Parameter estimation for the paraxial wave equation in a turbulent medium
Abstract
A common problem in many settings is to understand the propagation of waves through a turbulentmedium, such as the atmosphere or ocean. One such setting, for example, is the propagationof optical waves for purposes of communications. In this setting, one would like to send a signalthrough the turbulent medium, but a significant challenge arises because the turbulent medium willdistort the signal. Consequently, some important research objectives are to understand which signalswill propagate through the medium with the least distortion, and to possibly infer informationabout the turbulent medium itself in order to aide the signal recovery. The principal investigator(PI) will pursue these objectives from a mathematical viewpoint. The PI will use the paraxial waveequation as the mathematical setting, and will also possibly explore the validity of the paraxialapproximation. To search for signals that can propagate with minimal distortion, the PI will pursueanalytical and numerical solutions for the minimally distorted wave signals. To infer informationabout the turbulent medium, the PI will investigate methods of data assimilation. The turbulentmedium can be viewed as a parameter in the waves evolution equation, and data assimilationmethods can be used for the parameter estimation. If successful, and if information about theturbulent medium can be inferred, then the signal recovery could become more accurate than itwould be if no information about the turbulent medium were known. As a result, communicationscapabilities could possibly be advanced for the case of propagation through a turbulent medium.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 06, 2021
- Source ID
- N000142112119
Entities
People
- Samuel N. Stechmann
Organizations
- Office of Naval Research
- United States Navy
- University of Wisconsin System