2024-03-29T13:23:42Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/59482022-11-17T02:08:08Zhdl_2115_20045hdl_2115_139Correlations in phonon-transmission spectra in periodic and quasiperiodic superlattices1000080109488Tamura, S.田村, 信一朗Watanabe, T.open accessCopyright © 1989 American Physical Society427.4We 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.American Physical Society1989-03-15engjournal articleVoRhttp://hdl.handle.net/2115/5948http://www.aps.org/https://doi.org/10.1103/PhysRevB.39.53490163-1829Physical Review B39853495352https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/5948/1/PRB39-8.pdfapplication/pdf853.52 KB1989-03-15