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Part of the book series: NATO Science Series ((ASIC,volume 563))

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Abstract

Photonic crystals (PCs) are artificial dielectric media periodically microstructured in one, two or three spatial directions. The last decade of research efforts demonstrates that PCs are systems of strong scientific as well as industrial importance [1, 2, 3, 4]. The possibility to alter drastically the dispersion relation of photons is inherent to them. Three-dimensional (3D) PCs can exhibit energy gaps of zero density of photon states, i.e., full 3D photonic band gaps (PBGs). The control of the spontaneous emission should be possible in such periodic media [5, 6, 7]. At the same time, allowed bands of PCs display strong dispersion and spatial anisotropy, which lead to a number of new optical properties otherwise inconceivable in conventional crystals [8, 9, 10]. The strong dispersion and anisotropy of allowed bands are characteristic of any periodic structures even with a rather small refractive index contrast. This is a main difference with respect to a full PBG structure, which requires a special topology of a 3D dielectric lattice, as well as a considerably large refractive index contrast of constituents.

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References

  1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic crystals: molding the flow of light (Princeton University Press, Princeton NJ, 1995).

    MATH  Google Scholar 

  2. Confined electron and Photon: New physics and Applications, E. Burstein and C. Weisbuch, eds., (Plenum Press, New York, 1995).

    Google Scholar 

  3. Photonic Band Gap Materials, C. Soukoulis, ed., (Kluwer Academic, Dordrecht, 1996).

    Google Scholar 

  4. Special issue on Electromagnetic crystal structures, design, synthesis, and applications, A. Scherer, T. Doll, E. Yablonovitch, H. Everitt, and J. Higgins, eds., J. Lightwave Tech. 17, 1928–2207 (1999).

    Google Scholar 

  5. V. Bykov, “Spontaneous emission in a periodic structure,” Soviet Physics — JETP 35, 269–273 (1972).

    ADS  Google Scholar 

  6. E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059 (1987).

    Article  ADS  Google Scholar 

  7. S. John, “Strong localization of photons in certain disordered dielectric superlatatices, #x201D; Phys. Rev. Lett. 58, 2486–2489 (1987).

    Article  ADS  Google Scholar 

  8. P. Russell, “Optics of Floquet-Block waves in dielectric gratings,” Appl. Phys. B: Photophysics & Laser Chemistry B39, 231–246 (1986).

    Article  ADS  Google Scholar 

  9. R. Zengerle, “Light propagation in singly and doubly periodic planar waveguides,” J. Mod. Optics 34, 1589–1617 (1987).

    Article  ADS  Google Scholar 

  10. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, “Superprism phenomena in photonic crystals: toward microscale lightwave circuits,” J. Lightwave Tech. 17, 2032–2038 (1999).

    Article  ADS  Google Scholar 

  11. H. Macleod, Thin-Film Optical Filters (Adam Hilger, Bristol, 1986).

    Book  Google Scholar 

  12. P. Yeh, Optical Waves in Layered Media (John Wiley and Sons, New York, 1988).

    Google Scholar 

  13. Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and E.L. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679 (1998).

    Article  ADS  Google Scholar 

  14. D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, “Observation of total omnidirectional reflection from a one-dimensional dielectric lattice,” Appl. Phys. A: Materials Science and Processing 68, 25–28 (1999).

    Article  ADS  Google Scholar 

  15. P. S. J. Russell, S. Tredwell, and P. J. Roberts, “Full photonic bandgaps and spontaneous emission control in 1D multilayer dielectric structures,” Opt. Commun. 160, 66–71 (1999).

    Article  ADS  Google Scholar 

  16. D. N. Chigrin, A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, “All-dielectric one-dimensional periodic structures for total omnidirectional reflection and partial spontaneous emission contro,” J. Lightwave Tech. 17, 2018–2024 (1999).

    Article  ADS  Google Scholar 

  17. P. Russell, T. Birks, and F. Lloyd-Lucas, “Photonic Bloch waves and photonic band gaps,” in Ref. [2], pp. 585–633.

    Google Scholar 

  18. J. A. E. Wasey and W. L. Barnes, “Efficiency of spontaneous emission from planar microcavities,” J. Mod. Optics 47, 725–741 (2000).

    ADS  Google Scholar 

  19. Y. Fink, D. J. Ripin, S. Fan, C. Chen, J. D. Joannopoulos, and E. L. Thomas, “Guiding optical light in air using an all-dielectric structure,” J. Lightwave Tech. 17, 2039–2041 (1999).

    Article  ADS  Google Scholar 

  20. J. Wolfe, Imaging Phonons: Acoustic Wave Propagation in Solid (Cambridge University Press, Cambridge, 1998).

    Book  Google Scholar 

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© 2001 Springer Science+Business Media Dordrecht

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Chigrin, D.N., Sotomayor Torres, C.M. (2001). One-Dimensional Periodic Structures under a New Light. In: Soukoulis, C.M. (eds) Photonic Crystals and Light Localization in the 21st Century. NATO Science Series, vol 563. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0738-2_13

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  • DOI: https://doi.org/10.1007/978-94-010-0738-2_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6948-6

  • Online ISBN: 978-94-010-0738-2

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