Wave propagation in a quasi-periodic waveguide network

Details Wave propagation in a quasi-periodic waveguide network Wave propagation in a quasi-periodic waveguide network

2004-12-28

arxiv.org/abs/cond-mat/0412720v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

15 pages, 5 figures

Scientific paper

10.1016/j.physe.2005.01.016

We investigate the transport properties of a classical wave propagating through a quasi-periodic Fibonacci array of waveguide segments in the form of loops. The formulation is general, and applicable for electromagnetic or acoustic waves through such structures. We examine the conditions for resonant transmission in a Fibonacci waveguide structure. The local positional correlation between the loops are found to be responsible for the resonance. We also show that, depending on the number of segments attached to a particular loop, the intensity at the nodes displays a perfectly periodic or a self-similar pattern. The former pattern corresponds to a perfectly extended mode of propagation, which is to be contrasted to the electron or phonon characteristics of a pure one dimensional Fibonacci quasi-crystal.

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