Name
Abstract | ||
|---|---|---|
AbstractWe study cumulative scattering effects on wave front propagation intime dependent randomly layered media. It is well known that the wavefront has a deterministic characterization in time independent media,aside from a small random shift in the travel time. That is, the pulseshape is predictable, but faded and smeared as describedmathematically by a convolution kernel determined by theautocorrelation of the random fluctuations of the wave speed. Themain result of this paper is the extension of the pulse stabilizationresults to time dependent randomly layered media. When the mediachange slowly, on timescales that are longer than the pulse width andthe time it takes the waves to traverse a correlation length, thepulse is not affected by the time fluctuations. In rapidly changingmedia, where these timescales are similar, both the pulse shape andthe random component of the arrival time are affected by thestatistics of the time fluctuations of the wave speed. We obtain anintegral equation for the wave front, that is more complicated than intime independent media, and cannot be solved analytically, in general.We also give examples of media where the equation simplifies, and thewave front can be analyzed explicitly. We illustrate with theseexamples how the time fluctuations feed energy into thepulse. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1137/140982751 | Periodicals |
Keywords | Field | DocType |
randomly layered media,time dependent,pulse stabilization | Wavefront,Mathematical analysis,Integral equation,Correlation function (statistical mechanics),Pulse-width modulation,Pulse (signal processing),Scattering,Kernel (image processing),Mathematics,Autocorrelation | Journal |
Volume | Issue | ISSN |
14 | 1 | 1540-3459 |
Citations | PageRank | References |
1 | 0.43 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Liliana Borcea | 1 | 40 | 12.95 |
| Knut Sølna | 2 | 142 | 46.02 |