Characterization and Fabrication of Synthetic Rough Surfaces for Acoustical Scale-Model Experiments
Abstract
Diverse aspects of stochastic processes, time-series analysis and fractal geometry are applied to the problem of characterizing and fabricating scale-model representations of the ocean bottom for acoustical analysis. As these physical models of rough surfaces are of finite size and manufacturing resolution, they are properly treated as examples of band-limited fractional Brownian motion (FBM), a type of approximately self-affine fractal. A novel formalism for the generation and characterization of FBM surfaces is developed, and the high- and low-wave number bandwidth restrictions are described analytically and presented visually. Specific applications involving acoustic tank experiments for verifying the predictions of rough surface scattering theories are described. MATLAB code for creating and validating mathematical representations of FBM surfaces is provided.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 05, 2005
- Accession Number
- ADA452670
Entities
People
- Jason E. Summers
- Raymond J. Soukup
- Robert F. Gragg
Organizations
- United States Naval Research Laboratory