Frozen Gaussian approximation for high frequency wave propagation
We propose the frozen Gaussian approximation for computation of high frequency wave propagation. This method approximates the solution to the wave equation by an integral representation. It provides a highly efficient computational tool based on the asymptotic analysis on the phase plane. Compared to geometric optics, it provides a valid solution around caustics. Compared to the Gaussian beam method, it overcomes the drawback of beam spreading. We give several numerical examples to verify that the frozen Gaussian approximation performs well in the presence of caustics and when the Gaussian beam spreads. Moreover, it is observed numerically that the frozen Gaussian approximation exhibits better accuracy than the Gaussian beam method. © 2011 International Press.
Duke Scholars
Published In
ISSN
Publication Date
Volume
Issue
Start / End Page
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
Published In
ISSN
Publication Date
Volume
Issue
Start / End Page
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0102 Applied Mathematics
- 0101 Pure Mathematics