Curvature Dependency of Propagating Waves in Point-Excited Spherical and Cylindrical Shells Submerged and in Vacuo,
Abstract
Geometrical acoustics solutions, which exhibit dependency on the shell curvature, are derived from the exact travelling wave representation for spherical and circular cylindrical shells, submerged and in vacuo. For submerged shells the curvature effect is of the order of the inverse of the wave radius, ka, while for shells in vacuo it is of the order of the square of the inverse of the wave radius. In the further approximation of small wave thickness, kh, the solutions obtained here for shells in vacuo satisfy the eikonal and transport equations determined by O. A. Germogenova for shells in vacuo. In addition, in this further approximation, although the energy transport vector is not normal to the phase front in general, it is always tangential to a geodetic path on the shell surface. Basics for the development of ray geometrical theories of the Keller type are indicated.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1974
- Accession Number
- ADA004645
Entities
People
- Jeremy Schwartz