Method: Hybrid mode-flux theory (an asymptotic approximation of Soprano model)
Model output: propagation loss (incoherent) in the water layer
Description: Analytical equations of SOPRANO can be simplified for the mode-stripping region for the cases many modes propagate (such as higher frequencies than the cut-off frequency). Based on the asymptotic approximations for the mode-stripping region, a simple and fast formula can be obtained. This mode-stripping region formulation can be used for real-time applications such as ship sound mapping at high frequencies, where other models are computationally expensive.
Examples: A comparison between Soprano and M-Soprano is shown below for the range dependent Weston Memorial Workshop test cases. In these figures, the relative propagation loss is plotted to see the differences in detail.
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References:
- H.Ö.Sertlek, M.A. Ainslie, A depth-dependent formula for shallow water propagation, J. Acoust. Soc. Am.,136(2),57-582,2014, [CrossRef].
- H.Ö.Sertlek, M.A. Ainslie, K. Heaney, Analytical and Numerical Propagation Loss Predictions for Gradually Range-Dependent Isospeed Waveguides, IEEE Journal of Ocean Engineering, Volume: 44, Issue: 4, Oct. 2019, [CrossRef].
- H.Ö. Sertlek, Aria of the Dutch North Sea, Ph.D. thesis, University of Leiden, 2016, [CrossRef]