A Geometric Theory of Natural Oscillation Frequencies in Exterior Scattering Problems. Addendum.
Abstract
In the main body of our report, (AD A079 304) we developed an asymptotic ray theory that predicts correctly the exterior resonant frequencies of a sphere. A logical extension of this work is to spheroids where, unlike the sphere, the polar ray orbit resonance condition is nontrivial. The idea is thus to extend the results to separable coordinate systems, so that the WKB resonance condition can be applied independently to the rays along the three coordinate paths. The radial ray path remains trapped between a scattering surface and the turning point caustic. At this point, the results of this addendum are only formal and tentative. No numerical work has yet been carried out. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 31, 1980
- Accession Number
- ADA084439
Entities
People
- Allen Q. Howard Jr.
Organizations
- University of Arizona