Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering of Waves by Impurities in Precompressed Granular Chains   We study scattering of waves by impurities in strongly precompressed granular
chains. We explore the linear scattering of plane waves and identify a
closed-form expression for the reflection and transmission coefficients for the
scattering of the waves from both a single impurity and a double impurity. For
single-impurity chains, we show that, within the transmission band of the host
granular chain, high-frequency waves are strongly attenuated (such that the
transmission coefficient vanishes as the wavenumber $k\rightarrow \pm\pi$),
whereas low-frequency waves are well-transmitted through the impurity. For
double-impurity chains, we identify a resonance --- enabling full transmission
at a particular frequency --- in a manner that is analogous to the
Ramsauer--Townsend (RT) resonance from quantum physics. We also demonstrate
that one can tune the frequency of the RT resonance to any value in the pass
band of the host chain. We corroborate our theoretical predictions both
numerically and experimentally, and we directly observe complete transmission
for frequencies close to the RT resonance frequency. Finally, we show how this
RT resonance can lead to the existence of reflectionless modes even in granular
chains (including disordered ones) with multiple double impurities.

35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys