## 3aUW9. Invariant imbedding analysis of seabed acoustics.

### Session: Wednesday Morning, May 15

### Time: 10:35

**Author: Khaldoun Khashanah**

**Location: Dept. of Mathematical Sciences, Stevens Inst. of Technol., Hoboken, NJ 07030**

**Author: Thomas G. McKee, Jr.**

**Location: Stevens Inst. of Technol., Hoboken, NJ 07030**

**Abstract:**

The linear acoustic equations for the bounded slab of fluid ocean and
elastic seabed with cylinderical symmetry are reduced to a set of coupled
boundary value problems using separation of variables. In order to have a
computational technique capable of handling stratification effects in the
seabed, invariant imbedding is used to replace the boundary value problem with
an initial value problem. As an initial approximation, the case of an ocean with
a reflective bottom is considered and the change in the solution, as the depth
of the seabed increases, is calculated. The method of invariant imbedding is
shown to be numerically stable and has the advantage of assessing the effects of
including an interactive seabed on the solution to the underwater acoustics
problem with a reflecting seabed.

from ASA 131st Meeting, Indianapolis, May 1996