).
    [CrossRef] [PubMed]
  4. E. Yablonovitch, T. J. Gmitter, and K. M. Leung, "Photonic band structure: The face-centered-cubic case employing nonspherical atoms," Phys. Rev. Lett. 67, 2295-2298 (1991).
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    [CrossRef]
  7. S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic band gap crystals at near-infrared wavelengths," Science 289, 604-606 (2000).
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  8. J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (2000).
    [CrossRef] [PubMed]
  9. V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of eps and mu," Usp. Fiz. Nauk 92, 517 (1964).
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    [CrossRef]
  16. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999).
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    [CrossRef]
  24. C. H. Kuo and Z. Ye, "Optical transmission of photonic crystal structures formed by dielectric cylinders: Evidence for non-negative refraction," Phys. Rev. E 70, 056608-056611 (2004).
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    [CrossRef]
  28. Z. F. Feng, X. D. 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, 247402-247405 (2005).
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    [CrossRef]
  32. R. Moussa, T. Koschny, and C. M. Soukoulis, "Excitation of surface waves in a photonic crystal with negative refraction: The role of surface termination," Phys. Rev. B 74, 11511-11515 (2006).
    [CrossRef]

2006

R. Moussa, T. Koschny, and C. M. Soukoulis, "Excitation of surface waves in a photonic crystal with negative refraction: The role of surface termination," Phys. Rev. B 74, 11511-11515 (2006).
[CrossRef]

2005

Z. F. Feng, X. D. 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, 247402-247405 (2005).
[CrossRef]

P. A. Belov and C. R. Simovski, "Canalization of subwavelength images by electromagnetic crystals," Phys. Rev. B 71, 193105-193108 (2005).
[CrossRef]

S. Foteinopoulou and C. M. Soukoulis, "Electromagnetic wave propagation in two-dimensional photonic crystals: A study of anomalous refractive effects," Phys. Rev. B 72, 165112-165131 (2005).
[CrossRef]

2004

H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, and Z. Ye, "Directed diffraction without negative refration," Phys. Rev. B 70, 113101-113104 (2004).
[CrossRef]

C. H. Kuo and Z. Ye, "Optical transmission of photonic crystal structures formed by dielectric cylinders: Evidence for non-negative refraction," Phys. Rev. E 70, 056608-056611 (2004).
[CrossRef]

L. S. Chen, C. H. Kuo, and Z. Ye, "Guiding optical flows by photonic crystal slabs made of dielectric cylinders," Phys. Rev. E 69, 66612-66618 (2004).
[CrossRef]

L. S. Chen, C. H. Kuo, and Z. Ye, "Acoustic imaging and collimating by slab of sonic crystals made of arrays of rigid cylinders in air," Appl. Phys. Lett. 85, 1072-1074 (2004).
[CrossRef]

S. H. Xiao, M. Qiu, Z. C. Ruan, and S. L. 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]

2003

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Subwavelength imaging in photonic crystals," Phys. Rev. B 68, 045115-045129 (2003).
[CrossRef]

Z. Y. Li and L. L. Lin, "Evaluation of lensing in photonic crystal slabs exhibiting negative refraction," Phys. Rev. B 68, 245110-245116 (2003).
[CrossRef]

S. Foteinopoulou and C. M. Soukoulis, "Negative refraction and left-handed behavior in two-dimensional photonic crystals," Phys. Rev. B 67, 235107-235110 (2003).
[CrossRef]

2002

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, R201104-201107 (2002).
[CrossRef]

2001

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
[CrossRef] [PubMed]

2000

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic band gap crystals at near-infrared wavelengths," Science 289, 604-606 (2000).
[CrossRef] [PubMed]

J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (2000).
[CrossRef] [PubMed]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
[CrossRef] [PubMed]

D. R. Smith and N. Kroll, "Negative Refractive Index in left-handed materials," Phys. Rev. Lett. 83, 2933-2936 (2000).
[CrossRef]

M. Notomi, "Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap," Phys. Rev. B 62, 10696-10705 (2000).
[CrossRef]

1999

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999).
[CrossRef]

1998

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, R10096-10099 (1998).
[CrossRef]

1996

C. C. Cheng, V. Arbet-Engels, A. Scherer, and E. Yablonovitch, "Nanofabricated three dimensional photonic crystals operating at optical wavelengths," Phys. Scr., T 68, 17-20 (1996).
[CrossRef]

1991

E. Yablonovitch, T. J. Gmitter, and K. M. Leung, "Photonic band structure: The face-centered-cubic case employing nonspherical atoms," Phys. Rev. Lett. 67, 2295-2298 (1991).
[CrossRef] [PubMed]

1990

K. M. Ho, C. T. Chan, and C. M. Soukoulis, "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett. 65, 3152-3155 (1990).
[CrossRef] [PubMed]

1987

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

1964

V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of eps and mu," Usp. Fiz. Nauk 92, 517 (1964).

Arbet-Engels, V.

C. C. Cheng, V. Arbet-Engels, A. Scherer, and E. Yablonovitch, "Nanofabricated three dimensional photonic crystals operating at optical wavelengths," Phys. Scr., T 68, 17-20 (1996).
[CrossRef]

Belov, P. A.

P. A. Belov and C. R. Simovski, "Canalization of subwavelength images by electromagnetic crystals," Phys. Rev. B 71, 193105-193108 (2005).
[CrossRef]

Chan, C. T.

K. M. Ho, C. T. Chan, and C. M. Soukoulis, "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett. 65, 3152-3155 (1990).
[CrossRef] [PubMed]

Chen, C. C.

H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, and Z. Ye, "Directed diffraction without negative refration," Phys. Rev. B 70, 113101-113104 (2004).
[CrossRef]

Chen, L. S.

L. S. Chen, C. H. Kuo, and Z. Ye, "Guiding optical flows by photonic crystal slabs made of dielectric cylinders," Phys. Rev. E 69, 66612-66618 (2004).
[CrossRef]

L. S. Chen, C. H. Kuo, and Z. Ye, "Acoustic imaging and collimating by slab of sonic crystals made of arrays of rigid cylinders in air," Appl. Phys. Lett. 85, 1072-1074 (2004).
[CrossRef]

Cheng, B. Y.

Z. F. Feng, X. D. 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, 247402-247405 (2005).
[CrossRef]

Cheng, C. C.

C. C. Cheng, V. Arbet-Engels, A. Scherer, and E. Yablonovitch, "Nanofabricated three dimensional photonic crystals operating at optical wavelengths," Phys. Scr., T 68, 17-20 (1996).
[CrossRef]

Chien, H. T.

H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, and Z. Ye, "Directed diffraction without negative refration," Phys. Rev. B 70, 113101-113104 (2004).
[CrossRef]

Chutinan, A.

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic band gap crystals at near-infrared wavelengths," Science 289, 604-606 (2000).
[CrossRef] [PubMed]

Feng, Z. F.

Z. F. Feng, X. D. 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, 247402-247405 (2005).
[CrossRef]

Foteinopoulou, S.

S. Foteinopoulou and C. M. Soukoulis, "Electromagnetic wave propagation in two-dimensional photonic crystals: A study of anomalous refractive effects," Phys. Rev. B 72, 165112-165131 (2005).
[CrossRef]

S. Foteinopoulou and C. M. Soukoulis, "Negative refraction and left-handed behavior in two-dimensional photonic crystals," Phys. Rev. B 67, 235107-235110 (2003).
[CrossRef]

Gmitter, T. J.

E. Yablonovitch, T. J. Gmitter, and K. M. Leung, "Photonic band structure: The face-centered-cubic case employing nonspherical atoms," Phys. Rev. Lett. 67, 2295-2298 (1991).
[CrossRef] [PubMed]

He, S. L.

S. H. Xiao, M. Qiu, Z. C. Ruan, and S. L. 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]

Ho, K. M.

K. M. Ho, C. T. Chan, and C. M. Soukoulis, "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett. 65, 3152-3155 (1990).
[CrossRef] [PubMed]

Joannopoulos, J. D.

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Subwavelength imaging in photonic crystals," Phys. Rev. B 68, 045115-045129 (2003).
[CrossRef]

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, R201104-201107 (2002).
[CrossRef]

John, S.

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

Johnson, S. G.

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Subwavelength imaging in photonic crystals," Phys. Rev. B 68, 045115-045129 (2003).
[CrossRef]

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, R201104-201107 (2002).
[CrossRef]

Kawakami, S.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, R10096-10099 (1998).
[CrossRef]

Kawashima, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, R10096-10099 (1998).
[CrossRef]

Kosaka, H.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, R10096-10099 (1998).
[CrossRef]

Koschny, T.

R. Moussa, T. Koschny, and C. M. Soukoulis, "Excitation of surface waves in a photonic crystal with negative refraction: The role of surface termination," Phys. Rev. B 74, 11511-11515 (2006).
[CrossRef]

Kroll, N.

D. R. Smith and N. Kroll, "Negative Refractive Index in left-handed materials," Phys. Rev. Lett. 83, 2933-2936 (2000).
[CrossRef]

Kuo, C. H.

H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, and Z. Ye, "Directed diffraction without negative refration," Phys. Rev. B 70, 113101-113104 (2004).
[CrossRef]

L. S. Chen, C. H. Kuo, and Z. Ye, "Acoustic imaging and collimating by slab of sonic crystals made of arrays of rigid cylinders in air," Appl. Phys. Lett. 85, 1072-1074 (2004).
[CrossRef]

L. S. Chen, C. H. Kuo, and Z. Ye, "Guiding optical flows by photonic crystal slabs made of dielectric cylinders," Phys. Rev. E 69, 66612-66618 (2004).
[CrossRef]

C. H. Kuo and Z. Ye, "Optical transmission of photonic crystal structures formed by dielectric cylinders: Evidence for non-negative refraction," Phys. Rev. E 70, 056608-056611 (2004).
[CrossRef]

Leung, K. M.

E. Yablonovitch, T. J. Gmitter, and K. M. Leung, "Photonic band structure: The face-centered-cubic case employing nonspherical atoms," Phys. Rev. Lett. 67, 2295-2298 (1991).
[CrossRef] [PubMed]

Li, Z. Y.

Z. F. Feng, X. D. 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, 247402-247405 (2005).
[CrossRef]

Z. Y. Li and L. L. Lin, "Evaluation of lensing in photonic crystal slabs exhibiting negative refraction," Phys. Rev. B 68, 245110-245116 (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, 245110-245116 (2003).
[CrossRef]

Luo, C. Y.

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Subwavelength imaging in photonic crystals," Phys. Rev. B 68, 045115-045129 (2003).
[CrossRef]

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, R201104-201107 (2002).
[CrossRef]

Moussa, R.

R. Moussa, T. Koschny, and C. M. Soukoulis, "Excitation of surface waves in a photonic crystal with negative refraction: The role of surface termination," Phys. Rev. B 74, 11511-11515 (2006).
[CrossRef]

Nemat-Nasser, S. C.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
[CrossRef] [PubMed]

Noda, S.

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic band gap crystals at near-infrared wavelengths," Science 289, 604-606 (2000).
[CrossRef] [PubMed]

Notomi, M.

M. Notomi, "Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap," Phys. Rev. B 62, 10696-10705 (2000).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, R10096-10099 (1998).
[CrossRef]

Padilla, W. J.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
[CrossRef] [PubMed]

Pendry, J. B.

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Subwavelength imaging in photonic crystals," Phys. Rev. B 68, 045115-045129 (2003).
[CrossRef]

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, R201104-201107 (2002).
[CrossRef]

J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (2000).
[CrossRef] [PubMed]

Qiu, M.

S. H. Xiao, M. Qiu, Z. C. Ruan, and S. L. 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]

Ruan, Z. C.

S. H. Xiao, M. Qiu, Z. C. Ruan, and S. L. 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]

Sato, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, R10096-10099 (1998).
[CrossRef]

Scherer, A.

C. C. Cheng, V. Arbet-Engels, A. Scherer, and E. Yablonovitch, "Nanofabricated three dimensional photonic crystals operating at optical wavelengths," Phys. Scr., T 68, 17-20 (1996).
[CrossRef]

Schultz, S.

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
[CrossRef] [PubMed]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
[CrossRef] [PubMed]

Shelby, R. A.

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
[CrossRef] [PubMed]

Simovski, C. R.

P. A. Belov and C. R. Simovski, "Canalization of subwavelength images by electromagnetic crystals," Phys. Rev. B 71, 193105-193108 (2005).
[CrossRef]

Smith, D. R.

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
[CrossRef] [PubMed]

D. R. Smith and N. Kroll, "Negative Refractive Index in left-handed materials," Phys. Rev. Lett. 83, 2933-2936 (2000).
[CrossRef]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
[CrossRef] [PubMed]

Soukoulis, C. M.

R. Moussa, T. Koschny, and C. M. Soukoulis, "Excitation of surface waves in a photonic crystal with negative refraction: The role of surface termination," Phys. Rev. B 74, 11511-11515 (2006).
[CrossRef]

S. Foteinopoulou and C. M. Soukoulis, "Electromagnetic wave propagation in two-dimensional photonic crystals: A study of anomalous refractive effects," Phys. Rev. B 72, 165112-165131 (2005).
[CrossRef]

S. Foteinopoulou and C. M. Soukoulis, "Negative refraction and left-handed behavior in two-dimensional photonic crystals," Phys. Rev. B 67, 235107-235110 (2003).
[CrossRef]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett. 65, 3152-3155 (1990).
[CrossRef] [PubMed]

Tamamura, T.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, R10096-10099 (1998).
[CrossRef]

Tang, H. T.

H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, and Z. Ye, "Directed diffraction without negative refration," Phys. Rev. B 70, 113101-113104 (2004).
[CrossRef]

Tomita, A.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, R10096-10099 (1998).
[CrossRef]

Tomoda, K.

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic band gap crystals at near-infrared wavelengths," Science 289, 604-606 (2000).
[CrossRef] [PubMed]

Veselago, V. G.

V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of eps and mu," Usp. Fiz. Nauk 92, 517 (1964).

Vier, D. C.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
[CrossRef] [PubMed]

Wang, Y. Q.

Z. F. Feng, X. D. 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, 247402-247405 (2005).
[CrossRef]

Xiao, S. H.

S. H. Xiao, M. Qiu, Z. C. Ruan, and S. L. 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]

Yablonovitch, E.

C. C. Cheng, V. Arbet-Engels, A. Scherer, and E. Yablonovitch, "Nanofabricated three dimensional photonic crystals operating at optical wavelengths," Phys. Scr., T 68, 17-20 (1996).
[CrossRef]

E. Yablonovitch, T. J. Gmitter, and K. M. Leung, "Photonic band structure: The face-centered-cubic case employing nonspherical atoms," Phys. Rev. Lett. 67, 2295-2298 (1991).
[CrossRef] [PubMed]

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

Yamamoto, N.

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic band gap crystals at near-infrared wavelengths," Science 289, 604-606 (2000).
[CrossRef] [PubMed]

Ye, Z.

C. H. Kuo and Z. Ye, "Optical transmission of photonic crystal structures formed by dielectric cylinders: Evidence for non-negative refraction," Phys. Rev. E 70, 056608-056611 (2004).
[CrossRef]

H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, and Z. Ye, "Directed diffraction without negative refration," Phys. Rev. B 70, 113101-113104 (2004).
[CrossRef]

L. S. Chen, C. H. Kuo, and Z. Ye, "Guiding optical flows by photonic crystal slabs made of dielectric cylinders," Phys. Rev. E 69, 66612-66618 (2004).
[CrossRef]

L. S. Chen, C. H. Kuo, and Z. Ye, "Acoustic imaging and collimating by slab of sonic crystals made of arrays of rigid cylinders in air," Appl. Phys. Lett. 85, 1072-1074 (2004).
[CrossRef]

Zhang, D. Z.

Z. F. Feng, X. D. 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, 247402-247405 (2005).
[CrossRef]

Zhang, X. D.

Z. F. Feng, X. D. 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, 247402-247405 (2005).
[CrossRef]

Appl. Phys. Lett.

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Self-collimating phenomena in photonic crystals," Appl. Phys. Lett. 74, 1212-1214 (1999).
[CrossRef]

L. S. Chen, C. H. Kuo, and Z. Ye, "Acoustic imaging and collimating by slab of sonic crystals made of arrays of rigid cylinders in air," Appl. Phys. Lett. 85, 1072-1074 (2004).
[CrossRef]

S. H. Xiao, M. Qiu, Z. C. Ruan, and S. L. 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]

Phys. Rev. B

R. Moussa, T. Koschny, and C. M. Soukoulis, "Excitation of surface waves in a photonic crystal with negative refraction: The role of surface termination," Phys. Rev. B 74, 11511-11515 (2006).
[CrossRef]

Z. Y. Li and L. L. Lin, "Evaluation of lensing in photonic crystal slabs exhibiting negative refraction," Phys. Rev. B 68, 245110-245116 (2003).
[CrossRef]

P. A. Belov and C. R. Simovski, "Canalization of subwavelength images by electromagnetic crystals," Phys. Rev. B 71, 193105-193108 (2005).
[CrossRef]

H. T. Chien, H. T. Tang, C. H. Kuo, C. C. Chen, and Z. Ye, "Directed diffraction without negative refration," Phys. Rev. B 70, 113101-113104 (2004).
[CrossRef]

M. Notomi, "Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap," Phys. Rev. B 62, 10696-10705 (2000).
[CrossRef]

S. Foteinopoulou and C. M. Soukoulis, "Electromagnetic wave propagation in two-dimensional photonic crystals: A study of anomalous refractive effects," Phys. Rev. B 72, 165112-165131 (2005).
[CrossRef]

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "Subwavelength imaging in photonic crystals," Phys. Rev. B 68, 045115-045129 (2003).
[CrossRef]

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, "All-angle negative refraction without negative effective index," Phys. Rev. B 65, R201104-201107 (2002).
[CrossRef]

S. Foteinopoulou and C. M. Soukoulis, "Negative refraction and left-handed behavior in two-dimensional photonic crystals," Phys. Rev. B 67, 235107-235110 (2003).
[CrossRef]

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, "Superprism phenomena in photonic crystals," Phys. Rev. B 58, R10096-10099 (1998).
[CrossRef]

Phys. Rev. E

C. H. Kuo and Z. Ye, "Optical transmission of photonic crystal structures formed by dielectric cylinders: Evidence for non-negative refraction," Phys. Rev. E 70, 056608-056611 (2004).
[CrossRef]

L. S. Chen, C. H. Kuo, and Z. Ye, "Guiding optical flows by photonic crystal slabs made of dielectric cylinders," Phys. Rev. E 69, 66612-66618 (2004).
[CrossRef]

Phys. Rev. Lett.

Z. F. Feng, X. D. 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, 247402-247405 (2005).
[CrossRef]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
[CrossRef] [PubMed]

D. R. Smith and N. Kroll, "Negative Refractive Index in left-handed materials," Phys. Rev. Lett. 83, 2933-2936 (2000).
[CrossRef]

E. Yablonovitch, "Inhibited spontaneous emission in solid-state physics and electronics," Phys. Rev. Lett. 58, 2059-2062 (1987).
[CrossRef] [PubMed]

S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987).
[CrossRef] [PubMed]

K. M. Ho, C. T. Chan, and C. M. Soukoulis, "Existence of a photonic gap in periodic dielectric structures," Phys. Rev. Lett. 65, 3152-3155 (1990).
[CrossRef] [PubMed]

E. Yablonovitch, T. J. Gmitter, and K. M. Leung, "Photonic band structure: The face-centered-cubic case employing nonspherical atoms," Phys. Rev. Lett. 67, 2295-2298 (1991).
[CrossRef] [PubMed]

J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (2000).
[CrossRef] [PubMed]

Phys. Scr., T

C. C. Cheng, V. Arbet-Engels, A. Scherer, and E. Yablonovitch, "Nanofabricated three dimensional photonic crystals operating at optical wavelengths," Phys. Scr., T 68, 17-20 (1996).
[CrossRef]

Science

S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, "Full three-dimensional photonic band gap crystals at near-infrared wavelengths," Science 289, 604-606 (2000).
[CrossRef] [PubMed]

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
[CrossRef] [PubMed]

Usp. Fiz. Nauk

V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of eps and mu," Usp. Fiz. Nauk 92, 517 (1964).

Other

J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the flow of light (Princeton Univ. Press, 1995).

C. H. Kuo and Z. Ye, "Band gap or negative refraction effects," cond-mat/0310423 1-8 (2003).

M. Qiu, F2P: Finite-difference time-domain 2D simulator for Photonic devices, http://www.imit.kth.se/info/FOFU/PC/F2P/.

K. Sakoda, "Optical properties of photonic crystals," (Springer-Verlag, Berlin, 2001).

J. Garcia-Pomar and M. Nieto-Vesperinas M, "Waveguiding, collimation and subwavelength concentration in photonic crystals," Opt. Expr. 13, 7997-8007 (2005).
[CrossRef]

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Figures (9)

Fig. 1.
Fig. 1.

(a) Bands of 2D PhC for TM-polarized modes. The PhC is constructed by periodically digging air holes with tube shape(see the inset) in a medium with dielectric constant ε = 12.96. The inset is the single scatter with a tube shape, r 1,r 2,r 3 are the radii of the three circles. (b) The calculated transmission curves for TM-polarized incident light along the ΓX and ΓM directions.

Fig. 2.
Fig. 2.

(a) EFCs of the PhC with the parameters described in Fig. 1. (b) Wave vector diagram for AARNR, 2D PhC slab truncated along ΓM interface. (c) Wave vector diagram for LNR, 2D PhC slab truncated along ΓX interface.

Fig. 3.
Fig. 3.

(a) Wave vector diagram of collimation, 2D PhC slab truncated along the ΓM interface. (b) Analysis based on PhC EFCs for f = 0.19 and f = 0.28.

Fig. 4.
Fig. 4.

Schematic diagram of a symmetric PhC slab system. The position of the surface termination is denoted by δx. When δx = 0, the distance between the left/right boundary of the PhC slab and the left/right boundary of the first/last column of circles is 0.1a.

Fig. 5.
Fig. 5.

(a-c) Snapshot of Hz field for a point source with f = 0.19, and the sample PhC slab is truncated along the ΓM interface. (b-d) Same as in (a-c) but for f = 0.28, and the sample PhC slab is truncated along the ΓX interface.

Fig. 6.
Fig. 6.

(a) Snapshot of Hz field for a point source with f = 0.19, the square sample is truncated along the ΓX interface. (b) Same as in (a) but for f = 0.28.

Fig. 7.
Fig. 7.

(a) Snapshot of Hz field for an incident Gaussian beam with frequency f = 0.190. The slanted angle of the slab is ψ = 7°. (b) Snapshot of Hz field for an incident Gaussian beam with frequency f = 0.28. The slanted angle of the slab is ψ= 27°. (c) Same as in (a) but the slanted angle θ= 40°. (d) Same as in (c) but the slanted angle ψ= 70°.

Fig. 8.
Fig. 8.

(a) Snapshot of Hz field for a point source with reduced frequency f = 0.19 and its imaging across a PhC slab superlens with δx= 0.0a. (b) Same as in (a) but with δx= 0.26a.

Fig. 9.
Fig. 9.

Normalized transverse field intensities vs transverse positions for f = 0.190.

Equations (3)

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w 2 d tan ( α 2 ) .
n air sin β = n e sin γ ,
n e = sgn ( v g . k ) ( c k / ω ) ,

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