Phys. Rev. B 72, 134304 (2005) [5 pages]Scaling and localization of polaritonic states in piezoelectric Fibonacci superlatticesReceived 9 August 2005; published 24 October 2005 The scaling and localization properties of polaritonic states in piezoelectric Fibonacci superlattices are studied using the generalized 4×4 transfer matrix method. The dynamics of electromagnetic waves and acoustic waves is treated on equal footing. Both polaritonic band structures and transmission spectra possess the pattern of the Cantorset with respect to generations. The scaling parameter α′=4.236 is in agreement with the previous studies on pure electronic and phononic Fibonacci superlattices. Furthermore, the fractal nature of the transmission spectra serves as a proof for the (quasi)localization of polaritons which should be observable in experiments. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.72.134304
DOI:
10.1103/PhysRevB.72.134304
PACS:
05.45.Df, 42.25.−p, 71.36.+c
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