Recently, negative refraction of electromagnetic waves in photonic crystals was demonstrated experimentally and subwavelength images were observed. However, these investigations all focused on the periodic structure. In fact, the negative refraction exists not only in periodic structure, but also in nonperiodic structures such as quasicrystalline arrangement of dielectric. Here, we discuss the negative refraction and imaging based on some transparent quasicrystalline photonic structures. The high-symmetric photonic quasicrystals (PQCs) can exhibit an effective refractive index close to -1 in a certain frequency window. The index shows small spatial dispersion, consistent with the nearly homogeneous geometry of the quasicrystal. Thus, a flat lens based on the 2D PQCs can form a non-near-field image whose position varies with the thickness of the sample and the source distance. At the same time, the focus and image for both polarized waves at the same structure and parameters can also be realized by such a flat lens. In addition, the negative refraction behaviors of acoustic wave in phononic quasicrystal are also discussed.
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Zhang, X., Feng, Z., Wang, Y., Li, ZY., Cheng, B., Zhang, DZ. (2007). Negative Refraction and Imaging with Quasicrystals. In: Krowne, C.M., Zhang, Y. (eds) Physics of Negative Refraction and Negative Index Materials. Springer Series in Materials Science, vol 98. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72132-1_7
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