Abstract

We present a study on negative refractions in the four lowest bands of two-dimensional (2D) square lattices formed by holographic lithography (HL) and compare these features with those of a lattice of the same kind but with regular dielectric columns. The plane wave calculations and FDTD simulations have shown that in some bands or for some interfaces the negative refraction can only happen in holographic structures, and generally the rightness of holographic structures and regular structures of the same kind may be different.

© 2007 Optical Society of America

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  1. V. G. Veselago, "Electrodynamics of substances with simultaneously negative electrical and magnetic permeabilities," Usp. Fiz. Nauk 92, 517-526 (1967).
  2. R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
    [CrossRef]
  3. J. B. Pendry, A. J. Holden, D. J. Robbins, W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans Microwave Theory Tech 47, 2075-2084 (1999).
  4. 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, 083901-083904 (2003).
    [CrossRef]
  5. L. Chen, S. L. He, L. F. Shen, "Finite-size effects of a left-handed material Slab on the image quality," Phys. Rev. Lett. 92, 107404-1-4 (2004).
  6. M. Notomi, "Theory of light propagation in strong modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap," Phys. Rev. B. 62, 10696-10705 (2000).
    [CrossRef]
  7. 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]
  8. E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Negative refraction by photonic crystals," Nature 423, 604-605 (2003).
    [CrossRef]
  9. R. Gajic, F. Kuchar, R. Meisels, J. Radovanovic, K. Hingerl, J. Zarbakhsh, J. Stampfl, and A. Woesz, "Physical and materials aspects of photonic crystals for microwaves and millimetre waves," Z. Metallkd. 95, 618-623 (2004).
  10. 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, 205125-1-5 (2004).
  11. P. V. Parimi, W. T. Lu, P. Vodo, J. Sokoloff, J. S. Derov, and S. Sridhar, "Negative refraction and lefthanded electromagnetism in microwave photonic crystals," Phys. Rev. Lett. 92, 127401-1-4 (2004).
  12. S. Foteinopoulou1 and C. M. Soukoulis "Electromagnetic wave propagation in two-dimensional photonic crystals: A study of anomalous refractive effects," Phys. Rev. B. 72, 165112-1-20 (2005).
  13. R. Gajiæ, R. Meisels, F. Kuchar, and K. Hingerl, "Refraction and rightness in photonic crystals," Opt. Express 13, 8596-8605 (2005).
  14. 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]
  15. X. Y. Ao and S. L. He, "Three-dimensional photonic crystal of negative refraction achieved by interference lithography," Opt. Lett. 29, 2542-2544 (2004).
    [CrossRef]
  16. L. Z. Cai, G. Y. Dong, C. S. Feng, X. L. Yang, X. X. Shen, and X. F. Meng, "Holographic design of a two-dimensional photonic crystal of square lattice with a large two-dimensional complete bandgap" J. Opt. Soc. Am. B 23, 1708-1711 (2006).
    [CrossRef]
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    [CrossRef]
  18. 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]
  19. M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, "Fabrication of photonic crystals for the visible spectrum by holographic lithography," Nature 404, 53-56 (2000).

2006 (1)

2005 (2)

2004 (2)

X. Y. Ao and S. L. He, "Three-dimensional photonic crystal of negative refraction achieved by interference lithography," Opt. Lett. 29, 2542-2544 (2004).
[CrossRef]

R. Gajic, F. Kuchar, R. Meisels, J. Radovanovic, K. Hingerl, J. Zarbakhsh, J. Stampfl, and A. Woesz, "Physical and materials aspects of photonic crystals for microwaves and millimetre waves," Z. Metallkd. 95, 618-623 (2004).

2003 (2)

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Negative refraction by photonic crystals," Nature 423, 604-605 (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, 083901-083904 (2003).
[CrossRef]

2001 (1)

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

2000 (2)

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

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, "Fabrication of photonic crystals for the visible spectrum by holographic lithography," Nature 404, 53-56 (2000).

1999 (1)

J. B. Pendry, A. J. Holden, D. J. Robbins, W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans Microwave Theory Tech 47, 2075-2084 (1999).

1998 (1)

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]

1991 (1)

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]

1990 (1)

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]

1967 (1)

V. G. Veselago, "Electrodynamics of substances with simultaneously negative electrical and magnetic permeabilities," Usp. Fiz. Nauk 92, 517-526 (1967).

IEEE Trans Microwave Theory Tech (1)

J. B. Pendry, A. J. Holden, D. J. Robbins, W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans Microwave Theory Tech 47, 2075-2084 (1999).

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

Nature (2)

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Negative refraction by photonic crystals," Nature 423, 604-605 (2003).
[CrossRef]

M. Campbell, D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Turberfield, "Fabrication of photonic crystals for the visible spectrum by holographic lithography," Nature 404, 53-56 (2000).

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. B (1)

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. B. (1)

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

Phys. Rev. Lett. (3)

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]

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]

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, 083901-083904 (2003).
[CrossRef]

Science (1)

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

Usp. Fiz. Nauk (1)

V. G. Veselago, "Electrodynamics of substances with simultaneously negative electrical and magnetic permeabilities," Usp. Fiz. Nauk 92, 517-526 (1967).

Z. Metallkd. (1)

R. Gajic, F. Kuchar, R. Meisels, J. Radovanovic, K. Hingerl, J. Zarbakhsh, J. Stampfl, and A. Woesz, "Physical and materials aspects of photonic crystals for microwaves and millimetre waves," Z. Metallkd. 95, 618-623 (2004).

Other (4)

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, 205125-1-5 (2004).

P. V. Parimi, W. T. Lu, P. Vodo, J. Sokoloff, J. S. Derov, and S. Sridhar, "Negative refraction and lefthanded electromagnetism in microwave photonic crystals," Phys. Rev. Lett. 92, 127401-1-4 (2004).

S. Foteinopoulou1 and C. M. Soukoulis "Electromagnetic wave propagation in two-dimensional photonic crystals: A study of anomalous refractive effects," Phys. Rev. B. 72, 165112-1-20 (2005).

L. Chen, S. L. He, L. F. Shen, "Finite-size effects of a left-handed material Slab on the image quality," Phys. Rev. Lett. 92, 107404-1-4 (2004).

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