Abstract
This chapter is dedicated to the discussion of soft polymeric quasicrystals, which show dodecagonal symmetry, as well as photonic and phononic quasicrystals. On the example of transmission spectra, the characteristic features of one-, two- and three-dimensional phononic quasicrystals are illustrated. The high-symmetry of particular quasicrystals makes omnidirectional band-gaps possible even in low-contrast materials. The structures used for that purpose are the Fibonacci sequence, the octagonal tiling and the Ammann tiling. The consequences of soft and hard contrast as well as the role of resonant and Bragg scattering are discussed.
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Steurer, W., Deloudi, S. (2009). Generalized Quasiperiodic Structures. In: Crystallography of Quasicrystals. Springer Series in Materials Science, vol 126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01899-2_11
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DOI: https://doi.org/10.1007/978-3-642-01899-2_11
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