Abstract

Self-collimations are found in one-dimensional (1D) photonic crystals consisting of two kinds of single-negative materials that effectively cancel each other out. Compared to the self-collimations in all-dielectric photonic crystals or 1D photonic crystals with negative-index materials, this kind of structure can amplify both far and near fields greatly during collimation.

© 2010 OSA

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  1. 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(9), 1212 (1999).
    [Crossref]
  2. D. N. Chigrin, S. Enoch, C. Sotomayor Torres, and G. Tayeb, “Self-guiding in two-dimensional photonic crystals,” Opt. Express 11(10), 1203–1211 (2003).
    [Crossref] [PubMed]
  3. C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “Subwavelength imaging in photonic crystals,” Phys. Rev. B 68(4), 045115 (2003).
    [Crossref]
  4. Z. Y. Li and L. L. Lin, “Evaluation of lensing in photonic crystal slabs exhibiting negative refraction,” Phys. Rev. B 68(24), 245110 (2003).
    [Crossref]
  5. P. A. Belov, C. R. Simovski, and P. Ikonen, “Canalization of subwavelength images by electromagnetic crystals,” Phys. Rev. B 71(19), 193105 (2005).
    [Crossref]
  6. P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
    [Crossref] [PubMed]
  7. R. E. Hamam, M. Ibanescu, S. G. Johnson, J. D. Joannopoulos, and M. Soljacić, “Broadband super-collimation in a hybrid photonic crystal structure,” Opt. Express 17(10), 8109–8118 (2009).
    [Crossref] [PubMed]
  8. Z. L. Lu, S. Y. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, “Experimental demonstration of self-collimation inside a three-dimensional photonic crystal,” Phys. Rev. Lett. 96(17), 173902 (2006).
    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref]
  11. B. L. Miao, C. H. Chen, S. Y. Shi, and D. W. Prather, “A high-efficiency in-plane splitting coupler for planar photonic crystal self-collimation devices,” IEEE Photon. Technol. Lett. 17(1), 61–63 (2005).
    [Crossref]
  12. D. Y. Zhao, J. Zhang, P. J. Yao, X. Y. Jiang, and X. Y. Chen, “Photonic crystal Mach-Zehnder interferometer based on self-collimation,” Appl. Phys. Lett. 90(23), 231114 (2007).
    [Crossref]
  13. J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
    [Crossref] [PubMed]
  14. R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
    [Crossref] [PubMed]
  15. J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
    [Crossref] [PubMed]
  16. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
    [Crossref]
  17. A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Firsov, I. Y. Khrushchev, and J. Petrovic, “Nanofabricated media with negative permeability at visible frequencies,” Nature 438(7066), 335–338 (2005).
    [Crossref] [PubMed]
  18. V. Mocella, S. Cabrini, A. S. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102(13), 133902 (2009).
    [Crossref] [PubMed]
  19. K. J. Webb and M. C. Yang, “Generation and control of optical vortices using left-handed materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(1), 016601 (2006).
    [Crossref] [PubMed]
  20. J. Li, L. Zhou, C. T. Chan, and P. Sheng, “Photonic band gap from a stack of positive and negative index materials,” Phys. Rev. Lett. 90(8), 083901 (2003).
    [Crossref] [PubMed]
  21. H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, “Properties of one-dimensional photonic crystals containing single-negative materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6), 066607 (2004).
    [Crossref] [PubMed]
  22. A. Alu and N. Engheta, “Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency,” IEEE Trans. Antenn. Propag. 51(10), 2558–2571 (2003).
    [Crossref]
  23. C. M. Rappaport and B. J. McCartin, “FDFD analysis of electromagnetic scattering in anisotropic media using unconstrained triangular meshes,” IEEE Trans. Antenn. Propag. 39(3), 345–349 (1991).
    [Crossref]
  24. J. L. Zhang, H. T. Jiang, W. D. Shen, X. Liu, Y. Y. Li, and P. F. Gu, “Omnidirectional transmission bands of one-dimensional metal-dielectric periodic structures,” J. Opt. Soc. Am. B 25(9), 1474 (2008).
    [Crossref]
  25. S. Zouhdi, A. V. Dorofeenko, A. M. Merzlikin, and A. P. Vinogradov, “Theory of zero-width band gap effect in photonic crystals made of metamaterials,” Phys. Rev. B 75(3), 035125 (2007).
    [Crossref]
  26. J. A. Kong, B. L. Wu, and Y. Zhang, “Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability,” Appl. Phys. Lett. 80(12), 2084 (2002).
    [Crossref]
  27. J. Zhang, H. Jiang, B. Gralak, S. Enoch, G. Tayeb, and M. Lequime, “Compensation of loss to approach −1 effective index by gain in metal-dielectric stacks,” Eur. Phys. J. Appl. Phys. 46(3), 32603 (2009).
    [Crossref]
  28. Y. Sivan, S. M. Xiao, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Frequency-domain simulations of a negative-index material with embedded gain,” Opt. Express 17(26), 24060–24074 (2009).
    [Crossref]
  29. Z. G. Dong, H. Liu, T. Li, Z. H. Zhu, S. M. Wang, J. X. Cao, S. N. Zhu, and X. Zhang, “Optical loss compensation in a bulk left-handed metamaterial by the gain in quantum dots,” Appl. Phys. Lett. 96(4), 044104 (2010).
    [Crossref]

2010 (1)

Z. G. Dong, H. Liu, T. Li, Z. H. Zhu, S. M. Wang, J. X. Cao, S. N. Zhu, and X. Zhang, “Optical loss compensation in a bulk left-handed metamaterial by the gain in quantum dots,” Appl. Phys. Lett. 96(4), 044104 (2010).
[Crossref]

2009 (4)

J. Zhang, H. Jiang, B. Gralak, S. Enoch, G. Tayeb, and M. Lequime, “Compensation of loss to approach −1 effective index by gain in metal-dielectric stacks,” Eur. Phys. J. Appl. Phys. 46(3), 32603 (2009).
[Crossref]

R. E. Hamam, M. Ibanescu, S. G. Johnson, J. D. Joannopoulos, and M. Soljacić, “Broadband super-collimation in a hybrid photonic crystal structure,” Opt. Express 17(10), 8109–8118 (2009).
[Crossref] [PubMed]

Y. Sivan, S. M. Xiao, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Frequency-domain simulations of a negative-index material with embedded gain,” Opt. Express 17(26), 24060–24074 (2009).
[Crossref]

V. Mocella, S. Cabrini, A. S. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102(13), 133902 (2009).
[Crossref] [PubMed]

2008 (1)

2007 (3)

S. Zouhdi, A. V. Dorofeenko, A. M. Merzlikin, and A. P. Vinogradov, “Theory of zero-width band gap effect in photonic crystals made of metamaterials,” Phys. Rev. B 75(3), 035125 (2007).
[Crossref]

M.-W. Kim, S.-G. Lee, T.-T. Kim, J.-E. Kim, H. Y. Park, and C.-S. Kee, “Experimental demonstration of bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 90(11), 113121 (2007).
[Crossref]

D. Y. Zhao, J. Zhang, P. J. Yao, X. Y. Jiang, and X. Y. Chen, “Photonic crystal Mach-Zehnder interferometer based on self-collimation,” Appl. Phys. Lett. 90(23), 231114 (2007).
[Crossref]

2006 (3)

Z. L. Lu, S. Y. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, “Experimental demonstration of self-collimation inside a three-dimensional photonic crystal,” Phys. Rev. Lett. 96(17), 173902 (2006).
[Crossref] [PubMed]

K. J. Webb and M. C. Yang, “Generation and control of optical vortices using left-handed materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(1), 016601 (2006).
[Crossref] [PubMed]

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[Crossref] [PubMed]

2005 (3)

P. A. Belov, C. R. Simovski, and P. Ikonen, “Canalization of subwavelength images by electromagnetic crystals,” Phys. Rev. B 71(19), 193105 (2005).
[Crossref]

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Firsov, I. Y. Khrushchev, and J. Petrovic, “Nanofabricated media with negative permeability at visible frequencies,” Nature 438(7066), 335–338 (2005).
[Crossref] [PubMed]

B. L. Miao, C. H. Chen, S. Y. Shi, and D. W. Prather, “A high-efficiency in-plane splitting coupler for planar photonic crystal self-collimation devices,” IEEE Photon. Technol. Lett. 17(1), 61–63 (2005).
[Crossref]

2004 (1)

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, “Properties of one-dimensional photonic crystals containing single-negative materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6), 066607 (2004).
[Crossref] [PubMed]

2003 (6)

A. Alu and N. Engheta, “Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency,” IEEE Trans. Antenn. Propag. 51(10), 2558–2571 (2003).
[Crossref]

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “Subwavelength imaging in photonic crystals,” Phys. Rev. B 68(4), 045115 (2003).
[Crossref]

Z. Y. Li and L. L. Lin, “Evaluation of lensing in photonic crystal slabs exhibiting negative refraction,” Phys. Rev. B 68(24), 245110 (2003).
[Crossref]

J. Li, L. Zhou, C. T. Chan, and P. Sheng, “Photonic band gap from a stack of positive and negative index materials,” Phys. Rev. Lett. 90(8), 083901 (2003).
[Crossref] [PubMed]

X. F. Yu and S. H. Fan, “Bends and splitters for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 83(16), 3251 (2003).
[Crossref]

D. N. Chigrin, S. Enoch, C. Sotomayor Torres, and G. Tayeb, “Self-guiding in two-dimensional photonic crystals,” Opt. Express 11(10), 1203–1211 (2003).
[Crossref] [PubMed]

2002 (1)

J. A. Kong, B. L. Wu, and Y. Zhang, “Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability,” Appl. Phys. Lett. 80(12), 2084 (2002).
[Crossref]

2001 (1)

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[Crossref] [PubMed]

2000 (1)

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
[Crossref] [PubMed]

1999 (2)

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[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(9), 1212 (1999).
[Crossref]

1996 (1)

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[Crossref] [PubMed]

1991 (1)

C. M. Rappaport and B. J. McCartin, “FDFD analysis of electromagnetic scattering in anisotropic media using unconstrained triangular meshes,” IEEE Trans. Antenn. Propag. 39(3), 345–349 (1991).
[Crossref]

Alu, A.

A. Alu and N. Engheta, “Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency,” IEEE Trans. Antenn. Propag. 51(10), 2558–2571 (2003).
[Crossref]

Belov, P. A.

P. A. Belov, C. R. Simovski, and P. Ikonen, “Canalization of subwavelength images by electromagnetic crystals,” Phys. Rev. B 71(19), 193105 (2005).
[Crossref]

Cabrini, S.

V. Mocella, S. Cabrini, A. S. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102(13), 133902 (2009).
[Crossref] [PubMed]

Cao, J. X.

Z. G. Dong, H. Liu, T. Li, Z. H. Zhu, S. M. Wang, J. X. Cao, S. N. Zhu, and X. Zhang, “Optical loss compensation in a bulk left-handed metamaterial by the gain in quantum dots,” Appl. Phys. Lett. 96(4), 044104 (2010).
[Crossref]

Chan, C. T.

J. Li, L. Zhou, C. T. Chan, and P. Sheng, “Photonic band gap from a stack of positive and negative index materials,” Phys. Rev. Lett. 90(8), 083901 (2003).
[Crossref] [PubMed]

Chang, A. S.

V. Mocella, S. Cabrini, A. S. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102(13), 133902 (2009).
[Crossref] [PubMed]

Chen, C. H.

B. L. Miao, C. H. Chen, S. Y. Shi, and D. W. Prather, “A high-efficiency in-plane splitting coupler for planar photonic crystal self-collimation devices,” IEEE Photon. Technol. Lett. 17(1), 61–63 (2005).
[Crossref]

Chen, H.

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, “Properties of one-dimensional photonic crystals containing single-negative materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6), 066607 (2004).
[Crossref] [PubMed]

Chen, X. Y.

D. Y. Zhao, J. Zhang, P. J. Yao, X. Y. Jiang, and X. Y. Chen, “Photonic crystal Mach-Zehnder interferometer based on self-collimation,” Appl. Phys. Lett. 90(23), 231114 (2007).
[Crossref]

Chettiar, U. K.

Chigrin, D. N.

Dahlem, M. S.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[Crossref] [PubMed]

Dardano, P.

V. Mocella, S. Cabrini, A. S. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102(13), 133902 (2009).
[Crossref] [PubMed]

Dhuey, S.

V. Mocella, S. Cabrini, A. S. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102(13), 133902 (2009).
[Crossref] [PubMed]

Dong, Z. G.

Z. G. Dong, H. Liu, T. Li, Z. H. Zhu, S. M. Wang, J. X. Cao, S. N. Zhu, and X. Zhang, “Optical loss compensation in a bulk left-handed metamaterial by the gain in quantum dots,” Appl. Phys. Lett. 96(4), 044104 (2010).
[Crossref]

Dorofeenko, A. V.

S. Zouhdi, A. V. Dorofeenko, A. M. Merzlikin, and A. P. Vinogradov, “Theory of zero-width band gap effect in photonic crystals made of metamaterials,” Phys. Rev. B 75(3), 035125 (2007).
[Crossref]

Engheta, N.

A. Alu and N. Engheta, “Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency,” IEEE Trans. Antenn. Propag. 51(10), 2558–2571 (2003).
[Crossref]

Enoch, S.

J. Zhang, H. Jiang, B. Gralak, S. Enoch, G. Tayeb, and M. Lequime, “Compensation of loss to approach −1 effective index by gain in metal-dielectric stacks,” Eur. Phys. J. Appl. Phys. 46(3), 32603 (2009).
[Crossref]

D. N. Chigrin, S. Enoch, C. Sotomayor Torres, and G. Tayeb, “Self-guiding in two-dimensional photonic crystals,” Opt. Express 11(10), 1203–1211 (2003).
[Crossref] [PubMed]

Fan, S. H.

X. F. Yu and S. H. Fan, “Bends and splitters for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 83(16), 3251 (2003).
[Crossref]

Firsov, A. A.

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Firsov, I. Y. Khrushchev, and J. Petrovic, “Nanofabricated media with negative permeability at visible frequencies,” Nature 438(7066), 335–338 (2005).
[Crossref] [PubMed]

Geim, A. K.

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Firsov, I. Y. Khrushchev, and J. Petrovic, “Nanofabricated media with negative permeability at visible frequencies,” Nature 438(7066), 335–338 (2005).
[Crossref] [PubMed]

Gleeson, H. F.

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Firsov, I. Y. Khrushchev, and J. Petrovic, “Nanofabricated media with negative permeability at visible frequencies,” Nature 438(7066), 335–338 (2005).
[Crossref] [PubMed]

Gralak, B.

J. Zhang, H. Jiang, B. Gralak, S. Enoch, G. Tayeb, and M. Lequime, “Compensation of loss to approach −1 effective index by gain in metal-dielectric stacks,” Eur. Phys. J. Appl. Phys. 46(3), 32603 (2009).
[Crossref]

Grigorenko, A. N.

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Firsov, I. Y. Khrushchev, and J. Petrovic, “Nanofabricated media with negative permeability at visible frequencies,” Nature 438(7066), 335–338 (2005).
[Crossref] [PubMed]

Gu, P. F.

Hamam, R. E.

Harteneck, B.

V. Mocella, S. Cabrini, A. S. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102(13), 133902 (2009).
[Crossref] [PubMed]

Holden, A. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[Crossref]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[Crossref] [PubMed]

Ibanescu, M.

R. E. Hamam, M. Ibanescu, S. G. Johnson, J. D. Joannopoulos, and M. Soljacić, “Broadband super-collimation in a hybrid photonic crystal structure,” Opt. Express 17(10), 8109–8118 (2009).
[Crossref] [PubMed]

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[Crossref] [PubMed]

Ikonen, P.

P. A. Belov, C. R. Simovski, and P. Ikonen, “Canalization of subwavelength images by electromagnetic crystals,” Phys. Rev. B 71(19), 193105 (2005).
[Crossref]

Ippen, E. P.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[Crossref] [PubMed]

Jiang, H.

J. Zhang, H. Jiang, B. Gralak, S. Enoch, G. Tayeb, and M. Lequime, “Compensation of loss to approach −1 effective index by gain in metal-dielectric stacks,” Eur. Phys. J. Appl. Phys. 46(3), 32603 (2009).
[Crossref]

Jiang, H. T.

J. L. Zhang, H. T. Jiang, W. D. Shen, X. Liu, Y. Y. Li, and P. F. Gu, “Omnidirectional transmission bands of one-dimensional metal-dielectric periodic structures,” J. Opt. Soc. Am. B 25(9), 1474 (2008).
[Crossref]

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, “Properties of one-dimensional photonic crystals containing single-negative materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6), 066607 (2004).
[Crossref] [PubMed]

Jiang, X. Y.

D. Y. Zhao, J. Zhang, P. J. Yao, X. Y. Jiang, and X. Y. Chen, “Photonic crystal Mach-Zehnder interferometer based on self-collimation,” Appl. Phys. Lett. 90(23), 231114 (2007).
[Crossref]

Joannopoulos, J. D.

R. E. Hamam, M. Ibanescu, S. G. Johnson, J. D. Joannopoulos, and M. Soljacić, “Broadband super-collimation in a hybrid photonic crystal structure,” Opt. Express 17(10), 8109–8118 (2009).
[Crossref] [PubMed]

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[Crossref] [PubMed]

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “Subwavelength imaging in photonic crystals,” Phys. Rev. B 68(4), 045115 (2003).
[Crossref]

Johnson, S. G.

R. E. Hamam, M. Ibanescu, S. G. Johnson, J. D. Joannopoulos, and M. Soljacić, “Broadband super-collimation in a hybrid photonic crystal structure,” Opt. Express 17(10), 8109–8118 (2009).
[Crossref] [PubMed]

C. Y. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, “Subwavelength imaging in photonic crystals,” Phys. Rev. B 68(4), 045115 (2003).
[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(9), 1212 (1999).
[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(9), 1212 (1999).
[Crossref]

Kee, C.-S.

M.-W. Kim, S.-G. Lee, T.-T. Kim, J.-E. Kim, H. Y. Park, and C.-S. Kee, “Experimental demonstration of bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 90(11), 113121 (2007).
[Crossref]

Khrushchev, I. Y.

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Firsov, I. Y. Khrushchev, and J. Petrovic, “Nanofabricated media with negative permeability at visible frequencies,” Nature 438(7066), 335–338 (2005).
[Crossref] [PubMed]

Kildishev, A. V.

Kim, J.-E.

M.-W. Kim, S.-G. Lee, T.-T. Kim, J.-E. Kim, H. Y. Park, and C.-S. Kee, “Experimental demonstration of bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 90(11), 113121 (2007).
[Crossref]

Kim, M.-W.

M.-W. Kim, S.-G. Lee, T.-T. Kim, J.-E. Kim, H. Y. Park, and C.-S. Kee, “Experimental demonstration of bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 90(11), 113121 (2007).
[Crossref]

Kim, T.-T.

M.-W. Kim, S.-G. Lee, T.-T. Kim, J.-E. Kim, H. Y. Park, and C.-S. Kee, “Experimental demonstration of bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 90(11), 113121 (2007).
[Crossref]

Kolodziejski, L. A.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[Crossref] [PubMed]

Kong, J. A.

J. A. Kong, B. L. Wu, and Y. Zhang, “Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability,” Appl. Phys. Lett. 80(12), 2084 (2002).
[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(9), 1212 (1999).
[Crossref]

Lee, S.-G.

M.-W. Kim, S.-G. Lee, T.-T. Kim, J.-E. Kim, H. Y. Park, and C.-S. Kee, “Experimental demonstration of bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 90(11), 113121 (2007).
[Crossref]

Lequime, M.

J. Zhang, H. Jiang, B. Gralak, S. Enoch, G. Tayeb, and M. Lequime, “Compensation of loss to approach −1 effective index by gain in metal-dielectric stacks,” Eur. Phys. J. Appl. Phys. 46(3), 32603 (2009).
[Crossref]

Li, H. Q.

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, “Properties of one-dimensional photonic crystals containing single-negative materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6), 066607 (2004).
[Crossref] [PubMed]

Li, J.

J. Li, L. Zhou, C. T. Chan, and P. Sheng, “Photonic band gap from a stack of positive and negative index materials,” Phys. Rev. Lett. 90(8), 083901 (2003).
[Crossref] [PubMed]

Li, T.

Z. G. Dong, H. Liu, T. Li, Z. H. Zhu, S. M. Wang, J. X. Cao, S. N. Zhu, and X. Zhang, “Optical loss compensation in a bulk left-handed metamaterial by the gain in quantum dots,” Appl. Phys. Lett. 96(4), 044104 (2010).
[Crossref]

Li, Y. Y.

Li, Z. Y.

Z. Y. Li and L. L. Lin, “Evaluation of lensing in photonic crystal slabs exhibiting negative refraction,” Phys. Rev. B 68(24), 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(24), 245110 (2003).
[Crossref]

Liu, H.

Z. G. Dong, H. Liu, T. Li, Z. H. Zhu, S. M. Wang, J. X. Cao, S. N. Zhu, and X. Zhang, “Optical loss compensation in a bulk left-handed metamaterial by the gain in quantum dots,” Appl. Phys. Lett. 96(4), 044104 (2010).
[Crossref]

Liu, X.

Lu, Z. L.

Z. L. Lu, S. Y. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, “Experimental demonstration of self-collimation inside a three-dimensional photonic crystal,” Phys. Rev. Lett. 96(17), 173902 (2006).
[Crossref] [PubMed]

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(4), 045115 (2003).
[Crossref]

McCartin, B. J.

C. M. Rappaport and B. J. McCartin, “FDFD analysis of electromagnetic scattering in anisotropic media using unconstrained triangular meshes,” IEEE Trans. Antenn. Propag. 39(3), 345–349 (1991).
[Crossref]

Merzlikin, A. M.

S. Zouhdi, A. V. Dorofeenko, A. M. Merzlikin, and A. P. Vinogradov, “Theory of zero-width band gap effect in photonic crystals made of metamaterials,” Phys. Rev. B 75(3), 035125 (2007).
[Crossref]

Miao, B. L.

B. L. Miao, C. H. Chen, S. Y. Shi, and D. W. Prather, “A high-efficiency in-plane splitting coupler for planar photonic crystal self-collimation devices,” IEEE Photon. Technol. Lett. 17(1), 61–63 (2005).
[Crossref]

Mocella, V.

V. Mocella, S. Cabrini, A. S. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102(13), 133902 (2009).
[Crossref] [PubMed]

Moretti, L.

V. Mocella, S. Cabrini, A. S. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102(13), 133902 (2009).
[Crossref] [PubMed]

Murakowski, J. A.

Z. L. Lu, S. Y. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, “Experimental demonstration of self-collimation inside a three-dimensional photonic crystal,” Phys. Rev. Lett. 96(17), 173902 (2006).
[Crossref] [PubMed]

Notomi, M.

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(9), 1212 (1999).
[Crossref]

Olynick, D.

V. Mocella, S. Cabrini, A. S. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102(13), 133902 (2009).
[Crossref] [PubMed]

Park, H. Y.

M.-W. Kim, S.-G. Lee, T.-T. Kim, J.-E. Kim, H. Y. Park, and C.-S. Kee, “Experimental demonstration of bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 90(11), 113121 (2007).
[Crossref]

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(4), 045115 (2003).
[Crossref]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85(18), 3966–3969 (2000).
[Crossref] [PubMed]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[Crossref]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[Crossref] [PubMed]

Petrich, G. S.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[Crossref] [PubMed]

Petrovic, J.

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Firsov, I. Y. Khrushchev, and J. Petrovic, “Nanofabricated media with negative permeability at visible frequencies,” Nature 438(7066), 335–338 (2005).
[Crossref] [PubMed]

Prather, D. W.

Z. L. Lu, S. Y. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, “Experimental demonstration of self-collimation inside a three-dimensional photonic crystal,” Phys. Rev. Lett. 96(17), 173902 (2006).
[Crossref] [PubMed]

B. L. Miao, C. H. Chen, S. Y. Shi, and D. W. Prather, “A high-efficiency in-plane splitting coupler for planar photonic crystal self-collimation devices,” IEEE Photon. Technol. Lett. 17(1), 61–63 (2005).
[Crossref]

Rakich, P. T.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[Crossref] [PubMed]

Rappaport, C. M.

C. M. Rappaport and B. J. McCartin, “FDFD analysis of electromagnetic scattering in anisotropic media using unconstrained triangular meshes,” IEEE Trans. Antenn. Propag. 39(3), 345–349 (1991).
[Crossref]

Rendina, I.

V. Mocella, S. Cabrini, A. S. Chang, P. Dardano, L. Moretti, I. Rendina, D. Olynick, B. Harteneck, and S. Dhuey, “Self-collimation of light over millimeter-scale distance in a quasi-zero-average-index metamaterial,” Phys. Rev. Lett. 102(13), 133902 (2009).
[Crossref] [PubMed]

Robbins, D. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[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(9), 1212 (1999).
[Crossref]

Schneider, G. J.

Z. L. Lu, S. Y. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, “Experimental demonstration of self-collimation inside a three-dimensional photonic crystal,” Phys. Rev. Lett. 96(17), 173902 (2006).
[Crossref] [PubMed]

Schuetz, C. A.

Z. L. Lu, S. Y. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, “Experimental demonstration of self-collimation inside a three-dimensional photonic crystal,” Phys. Rev. Lett. 96(17), 173902 (2006).
[Crossref] [PubMed]

Schultz, S.

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[Crossref] [PubMed]

Shalaev, V. M.

Shelby, R. A.

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[Crossref] [PubMed]

Shen, W. D.

Sheng, P.

J. Li, L. Zhou, C. T. Chan, and P. Sheng, “Photonic band gap from a stack of positive and negative index materials,” Phys. Rev. Lett. 90(8), 083901 (2003).
[Crossref] [PubMed]

Shi, S. Y.

Z. L. Lu, S. Y. Shi, J. A. Murakowski, G. J. Schneider, C. A. Schuetz, and D. W. Prather, “Experimental demonstration of self-collimation inside a three-dimensional photonic crystal,” Phys. Rev. Lett. 96(17), 173902 (2006).
[Crossref] [PubMed]

B. L. Miao, C. H. Chen, S. Y. Shi, and D. W. Prather, “A high-efficiency in-plane splitting coupler for planar photonic crystal self-collimation devices,” IEEE Photon. Technol. Lett. 17(1), 61–63 (2005).
[Crossref]

Simovski, C. R.

P. A. Belov, C. R. Simovski, and P. Ikonen, “Canalization of subwavelength images by electromagnetic crystals,” Phys. Rev. B 71(19), 193105 (2005).
[Crossref]

Sivan, Y.

Smith, D. R.

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292(5514), 77–79 (2001).
[Crossref] [PubMed]

Soljacic, M.

R. E. Hamam, M. Ibanescu, S. G. Johnson, J. D. Joannopoulos, and M. Soljacić, “Broadband super-collimation in a hybrid photonic crystal structure,” Opt. Express 17(10), 8109–8118 (2009).
[Crossref] [PubMed]

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[Crossref] [PubMed]

Sotomayor Torres, C.

Stewart, W. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[Crossref]

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[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(9), 1212 (1999).
[Crossref]

Tandon, S.

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[Crossref] [PubMed]

Tayeb, G.

J. Zhang, H. Jiang, B. Gralak, S. Enoch, G. Tayeb, and M. Lequime, “Compensation of loss to approach −1 effective index by gain in metal-dielectric stacks,” Eur. Phys. J. Appl. Phys. 46(3), 32603 (2009).
[Crossref]

D. N. Chigrin, S. Enoch, C. Sotomayor Torres, and G. Tayeb, “Self-guiding in two-dimensional photonic crystals,” Opt. Express 11(10), 1203–1211 (2003).
[Crossref] [PubMed]

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(9), 1212 (1999).
[Crossref]

Vinogradov, A. P.

S. Zouhdi, A. V. Dorofeenko, A. M. Merzlikin, and A. P. Vinogradov, “Theory of zero-width band gap effect in photonic crystals made of metamaterials,” Phys. Rev. B 75(3), 035125 (2007).
[Crossref]

Wang, S. M.

Z. G. Dong, H. Liu, T. Li, Z. H. Zhu, S. M. Wang, J. X. Cao, S. N. Zhu, and X. Zhang, “Optical loss compensation in a bulk left-handed metamaterial by the gain in quantum dots,” Appl. Phys. Lett. 96(4), 044104 (2010).
[Crossref]

Webb, K. J.

K. J. Webb and M. C. Yang, “Generation and control of optical vortices using left-handed materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(1), 016601 (2006).
[Crossref] [PubMed]

Wu, B. L.

J. A. Kong, B. L. Wu, and Y. Zhang, “Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability,” Appl. Phys. Lett. 80(12), 2084 (2002).
[Crossref]

Xiao, S. M.

Yang, M. C.

K. J. Webb and M. C. Yang, “Generation and control of optical vortices using left-handed materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(1), 016601 (2006).
[Crossref] [PubMed]

Yao, P. J.

D. Y. Zhao, J. Zhang, P. J. Yao, X. Y. Jiang, and X. Y. Chen, “Photonic crystal Mach-Zehnder interferometer based on self-collimation,” Appl. Phys. Lett. 90(23), 231114 (2007).
[Crossref]

Youngs, I.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely low frequency plasmons in metallic mesostructures,” Phys. Rev. Lett. 76(25), 4773–4776 (1996).
[Crossref] [PubMed]

Yu, X. F.

X. F. Yu and S. H. Fan, “Bends and splitters for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 83(16), 3251 (2003).
[Crossref]

Zhang, J.

J. Zhang, H. Jiang, B. Gralak, S. Enoch, G. Tayeb, and M. Lequime, “Compensation of loss to approach −1 effective index by gain in metal-dielectric stacks,” Eur. Phys. J. Appl. Phys. 46(3), 32603 (2009).
[Crossref]

D. Y. Zhao, J. Zhang, P. J. Yao, X. Y. Jiang, and X. Y. Chen, “Photonic crystal Mach-Zehnder interferometer based on self-collimation,” Appl. Phys. Lett. 90(23), 231114 (2007).
[Crossref]

Zhang, J. L.

Zhang, X.

Z. G. Dong, H. Liu, T. Li, Z. H. Zhu, S. M. Wang, J. X. Cao, S. N. Zhu, and X. Zhang, “Optical loss compensation in a bulk left-handed metamaterial by the gain in quantum dots,” Appl. Phys. Lett. 96(4), 044104 (2010).
[Crossref]

Zhang, Y.

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Firsov, I. Y. Khrushchev, and J. Petrovic, “Nanofabricated media with negative permeability at visible frequencies,” Nature 438(7066), 335–338 (2005).
[Crossref] [PubMed]

J. A. Kong, B. L. Wu, and Y. Zhang, “Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability,” Appl. Phys. Lett. 80(12), 2084 (2002).
[Crossref]

Zhang, Y. W.

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, “Properties of one-dimensional photonic crystals containing single-negative materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6), 066607 (2004).
[Crossref] [PubMed]

Zhao, D. Y.

D. Y. Zhao, J. Zhang, P. J. Yao, X. Y. Jiang, and X. Y. Chen, “Photonic crystal Mach-Zehnder interferometer based on self-collimation,” Appl. Phys. Lett. 90(23), 231114 (2007).
[Crossref]

Zhou, L.

J. Li, L. Zhou, C. T. Chan, and P. Sheng, “Photonic band gap from a stack of positive and negative index materials,” Phys. Rev. Lett. 90(8), 083901 (2003).
[Crossref] [PubMed]

Zhu, S. N.

Z. G. Dong, H. Liu, T. Li, Z. H. Zhu, S. M. Wang, J. X. Cao, S. N. Zhu, and X. Zhang, “Optical loss compensation in a bulk left-handed metamaterial by the gain in quantum dots,” Appl. Phys. Lett. 96(4), 044104 (2010).
[Crossref]

Zhu, S. Y.

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, “Properties of one-dimensional photonic crystals containing single-negative materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6), 066607 (2004).
[Crossref] [PubMed]

Zhu, Z. H.

Z. G. Dong, H. Liu, T. Li, Z. H. Zhu, S. M. Wang, J. X. Cao, S. N. Zhu, and X. Zhang, “Optical loss compensation in a bulk left-handed metamaterial by the gain in quantum dots,” Appl. Phys. Lett. 96(4), 044104 (2010).
[Crossref]

Zi, J.

H. T. Jiang, H. Chen, H. Q. Li, Y. W. Zhang, J. Zi, and S. Y. Zhu, “Properties of one-dimensional photonic crystals containing single-negative materials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69(6), 066607 (2004).
[Crossref] [PubMed]

Zouhdi, S.

S. Zouhdi, A. V. Dorofeenko, A. M. Merzlikin, and A. P. Vinogradov, “Theory of zero-width band gap effect in photonic crystals made of metamaterials,” Phys. Rev. B 75(3), 035125 (2007).
[Crossref]

Appl. Phys. Lett. (6)

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(9), 1212 (1999).
[Crossref]

X. F. Yu and S. H. Fan, “Bends and splitters for self-collimated beams in photonic crystals,” Appl. Phys. Lett. 83(16), 3251 (2003).
[Crossref]

M.-W. Kim, S.-G. Lee, T.-T. Kim, J.-E. Kim, H. Y. Park, and C.-S. Kee, “Experimental demonstration of bending and splitting of self-collimated beams in two-dimensional photonic crystals,” Appl. Phys. Lett. 90(11), 113121 (2007).
[Crossref]

D. Y. Zhao, J. Zhang, P. J. Yao, X. Y. Jiang, and X. Y. Chen, “Photonic crystal Mach-Zehnder interferometer based on self-collimation,” Appl. Phys. Lett. 90(23), 231114 (2007).
[Crossref]

J. A. Kong, B. L. Wu, and Y. Zhang, “Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability,” Appl. Phys. Lett. 80(12), 2084 (2002).
[Crossref]

Z. G. Dong, H. Liu, T. Li, Z. H. Zhu, S. M. Wang, J. X. Cao, S. N. Zhu, and X. Zhang, “Optical loss compensation in a bulk left-handed metamaterial by the gain in quantum dots,” Appl. Phys. Lett. 96(4), 044104 (2010).
[Crossref]

Eur. Phys. J. Appl. Phys. (1)

J. Zhang, H. Jiang, B. Gralak, S. Enoch, G. Tayeb, and M. Lequime, “Compensation of loss to approach −1 effective index by gain in metal-dielectric stacks,” Eur. Phys. J. Appl. Phys. 46(3), 32603 (2009).
[Crossref]

IEEE Photon. Technol. Lett. (1)

B. L. Miao, C. H. Chen, S. Y. Shi, and D. W. Prather, “A high-efficiency in-plane splitting coupler for planar photonic crystal self-collimation devices,” IEEE Photon. Technol. Lett. 17(1), 61–63 (2005).
[Crossref]

IEEE Trans. Antenn. Propag. (2)

A. Alu and N. Engheta, “Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency,” IEEE Trans. Antenn. Propag. 51(10), 2558–2571 (2003).
[Crossref]

C. M. Rappaport and B. J. McCartin, “FDFD analysis of electromagnetic scattering in anisotropic media using unconstrained triangular meshes,” IEEE Trans. Antenn. Propag. 39(3), 345–349 (1991).
[Crossref]

IEEE Trans. Microw. Theory Tech. (1)

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech. 47(11), 2075–2084 (1999).
[Crossref]

J. Opt. Soc. Am. B (1)

Nat. Mater. (1)

P. T. Rakich, M. S. Dahlem, S. Tandon, M. Ibanescu, M. Soljacić, G. S. Petrich, J. D. Joannopoulos, L. A. Kolodziejski, and E. P. Ippen, “Achieving centimetre-scale supercollimation in a large-area two-dimensional photonic crystal,” Nat. Mater. 5(2), 93–96 (2006).
[Crossref] [PubMed]

Nature (1)

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Phys. Rev. E Stat. Nonlin. Soft Matter Phys. (2)

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Figures (5)

Fig. 1
Fig. 1

Profile of the real part of the Poynting vector and | E y | 2 in a (a) MNG/ENG PC at conjugated parameters and (b) a DNG ( ε = μ = 1 ) /air PC for a TE plane wave of 500 THz at an incident angle of 30 degree. (c) Profile of Poynting vector and | E y | 2 in the same structure used in (a) for a Gaussian beam whose width is 660 nm. The distance between beam source and structure is 100 nm. The lattice constant in each PC is 312 nm and the thicknesses of the two media in a period are identical.

Fig. 2
Fig. 2

The EFCs of a MNG/ENG PC in which d 1 = d 2 = 50 nm when the frequency varies from 350 to 550 THz. The EFC at 500 THz is completely flat. Away from 500 THz, the EFCs will gradually deviate from flatness and those below 500 THz change much more slowly than those above 500 THz.

Fig. 3
Fig. 3

(a) A structure with two slits in which d 1 = d 2 = 12 nm and the width of slit is 60 nm that is one tenth of the incident wavelength. Black strips denote metals. The distance between the centers of the two slits is 180 nm and the distance between the metal and MNG/ENG PC is 2 nm. The Gaussian beam source with 2g = 360 nm is 40 nm away from the metal plate. The distributions of square of electrical field show that two narrow beams are well separated and collimated in the structure (b) while extended and mixed in air (c).

Fig. 4
Fig. 4

Distributions of square of electrical fields in different PCs impinged by a Gaussian beam. g = 600 nm in (a)-(d) and g = 120 nm in (e) and (f), respectively. Total length of each PC is 5360 nm. Left column with (a), (b) and (e): MNG/ENG PCs. (a) lattice constant is 536 nm. g = 600 nm. The inset is the top view. (b) lattice constant is 67 nm. g = 600 nm. (e) lattice constant is 536 nm. g = 120 nm. Right column with (c), (d) and (f): DNG ( ε = μ = 1 ) /air PCs. (c) lattice constant is 536 nm. g = 600 nm. (d) lattice constant is 67 nm. g = 600 nm. (f) lattice constant is 536 nm. g = 120 nm. The thicknesses of the two media in a period are identical.

Fig. 5
Fig. 5

The distributions of square of electrical fields in the PC used in Fig. 4(a) except that in (a) μ 1 = 0.965 + 0.002 i , ε 2 = 1.035 + 0.002 i , and in (b) ε 1 = μ 2 = 1 0.002 i , ε 2 = μ 1 = 1 + 0.002 i , respectively.

Equations (5)

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

μ 1 = μ a α 2 ( 2 π f ) 2 ,     ε 1 = ε a ,
  μ 2 = μ b ,    ε 2 = ε b β 2 ( 2 π f ) 2 ,
cos ( K z d ) = cos ( γ 1 d 1 ) cos ( γ 2 d 2 ) γ 1 2 μ 2 2 + γ 2 2 μ 1 2 2 γ 1 γ 2 μ 1 μ 2 sin ( γ 1 d 1 ) sin ( γ 2 d 2 ) ,
E y = exp i ( k x x + k 0 z z ) ψ ( k x ) d k x ,
ψ ( k x ) = g 2 π exp { [ g 2 k x 2 / 4 ] } ,

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