Localization of leaky guided waves

Didier Sornette, Louis Macon and Jean Coste

Physica A: Statistical Mechanics and its Applications, 1989, vol. 157, issue 1, 42-48

Abstract: A general transfer matrix approach for the propagation of guided waves in presence of inhomogeneities or “scatterers” is presented. It particularly addresses the problem of the coupling with radiation modes leading to a leakage of the guided wave to the surrounding bulk medium at each scattering. For 1D-periodic lattices of identical scatterers, we show that the leakage vanishes at the band edge: this coherent effect stems from the complete destructive interference between the converted radiations at each scatterer. We also discuss the competition between Anderson localization and the coherent leakage in presence of disorder. Near the band edges and in presence of disorder, the “attenuation length” due to the leakage is much larger than the localization length. We also discuss some experimental results on the leakage in a quasi-periodic lattice.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:157:y:1989:i:1:p:42-48

DOI: 10.1016/0378-4371(89)90275-6

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