Transmission and reflection of waves by an anharmonic interface
The H. Niewodniczański Institute of Nuclear Physics ul. Radzikowskiego
152, 31-342 Kraków, Poland
Corresponding author: firstname.lastname@example.org
Accepted: 28 January 2000
Equations of motion for an anharmonic interface separating two dispersionless 1-d media are shown to be equivalent to those of the Duffing oscillator coupled with an overdamped harmonic oscillator. Transmission and reflection coefficients as well as trapping times are numerically determined for the most representative sets of the model parameters in a large range of frequencies. Abrupt thresholds are found in the transmission and reflection for strong enough anharmonicity. Irregular frequency dependence of the transmission coefficient is found in regions of chaos and almost no frequency dependence in the windows of periodic motion.
PACS: 68.35.Ja – Surface and interface dynamics and vibrations / 43.25.+y – Nonlinear acoustics / 05.45.Tp – Time series analysis
© EDP Sciences, 2000