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  • Review Article
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Optics of photonic quasicrystals

Nature Photonics volume 7, pages 177–187 (2013)Cite this article

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Abstract

The physics of periodic systems are of fundamental importance and result in various phenomena that govern wave transport and interference. However, deviations from periodicity may result in higher complexity and give rise to a number of surprising effects. One such deviation can be found in the field of optics in the realization of photonic quasicrystals, a class of structures made from building blocks that are arranged using well-designed patterns but lack translational symmetry. Nevertheless, these structures, which lie between periodic and disordered structures, still show sharp diffraction patterns that confirm the existence of wave interference resulting from their long-range order. In this Review, we discuss the beautiful physics unravelled in photonic quasicrystals of one, two and three dimensions, and describe how they can influence optical transmission and reflectivity, photoluminescence, light transport, plasmonics and laser action.

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Figure 1: Non-resonant 1D Fibonacci quasicrystalline structure.
Figure 2: Resonant 1D Fibonacci quasicrystalline structure.
Figure 3: 3D photonic quasicrystal and its transmission properties.
Figure 4: Disorder-enhanced transport and localization in 2D photonic quasicrystals.
Figure 5: Transmission properties of SPP-based quasiperiodic plasmonic hole arrays.
Figure 6: Optical scattering properties of localized surface plasmon-based quasicrystal plasmonic structures.
Figure 7: Lasing action from a 2D photonic quasicrystal.

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Acknowledgements

This work was supported by the NSF-MRSEC programme at the University of Utah, grant No. DMR 11-21252.

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  1. Department of Physics and Astronomy, University of Utah, Salt Lake City, 84112, Utah, USA

    Z. Valy Vardeny

  2. Department of Electrical and Computer Engineering, University of Utah, Salt Lake City, 84112, Utah, USA

    Ajay Nahata

  3. Department of Electrical Engineering and Computer Science, Syracuse University, Syracuse, 13244, New York, USA

    Amit Agrawal

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Vardeny, Z., Nahata, A. & Agrawal, A. Optics of photonic quasicrystals. Nature Photon 7, 177–187 (2013). https://doi.org/10.1038/nphoton.2012.343

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