Pulse reflection and transmission due to impurities in a granular chain.
Reflection and transmission due to the incident wave in one-dimensional bead chains when there are impurities have been studied. The impurities can be any kind of material, any size, and their numbers are arbitrary. The dependence of the transmission and the reflection on the numbers and the material parameters of the impurities are given. The analytical results are given by using the inverse scattering method. Substantial reflection is observed if there is only one steel bead. However, the reflection is negligible if there are two steel beads. The reflection monotonously increases as the numbers of the steel beads increase. The reflection remains a constant when the numbers of the steel beads are so many that the length composed by the steel beads is larger than the width of the solitary wave. It can be used to detect the impurities in the beads' chain by measuring the reflection of a pulse.
Institute of Modern Physics & College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, and Northwest Normal University, Lanzhou 730070, China.
Shi Wei
SW
Liu
Institute of Modern Physics & College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, and Northwest Normal University, Lanzhou 730070, China.
Yang Yang
YY
Yang
Institute of Modern Physics & College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, and Northwest Normal University, Lanzhou 730070, China.
Wen Shan
WS
Duan
Institute of Modern Physics & College of Physics and Electronic Engineering and Joint Laboratory of Atomic and Molecular Physics of NWNU, Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, and Northwest Normal University, Lanzhou 730070, China.|Department of Physics, Lanzhou University, Lanzhou 730000, China.
Lei
L
Yang