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https://hdl.handle.net/2115/5948

Correlations in phonon-transmission spectra in periodic and quasiperiodic superlattices

英語

1989-03-15

American Physical Society

Physical Review B

39(8)

5349-5352

We study the origin of correlations in phonon-transmission spectra in Fibonacci and periodic superlattices (SL’s), which have recently been recognized by numerical calculations and then confirmed by phonon-imaging experiments. The structure factors describing the interference effects of phonons reflected from the interfaces of both periodic and Fibonacci SL’s are calculated. It is found that the wave number Qm,n (indexed by two integers m and n) for which the largest reflection occurs in a Fibonacci SL is identical to the wave number Qm+n for which (m+n)th Bragg reflection of phonons occurs in the corresponding periodic SL. We also show more generally that major phonon-transmission dips in the Fibonacci SL occur at frequencies close to each transmission dip in the periodic SL. Two-dimensional maps for the Bragg and Bragg-like reflections of phonons in these systems indicate that the correlations are applicable, irrespective of propagation directions and modes participating in the reflection processes.

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Copyright © 1989 American Physical Society

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