A Local Parabolic Method for Long Distance Wave Propagation
Abstract
A pulse propagation method for tracing the path of a short wavelength signal through a medium with varying index of refraction and over complex, reflecting terrain has been developed. The method is completely Eulerian and does not use any markers that can become sparse as the signal spreads in the lateral direction. On the other hand, unlike conventional Eulerian wave equation methods, the signal does not suffer degradation due to numerical error such as diffusion, even though the wavelength is of the order of a grid cell and the signal can propagate over arbitrarily long distances. During the contract period, it has been demonstrated, both theoretically and numerically, that there are no interaction effects when signals pass through each other, even after a large number of interactions. This is true of the actual linear wave equation that is being simulated, but had to be shown for our numerical method, which has a strong nonlinear component.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 21, 2005
- Accession Number
- ADA439389
Entities
People
- Jon Steinhoff
- Lesong Wang