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Manipulation of photons at the surface of three-dimensional photonic crystals

Abstract

In three-dimensional (3D) photonic crystals1,2,3,4,5,6,7,8,9,10,11,12, refractive-index variations with a periodicity comparable to the wavelength of the light passing through the crystal give rise to so-called photonic bandgaps, which are analogous to electronic bandgaps for electrons moving in the periodic electrostatic potential of a material’s crystal structure. Such 3D photonic bandgap crystals are envisioned to become fundamental building blocks for the control and manipulation of photons in optical circuits. So far, such schemes have been pursued by embedding artificial defects3,4,5,8,9,10,11,12 and light emitters4,5,6,7,8,9 inside the crystals, making use of 3D bandgap directional effects. Here we show experimentally that photons can be controlled and manipulated even at the ‘surface’ of 3D photonic crystals, where 3D periodicity is terminated, establishing a new and versatile route for photon manipulation. By making use of an evanescent-mode coupling technique, we demonstrate that 3D photonic crystals possess two-dimensional surface states, and we map their band structure. We show that photons can be confined and propagate through these two-dimensional surface states, and we realize their localization at arbitrary surface points by designing artificial surface-defect structures through the formation of a surface-mode gap. Surprisingly, the quality factors of the surface-defect mode are the largest reported for 3D photonic crystal nanocavities (Q up to 9,000). In addition to providing a new approach for photon manipulation by photonic crystals, our findings are relevant for the generation and control of plasmon-polaritons in metals and the related surface photon physics. The absorption-free nature of the 3D photonic crystal surface may enable new sensing applications and provide routes for the realization of efficient light–matter interactions.

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Figure 1: 3D photonic crystal and band structures.
Figure 2: Experimental demonstrations of the surface states of 3D photonic crystals.
Figure 3: Formation of a surface-mode gap by modification of the surface structure.
Figure 4: Artificial surface-defect structure and its characteristics.

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References

  1. Yablonovitch, E. Inhibited spontaneous emission in solid-state physics and electronics. Phys. Rev. Lett. 58, 2059–2062 (1987)

    Article  ADS  CAS  Google Scholar 

  2. John, S. Strong localization of photons in certain disordered dielectric superlattices. Phys. Rev. Lett. 58, 2486–2489 (1987)

    Article  ADS  CAS  Google Scholar 

  3. Noda, S., Tomoda, K., Yamamoto, N. & Chutinan, A. Full three-dimensional photonic bandgap crystals at near-infrared wavelengths. Science 289, 604–606 (2000)

    Article  ADS  CAS  Google Scholar 

  4. Noda, S., Fujita, M. & Asano, T. Spontaneous-emission control by photonic crystals and nanocavities. Nature Photon. 1, 449–458 (2007)

    Article  ADS  CAS  Google Scholar 

  5. Ogawa, S., Imada, M., Yoshimoto, S., Okano, M. & Noda, S. Control of light emission by 3D photonic crystals. Science 305, 227–229 (2004)

    Article  ADS  CAS  Google Scholar 

  6. Lodahl, P. et al. Controlling the dynamics of spontaneous emission from quantum dots by photonic crystals. Nature 430, 654–657 (2004)

    Article  ADS  CAS  Google Scholar 

  7. Li, J., Jia, B., Zhou, G. & Gu, M. Direction-dependent spontaneous emission from near-infrared quantum dots at the angular band edges of a three-dimensional photonic crystal. Appl. Phys. Lett. 91, 254101 (2007)

    Article  ADS  Google Scholar 

  8. Ogawa, S., Ishizaki, K., Furukawa, T. & Noda, S. Spontaneous emission control by 17 layers of three-dimensional photonic crystals. Electron. Lett. 44, 377–378 (2008)

    Article  CAS  Google Scholar 

  9. Aoki, K. et al. Coupling of quantum-dot light emission with a three-dimensional photonic-crystal nanocavity. Nature Photon. 2, 688–692 (2008)

    Article  ADS  CAS  Google Scholar 

  10. Qi, M. et al. A three-dimensional optical photonic crystal with designed point defects. Nature 429, 538–542 (2004)

    Article  ADS  CAS  Google Scholar 

  11. Rinne, S. A., García-Santamaría, F. & Braun, P. V. Embedded cavities and waveguides in three-dimensional silicon photonic crystals. Nature Photon. 2, 52–56 (2008)

    Article  ADS  CAS  Google Scholar 

  12. Imada, M., Lee, L. H., Okano, M., Kawashima, S. & Noda, S. Development of three-dimensional photonic-crystal waveguides at optical-communication wavelengths. Appl. Phys. Lett. 88, 171107 (2006)

    Article  ADS  Google Scholar 

  13. Meade, R. D., Brommer, K. D., Rappe, A. M. & Joannopoulos, J. D. Electromagnetic Bloch waves at the surface of a photonic crystal. Phys. Rev. B 44, 10961–10964 (1991)

    Article  ADS  CAS  Google Scholar 

  14. Ho, K. M., Chan, C. T., Soukoulis, C. M., Biswas, R. & Sigalas, M. Photonic band gaps in three dimensions: new layer-by-layer periodic structures. Solid State Commun. 89, 413–416 (1994)

    Article  ADS  CAS  Google Scholar 

  15. Sözüer, H. S. & Dowling, J. P. Photonic band calculations for woodpile structures. J. Mod. Opt. 41, 231–239 (1994)

    Article  ADS  Google Scholar 

  16. Yamamoto, N., Noda, S. & Chutinan, A. Development of one period of a three-dimensional photonic crystal in the 5–10 μm wavelength region by wafer fusion and laser beam diffraction pattern observation techniques. Jpn. J. Appl. Phys. 37, L1052–L1054 (1998)

    Article  ADS  CAS  Google Scholar 

  17. Kawashima, S., Imada, M., Ishizaki, K. & Noda, S. High-precision alignment and bonding system for the fabrication of 3-D nanostructures. J. Microelectromech. Syst. 16, 1140–1144 (2007)

    Article  Google Scholar 

  18. Astratov, V. N. et al. Photonic band-structure effects in the reflectivity of periodically patterned waveguides. Phys. Rev. B 60, R16255–R16258 (1999)

    Article  ADS  CAS  Google Scholar 

  19. Coquillat, D. et al. Equifrequency surfaces in a two-dimensional GaN-based photonic crstal. Opt. Express 12, 1097–1108 (2004)

    Article  ADS  CAS  Google Scholar 

  20. Paraire, N. & Banachour, Y. Investigation of planar photonic crystal band diagrams under the light cone using surface coupling techniques. Appl. Phys. B 89, 245–250 (2007)

    Article  ADS  CAS  Google Scholar 

  21. Otto, A. Excitation of nonradiative surface plasma waves in silver by the method of frustrated total reflection. Z. Phys. 216, 398–410 (1968)

    Article  ADS  CAS  Google Scholar 

  22. Kretschmann, E. & Raether, H. Radiative decay of nonradiative surface plasmons excited by light. Z. Naturforsch. 23a, 2135–2136 (1968)

    ADS  Google Scholar 

  23. Tien, P. K., Ulrich, R. & Martin, R. J. Modes of propagating light waves in thin deposited semiconductor films. Appl. Phys. Lett. 14, 291–294 (1969)

    Article  ADS  Google Scholar 

  24. Galli, M. et al. Excitation of radiative and evanescent defect modes in linear photonic crystal waveguides. Phys. Rev. B 70, 081307 (2004)

    Article  ADS  Google Scholar 

  25. Yee, K. S. Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media. IEEE Trans. Antenn. Propag. 14, 302–307 (1966)

    Article  ADS  Google Scholar 

  26. Mur, G. Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations. IEEE Trans. Electromagn. Compat. 23, 377–382 (1981)

    Article  Google Scholar 

  27. Berenger, J. P. A perfectly matched layer for the absorption of electromagnetic waves. J. Comput. Phys. 114, 185–200 (1994)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Acknowledgements

We thank Q. Sun for assistance with the experiment and numerical analysis, and S. Kawashima, S. Takahashi, Y. Tanaka, T. Asano and M. Fujita for discussions and advice. This work was supported in part by the Global Centre of Excellence for Education and Research on Photonics and Electronics Science and Engineering of Kyoto University, Japan, and by Grants-in-Aid for Scientific Research of the Ministry of Education, Culture, Sports, Science and Technology of Japan, and the Japan Society for the Promotion of Science (JSPS). K.I. acknowledges support from a Research Fellowship of the JSPS.

Author Contributions S.N. planned and organized the project; K.I. conducted the calculations, fabrications and measurements; S.N. and K.I. discussed the results and wrote the manuscript.

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Correspondence to Susumu Noda.

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Ishizaki, K., Noda, S. Manipulation of photons at the surface of three-dimensional photonic crystals. Nature 460, 367–370 (2009). https://doi.org/10.1038/nature08190

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