High-frequency asymptotic solution of the wave equation in an inhomogeneous medium
| ISSN: |
1089-7658
|
|---|---|
| Source: |
AIP Digital Archive
|
| Topics: |
Mathematics
Physics
|
| Notes: |
An explicit integral representation is obtained in the Ε→0 limit of the solution of the wave equation utt=c(x)2Δu on Rn (n≤3) with initial data of the form u(x,0)=f(x)eiS(x)/Ε. Estimates are given with respect to the energy norm and the representation is valid for any finite time interval. Away from caustics, the integral is asymptotically evaluated and it is found that the solution is determined by time-dependent geometrical optics.
|
| Type of Medium: |
Electronic Resource
|
| URL: |