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Negative Refraction in Photonic Crystals

Published online by Cambridge University Press:  31 January 2011

Toshihiko Baba ,
Tomohiko Asatsuma  and
Takashi Matsumoto
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Abstract

Photonic crystals are multidimensional periodic gratings, in which the light propagation is dominated by Bragg diffraction that appears to be refraction at the flat surfaces of the crystals. The refraction angle from positive to negative, perfectly or only partially obeying Snell's law, can be tailored based on photonic band theory. Negative refraction enables novel prism, collimation, and lens effects. Because photonic crystals usually consist of two transparent media, these effects occur at absorption-free frequencies, affording significant design flexibility for free-space optics. The photonic-crystal slab, a high-index membrane with a two-dimensional airhole array, must be carefully designed to avoid unwanted reflection and diffraction. Light focusing based on negative refraction forms a parallel image of a light source, facilitating optical couplers and condenser lenses for wavelength demultiplexing. A compact wavelength demultiplexer can be designed by combining the prism and lens effects.

Type
Research Article
Information
MRS Bulletin , Volume 33 , Issue 10: Negative-Index Materials , October 2008 , pp. 927 - 930
Copyright
Copyright © Materials Research Society 2008

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References

1.Russell, P.St.J., Birks, T.A., Photonic Band Gap Materials, Soukoulis, C.M., Ed. (Kluwer, Dordrecht, The Netherlands, 1996), p. 71.CrossRefGoogle Scholar
2.Kosaka, H., Kawashima, T., Tomita, A., Notomi, M., Tamamura, T., Sato, T., Kawakami, S., Phys. Rev. B 58, 10096 (1998).CrossRefGoogle Scholar
3.Kosaka, H., Kawashima, T., Tomita, A., Notomi, M., Tamamura, T., Sato, T., Kawakami, S., Appl. Phys. Lett. 74, 1212 (1999).CrossRefGoogle Scholar
4.Notomi, M., Phys. Rev. B 62, 10696 (2000).CrossRefGoogle Scholar
5.Kosaka, H., Kawashima, T., Tomita, A., Notomi, M., Tamamura, T., Sato, T., Kawakami, S., Appl. Phys. Lett. 74, 1370 (1999).CrossRefGoogle Scholar
6.Baba, T., Nakamura, M., IEEE J. Quantum Electron. 38, 909 (2002).CrossRefGoogle Scholar
7.Wu, L., Mazilu, M., Karle, T., Krauss, T.F., IEEE. J. Quantum Electron. 38, 915 (2002).CrossRefGoogle Scholar
8.Chung, K.B., Hong, S.W., Appl. Phys. Lett. 81, 1549 (2002).CrossRefGoogle Scholar
9.Baba, T., Matsumoto, T., Appl. Phys. Lett. 81, 2325 (2002).CrossRefGoogle Scholar
10.Luo, C., Johnson, S.G., Joannopoulos, J.D., Phys. Rev. B 65, 201104 (2002).CrossRefGoogle Scholar
11.Prasad, T., Colvin, V., Mittleman, D., Phys Rev. B 67, 165103 (2003).CrossRefGoogle Scholar
12.Wu, L., Mazilu, M., Gallet, J.-F., Krauss, T.F., Jugessur, A., De La Rue, R.M., Opt. Lett. 29, 1620 (2004).CrossRefGoogle Scholar
13.Cubukcu, E., Aydin, K., Ozbay, E., Phys. Rev. Lett. 91, 207401 (2004).CrossRefGoogle Scholar
14.Berrier, A., Mulot, M., Swillo, M., Qiu, M., Thylén, L., Talneau, A., Anand, S., Phys. Rev. Lett. 93, 073920 (2004).CrossRefGoogle Scholar
15.Lu, Z., Chen, C., Schuetz, C.A., Shi, S., Murakowski, J.A., Schneider, G.J., Prather, D.W., Appl. Phys. Lett. 87, 091907 (2005).CrossRefGoogle Scholar
16.Matsumoto, T., Fujita, S., Baba, T., Opt. Express 13, 10768 (2005); available at http://www.opticsinfobase.org/abstract.cfm?URI=oe-13–26–10768.CrossRefGoogle Scholar
17.Matsumoto, T., Eom, K., Baba, T., Opt. Lett. 31, 2776 (2006).Google Scholar
18.Momeni, B., Huang, J., Soltani, M., Askari, M., Mohammadi, S., Rakhshandehroo, M., Adibi, A., Opt. Express 14, 2413 (2006); available at http://www.opticsinfobase.org/abstract.cfm?URI=oe-14–6–2413.CrossRefGoogle Scholar
19.Matsumoto, T., Asatsuma, T., Baba, T., Appl. Phys. Lett. 91, 091117 (2007).CrossRefGoogle Scholar
20.Baba, T., Ohsaki, D., Jpn. J. Appl. Phys. 40, 5920 (2001).CrossRefGoogle Scholar
21.Baba, T., Matsumoto, T., Echizen, M., Opt. Express 12, 4608 (2004); available at http://www.opticsinfobase.org/abstract.cfm? URI=oe-12–19–4608.CrossRefGoogle Scholar
22.Momeni, B., Adibi, A., Appl. Phys. Lett. 87, 171104 (2005).CrossRefGoogle Scholar
23.Asatsuma, T., Baba, T., Opt. Express 16, 8711 (2008); available at http://www.opticsinfobase.org/abstract.cfm?URI=oe-16–12–8711.CrossRefGoogle Scholar