Abstract

Different from previous focusing on subwavelength imaging in the near field, we outline another potentially useful application of the self-collimating photonic crystal -- low-pass spatial filtering. A two-dimensional square-lattice photonic crystal is taken as an example and the low-pass spatial filtering is demonstrated by the dispersion analysis and numerical simulations. The high-spatial-frequency components, whose incident angles exceed a critical value, are reflected totally because no Bloch modes of the photonic crystal can be excited. However, the low-spatial-frequency components are coupled to the self-collimating modes and permeate the photonic crystal with high transmissivity.

© 2007 Chinese Optics Letters

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L.-S. Chen, C.-H. Kuo, and Z. Ye, Phys. Rev. E 69, 066612 (2004).

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1951

V. Twersky, J. Acoust. Soc. Am. 24, 42 (1951).

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H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).

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V. Twersky, J. Acoust. Soc. Am. 24, 42 (1951).

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V. Twersky, J. Math. Phys. 3, 700 (1962).

J. Opt. Soc. Am. A

Nature

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, Nature 423, 604 (2003).

P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, Nature 426, 404 (2003).

Opt. Express

Opt. Lett.

Phys. Rev. B

L.-M. Li and Z.-Q. Zhang, Phys. Rev. B 58, 9587 (1998).

Z. Tang, H. Zhang, R. Peng, Y. Ye, L. Shen, S. Wen, and D. Fan, Phys. Rev. B 73, 235103 (2006).

C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104 (2002).

R. Moussa, S. Foteinopoulou, L. Zhang, G. Tuttle, K. Guven, E. Ozbay, and C. M. Soukoulis, Phys. Rev. B 71, 085106 (2005).

S. Foteinopoulou and C. M. Soukoulis, Phys. Rev. B 67, 235107 (2003).

H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, 10096 (1998).

M. Notomi, Phys. Rev. B 62, 10696 (2000).

H.-T. Chien, H.-T. Tang, C.-H. Kuo, C.-C. Chen, and Z. Ye, Phys. Rev. B 70, 113101 (2004).

Phys. Rev. E

L.-S. Chen, C.-H. Kuo, and Z. Ye, Phys. Rev. E 69, 066612 (2004).

C.-H. Kuo and Z. Ye, Phys. Rev. E 70, 026608 (2004).

Phys. Rev. Lett.

E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopolou, and C. M. Soukoulis, Phys. Rev. Lett. 91, 207401 (2003).

E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).

S. John, Phys. Rev. Lett. 58, 2486 (1987).

Sov. Phys. Usp.

V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).

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