Numerical simulations of shockless nonlinear acoustic noise in one dimension
Jang, Hyeon Joo
MetadataShow full item record
The attenuation of a monochromatic signal in the presence of discrete noise in one dimension is investigated numerically. The predicted Gaussian attenuation is verified by the numerical program, which is based on Riemann's implicit solution of the exact equation for the unidirectional propagation of shockless sound. Two new results are also presented. In the first, the transition from Gaussian to Bessel dependence as a function of resolution in the detection of a signal is observed. This results shows that the fundamental property of time reversibility can only be established if the overall system of the waves and the observer is considered. In the second result, the evolution of the amplitude of a signal injected downstream from the noise is investigated. The Gaussian attenuation is also observed in this case. This result explicitly shows that the attenuation length depends on the distance the signal has traveled, thus displaying memory and breakdown of translational invariance.
Showing items related by title, author, creator and subject.
Lamczyk, Mark Anthony; Park, Jongkap (Monterey, California. Naval Postgraduate School, 1997-06);In this work we report on experimental and numerical investigations of the attenuation of a small amplitude signal due to its interaction with high intensity, band limited sound whose spectrum consists of up to four discrete ...
Small, Peter D. (2005);The ultrasonic wave propagation of thick, layered composites containing degraded bonds is investigated. A theoretical one-dimensional model of three attenuative viscoelastic layers containing two imperfect interfaces is ...
Hester, Milton Jensen. (Monterey, California. Naval Postgraduate School, 1972-03);A review of research indicates that the attenuation of seismic impulses is a complex function of such factors as moisture, soil thickness, substrata homogeneity, substrata consistency, and vegetation. The problem ...