Quasiperiodic Photonic and Phononic Crystals
The main advantage of quasiperiodicity for the design of photonic and phononic crystals is the arbitrarily high rotational symmetry, which can be achieved without sacrificing a discrete Fourier (Bragg) spectrum. Consequently, the degree of isotropy can be arbitrarily increased leading to omnidirectional bandgaps. These are important for most applications as for instance wave-guides or -shields.
Danuta Stróż & Małgorzata Karolus
W. Steurer and D. Sutter-Widmer, "Quasiperiodic Photonic and Phononic Crystals", Solid State Phenomena, Vol. 130, pp. 33-38, 2007