Propagation and application of structured light in random media
Abstract
The main theme of the proposed research project is to understand structured light, its propagationin random media, and to utilize the discovered properties to guide designing of light structurefor different application purposes. Accordingly, we have two main research activities centeredaround understanding and application.To understand structured light and its propagation, we will be focusing on modeling, conditioningand analyzing mostly in the multiscale context. The core of this part of research is to unifythe description of light propagation, by connecting the radiative transfer equation and the Maxwellequations, the two most popular models, and by differentiating the validity regimes of the two. Thisconnection and differentiation need to be explored on the level of equations and the conditionings(initial and boundary data).This objective, if achieved, paves the way for investigating light propagation across regimes(from quantum to statistical) in multiscale physical systems, and provides the basic tools for translatingdifferent sets of results. PDE multiscale analysis and asymptotic analysis will be the mostheavily used tools. In particular, on the analytical side, the Wigner transform is projected to be veryuseful due to its easy expression in both quantum and statistical regimes. On the numerical side,we will explore asymptotic preserving and homogenization, two pools of techniques that permitefficient computation for stiff equations.To utilize/apply structured light, we will be studying both the robust and sensitive light structure.We will be designing beam structures that generate light robust to the media perturbation andthus able to transmit information from the transmitter to the receiver. We will be also exploringhow to utilize sensitive beams to extract media information.This objective, if achieved, on one hand, gives a concrete expression for designing light beamsthat enhances communication in turbulent media, both in strength and accuracy, and on the other,reveals or reconstructs statistical information of the turbulent media using the scattered light information.The study of both applications will be mostly built upon optimization and inverse theory.Using classical inverse theory we will be able to formulate optimization problems and theoreticallyjustify their wellposedness, and the cutting edge optimization algorithms with random selection andprojection techniques are predicted to enhance the numerical performance. The multiscale analysisachieved in the first objective will also play a crucial role in building the inverse theory.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Mar 15, 2021
- Source ID
- N000142112140
Entities
People
- Qin Li
Organizations
- Office of Naval Research
- United States Navy
- University of Wisconsin System