Combining Data-Driven and Physics-Based Methods

Project: Research project

Description

The overarching goals of this proposal are to fuse data-driven and physics-based methods for EM propagation through the inhomogeneous turbulent atmosphere and to develop next-generation predictive capabilities for long-range propagation and imaging, including during extreme events, accounting for both non-paraxial and paraxial effects. The proposed work is firmly grounded in recent achievements of the PIs described in the Progress to Date section of the proposal and the Appendix.

The research focus of the proposal comprises inter-related Research Thrusts. Specifically, the PIs will: (1) Create computationally efficient reduced Maxwell equations with effective electromagnetic physical parameters and develop accurate paraxial equations for radiowaves and microwaves propagating through inhomogeneous turbulence. We will pay particular attention to applications including GPS signal propagation through critical ionospheric electron layers, accounting for their dynamics and changes in curvature during geomagnetic storms. (2) Develop novel methods for imaging through random media by taking into account gradients and curvature of the refractive index, thus capturing lensing, mirages, and reduction of focal length by stochastic fluctuations. (3) Investigate noisy systems with delayed feedback with applications to GPS and satellite communication systems. (4) Estimate crucial EM wave statistics and transition research results. Among our cross-cutting research efforts will be development of targeted strategies for placing ground-based sensors that account for inaccessibility constraints.

Coordinated research in these thrust areas will yield the most profound advances in combining data-driven and physics-based predictive methods. Throughout the project, methodological developments will be steered by a closed-loop validation plan that incorporates theoretical, computational, and algorithmic developments. Validation efforts will focus on a limited collection of long-range propagation scenarios; nonetheless the techniques we develop will be cross-cutting. These studies will advance scientific knowledge, computation, and data assimilation for electromagnetics, and will develop next-generation predictive modeling capabilities for long-range EM propagation and imaging through atmospheric turbulence with a particular focus on extreme events such as ionospheric geomagnetic storms.
StatusActive
Effective start/end date12/15/1812/14/21

Funding

  • DOD-USAF-AFRL: Air Force Office of Scientific Research (AFOSR): $548,732.00

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physics
geomagnetic storm
extreme event
curvature
GPS
thrust
turbulence
mirage
refractive index
development project
data assimilation
method
sensor
electron
atmosphere
modeling
cutting (process)