2024-03-28T23:20:49Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/59442022-11-17T02:08:08Zhdl_2115_20045hdl_2115_139Acoustic interference in random superlattices1000080109488Tamura, Shin-ichiro田村, 信一朗Nori, Francoopen accessCopyright © 1990 American Physical Society428.4We study theoretically the interference effects and the resulting transmission of acoustic phonons in random superlattices, i.e., multilayered systems in which two kinds of building blocks A and B are stacked at random. We derive (i) the recursion relations satisfied by the superlattice structure factors, and (ii) an analytic expression for the ensemble-averaged intensity of phonons reflected from layer interfaces of an infinite system. We predict a number of sharp features in the intensity versus frequency, which appear rather regularly. Furthermore, numerical calculations for both the double- and single-layer random superlattices indeed exhibit distinctive dip structures in phonon transmission spectra which are in good agreement with the analytical results. We also find that the single-layer random superlattices show an effective phonon-filtering action as the system size is increased, i.e., they prevent the transmission of phonons except for those satisfying resonance conditions.American Physical Society1990-04-15engjournal articleVoRhttp://hdl.handle.net/2115/5944http://www.aps.org/https://doi.org/10.1103/PhysRevB.41.79410163-1829Physical Review B411179417944https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/5944/1/PRB41-11.pdfapplication/pdf870.02 KB1990-04-15