Causality analysis of frequency-dependent wave attenuation
نویسندگان
چکیده
منابع مشابه
Causality Analysis of Frequency Dependent Wave Attenuation
The work is inspired by thermo-and photoacoustic imaging, where recent efforts are devoted to take into account attenuation and varying wave speed parameters. In this paper we derive and analyze causal equations describing propagation of attenuated pressure waves. We also review standard models, like frequency power laws, and the thermo-viscous equation and show that they lack causality in the ...
متن کاملCausality analysis of waves and wave equations obeying attenuation
In this paper we show that the standard causality condition for attenuated waves, i.e. the Kramers-Kronig relation that relates the attenuation law and the phase speed of the wave, is necessary but not sufficient for causality of a wave. By causality of a wave we understand the property that its wave front speed is bounded. Although this condition is not new, the consequences for wave attenuati...
متن کاملFrequency-Dependent Attenuation Analysis of Ground-Penetrating Radar Data
I investigate the frequency dependence of attenuation and problems with measuring the intrinsic attenuation in reflection data. It is well established that in many materials attenuation is approximately linear with frequency over the bandwidth of the GPR signal, with a slope characterized by a constant Q* parameter. I show the relationship of Q* to the parameters describing Cole-Cole relaxation...
متن کاملFrequency-dependent effects on global S-wave traveltimes: wavefront-healing, scattering and attenuation
S U M M A R Y We present a globally distributed data set of ∼400 000 frequency-dependent SH-wave traveltimes. An automated technique is used to measure teleseismic S, ScS and SS traveltimes at several periods ranging from 10 to 51 s. The targeted seismic phases are first extracted from the observed and synthetic seismograms using an automated time window algorithm. Traveltimes are then measured...
متن کاملPatterns of phase-dependent spiral wave attenuation in excitable media.
We show that introducing periodic planar fronts with long excitation duration can lead to spiral attenuation. The attenuation occurs periodically over cycles of several planar fronts, forming a variety of complex spatiotemporal patterns. We find that these attenuation patterns occur only at specific phases of the descending fronts relative to the rotational phase of the spiral. These patterns f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Methods in the Applied Sciences
سال: 2010
ISSN: 0170-4214
DOI: 10.1002/mma.1344