scholarly journals Nonreciprocal wave scattering on nonlinear string-coupled oscillators

2014 ◽  
Vol 24 (4) ◽  
pp. 043119 ◽  
Author(s):  
Stefano Lepri ◽  
Arkady Pikovsky
Keyword(s):  
Coupled Oscillators ◽  
Wave Scattering ◽  
Nonlinear String

Discrete Breathers Close to the Anticontinuum Limit: Existence and Wave Scattering

2003 ◽  
Vol 17 (22n24) ◽  
pp. 3996-4002 ◽  
Author(s):  
S. Flach ◽  
J. Dorignac ◽  
A. E. Miroshnichenko ◽  
V. Fleurov
Keyword(s):  
Fano Resonance ◽  
Coupled Oscillators ◽  
Wave Scattering ◽  
Weak Coupling ◽  
Harmonic Oscillators ◽  
Discrete Nonlinear Schrödinger Equation ◽  
Weakly Coupled ◽  
Discrete Breathers ◽  
Analytical Result ◽  
Full Reflection

The anticontinuum limit (i.e. the limit of weakly coupled oscillators) is used to obtain two surprising results. First we prove the continuation of discrete breathers of weakly interacting harmonic oscillators, provided a suitable coupling is chosen. Secondly we derive an analytical result for the wave transmission by a breather of the discrete nonlinear Schrödinger equation at weak coupling. We obtain a resonant full reflection due to a Fano resonance.

Ultrasonic Wave Scattering by a Line Crack in a Solder Joint

1999 ◽  
Vol 11 (1) ◽  
pp. 117-135
Author(s):  
P. Dineva ◽  
D. Gross ◽  
T. Rangelov
Keyword(s):  
Solder Joint ◽  
Ultrasonic Wave ◽  
Wave Scattering ◽  
Line Crack
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