Bridging Three Orders of Magnitude: Multiple Scattered Waves Sense Fractal Microscopic Structures via Dispersion

Simon A. Lambert*, Sven Peter Näsholm, David Nordsletten, Christian Michler, Lauriane Juge, Jean Michel Serfaty, Lynne Bilston, Bojan Guzina, Sverre Holm, Ralph Sinkus

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)

Abstract

Wave scattering provides profound insight into the structure of matter. We address the question of whether macroscopic waves can report back the fractality of microscopic scatterers despite several orders of magnitude difference in scale between wavelength and scatterer size. We show in theory, experiments, and simulations that the resulting coherent superposition of multiple reflections gives rise to power-law dispersion at the macroscopic scale if the scatterer distribution exhibits fractality. Since fractality is naturally present in any random medium, microstructure can thereby leave its fingerprint on the macroscopically quantifiable power-law exponent, paving the way to characterize non-invasively the fractality of vasculature.

Original languageEnglish
Article number094301
JournalPhysical Review Letters
Volume115
Issue number9
DOIs
Publication statusPublished - 26 Aug 2015

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