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Anomalous Doppler effects in bulk phononic crystal. (English) Zbl 1248.82053

Summary: Doppler effects in simple cubic phononic crystal are studied theoretically and numerically. In addition to observing Doppler shifts from a moving source’s frequencies inside the gap, we find that Doppler shifts can be multi-order, anisotropic, and the dominant order of shift depends on the band index that the source’s frequency is in.

MSC:

82D25 Statistical mechanics of crystals
65M80 Fundamental solutions, Green’s function methods, etc. for initial value and initial-boundary value problems involving PDEs
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