PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Jinchao Xu, Xiantao Li, Yuxi Zheng, Kris Jenssen, Hope Shaffer.

Title:Stochastic-Integrable Optical Pulse Dynamics in a Resonant Optical Medium
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Gregor Kovacic, RPI
In a resonant interaction, light of specific wavelengths excites electron transitions between atomic energy levels in an active optical medium such as gas or crystal. For instance, in the lambda-configuration, light interacts with a medium via a pair of electron transitions between an energetically higher and two energetically lower atomic levels, which involve light of opposite circular polarizations or two different colors. We have identified a switching mechanism in this interaction: The polarization of the light will switch so that it will interact with the medium only through the transition between the higher level and the lower level less populated with electrons. If the initial occupation of the two lower levels varies randomly, an optical pulse passing through this material will switch randomly between the two polarizations/colors. Mathematically, this phenomenon is described by exact solutions of a completely integrable random partial differential equation, thus combining the opposing concepts of integrability and disorder. Exact probability distributions of the parameters describing the light polarization will be presented and the distributions of the times when light switches from one polarization to the other discussed.

Room Reservation Information

Room Number:MB106
Date:10 / 07 / 2011
Time:03:35pm - 04:25pm