Abstract
We study the reflection and transmission coefficients of a strip of parallel chains with random masses. We show that the transmission coefficients decay exponentially. For this we need the applicability of a theorem by Tutubalin, which is formulated as a conjecture.
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References
Burridge R and Papanicolau G (1972) Comm Pure Appl Math 25: 715–757
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Tutubalin VA (1971) Theory Prob Appl 16: 631–642
Tutubalin VA (1968) Theory Prob Appl 13: 65–83
Verheggen T (1979) Commun Math Physics 68: 69–82
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Verheggen, T. The transmission coefficients of a random system. Applied Scientific Research 37, 163–170 (1981). https://doi.org/10.1007/BF00382626
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DOI: https://doi.org/10.1007/BF00382626