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


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