The Covariance of Scalar Fields Scattered by Pressure-Release Randomly Rough Surfaces.
Abstract
Expressions for the spatial covariance of the scattered scalar field are presented. The scatterer is a randomly rough pressure-release surface with either Gaussian or Pierson-Stacy wavenumber spectrum. Three different models are presented: the Standard Model, which utilizes the Helmholtz-Kirchhoff integral as a starting point and uses an integration-by-parts technique to compute the random normal gradient; the Slope-Operator Model, developed using the Fresnel and Fraunhofer phase approximation, begins with a double-layer potential integral and relies on an operator to compute the dot product of the random normal gradient. Finally, the Composite-Roughness Model, which in essence merges perturbation techniques with the tangent plane formulations of the scattering integral is considered. Keywords: Acoustic fields, Acoustic scattering, Acoustic spectrum analysis, Acoustic wave coherence, Surface wave acoustic devices.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1987
- Accession Number
- ADA192489
Entities
People
- J. M. Restrepo
- S. T. Mcdaniel
Organizations
- Pennsylvania State University