A new method for computing wave fields in a high-frequency approximation
Abstract
A method for computing wave fields of different physical natures by high-frequency approximation is developed, which is based on a summation of Gaussian beams at an observation point M. A fan of rays passing through some vicinity of the point M is constructed, and a Gaussian beam is constructed for each ray of the fan. Finally, the contributions of the Gaussian beams at the point M are summed over all rays of the fan. It is concluded that this method is convenient for the computation of wave fields especially in regions with irregular behavior of the rays, i.e., when M is placed on a caustic.
- Publication:
-
Mathematical Aspects of Wave Propagation Theory. 11
- Pub Date:
- 1981
- Bibcode:
- 1981mawp.rept..195P
- Keywords:
-
- Approximation;
- Beams (Radiation);
- High Frequencies;
- Wave Propagation;
- Asymptotic Methods;
- Helmholtz Equations;
- Partial Differential Equations;
- Wave Functions;
- Physics (General)