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Explore insights into underwater acoustic wavefield statistics over 30 years, debunking assumptions and revealing the crucial role of background characteristics. Discover the intricate interplay between early and late arrivals, intensity distributions, and energy scattering from theoretical results and observations. Gain a deeper understanding of the stability parameters and their multiplicative impact on wavefield statistics, highlighting the minimal sensitivity to background structure variations. Dive into the significant progress made in understanding underwater acoustic phenomena beyond passive background assumptions, shaping future research directions.
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30 Years of Progress? M. G. Brown, F. J. Beron-Vera, I. Rypina, I. Udovydchenkov
Our simple expressions account for the following features of the AET measurements: • the remarkably small (O(ms)) time spreads of the early arrivals; • the associated (early arrival) near-lognormal peak intensity pdf; • the large time spreads of the late arrivals; • the associated (late arrival) near-exponential intensity pdf; • the vertical scattering of energy.
Comments on theoretical results • ray and modal phase stability are controlled by the same parameter (a = b) • dependence on the stability parameter a (or b) is multiplicative • derivation of these results does not require that the apex approximation be used • these results suggest that wavefield statistics show very little sensitivity to the structure of dc(z,r) (because of the central limit theorem)
Conclusions • Over the past 30 years progress on understanding underwater acoustic wavefield statistics has been severely hampered by inappropriately assuming that the background c(z) plays a passive role in the process. (Intuition based on the homogeneous background problem fails.) • In the inhomogeneous background problem wavefield statistics at long range are controlled by the background c(z) via a (or b); wavefield statistics show remarkably little sensitivity to the details of dc(z,r). • These statements are supported by ray- and mode-based theoretical results and PE simulations. Agreement between theoretical results and the AET observations is good.