## 3aSA6. Phase and localization length of disordered ribbed systems.

### Session: Wednesday Morning, December 4

### Time: 9:20

**Author: Yang par**

**Location: SFA, Inc., 1401 McCormick Dr., Landover, MD 20785**

**Author: Douglas M. Photiadis**

**Location: Naval Res. Lab., Washington, DC 20375-5000**

**Abstract:**

A general integral equation based on Markov chain theory is used to
determine the probability density function (pdf) for the phase of vibrational
waves propagating along a ribbed flat membrane or plate. This equation is
simplified considerably when the ribs are distributed completely randomly or
quasiperiodically. In these two cases, the equation is asymptotically solved in
the limit of weak or strong scattering from each rib; the phase pdf and the
localization factor of the wave functions are obtained explicitly. The validity
of the asymptotic solutions is examined and verified by comparing against the
well-known analytical solutions and Monte Carlo simulation.

ASA 132nd meeting - Hawaii, December 1996