Non-symmetric flexural wave scattering and one-way extreme absorption

The Journal of the Acoustical Society of America
Andrew N Norris, Pawel Packo

Abstract

The possibility of asymmetric absorption and reflection for flexural waves is demonstrated through analytical and numerical examples. The emphasis is on the one-dimensional (1D) case of flexural motion of a beam for which combinations of point scatterers are considered, which together provide asymmetric scattering. The scatterers are attached damped oscillators characterized by effective impedances, analogous to effective configurations in 1D acoustic waveguides. By selecting the impedances of a pair of closely spaced scatterers it is shown that it is possible to obtain almost total absorption for incidence on one side, with almost total reflection if incident from the other side. The one-way absorption is illustrated through numerous examples of impedance pairs that satisfy the necessary conditions for zero reflectivity for incidence from one direction. Examples of almost total and zero reflection for different incidences are examined in detail, showing the distinct wave dynamics of flexural waves as compared with acoustics.

References

Jun 3, 2016·The Journal of the Acoustical Society of America·Cheng Yang, Li Cheng
Jun 14, 2017·Nature Communications·Michael B MuhlesteinMichael R Haberman

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Citations

Aug 3, 2019·The Journal of the Acoustical Society of America·Romain FleuryAndrew N Norris
Jan 8, 2021·Proceedings. Mathematical, Physical, and Engineering Sciences·Hyeonu HeoArup Neogi

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