Field Control through Submanifold Active Manipulation in CED
Abstract
The current document proposes new research initiatives concerning the characterization, discretization and active control of electromagnetic currents defined on compact surfaces for real-time active field manipulation with applications to: dynamic field synthesis and real time scattering cancellation. 1 Statement of Objectives O1. Theoretical characterization of currents defined on compact surfaces such that the corresponding exterior radiating Maxwell field actively approximates different prescribed field patterns in various given (bounded or unbounded) control regions. O2. Stability and sensitivity numerical analysis of minimum norm solutions in relevant function spaces. O3. Development of discretization schemes and computational strategies for the theoretically predicted continuous currents towards their feasible instantiation. O4. Real-time active manipulation of the predicted surface currents for active scattering cancellation from unknown interrogation or dynamic field synthesis (i.e., switching between different field patterns in prescribed exterior control regions). 2 Scientific methods to be used O1. Two main problems will be treated in the project: Active scattering cancellation (i.e., real time protection of moving or stationary targets) and Dynamic field synthesis (i.e., real-time switching between different surface currents to approximate different prescribed field patterns in various disjoint exterior control regions). For this objective use will be made of methods and ideas from: Integral equation methods in Inverse problems, Constrained infinite dimensional optimization, Computation of Maxwell exterior boundary value problems, Direct and inverse Scattering theory. O2. The proposed strategy for analyzing the active manipulation of electromagnetic field problem is based on using Debye potential representations together with smooth control results for the Helmholtz equation. For the objective O2. ideas from the theory of Regularization methods for ill-posed problems, Singular value decomposition methods for approximation of minimum-norm solutions as well as computational strategies such as Method of Moments and finite element schemes will be considered. O3. Various orthonormal bases for the theoretically predicted continuous surface currents will be considered and the quality of resulting approximations in relevant function spaces will be analyzed. In doing so, specific numerical methods for constrained finite dimensional (possibly) multi-objective optimization will be used. O4. For the active scattering application, in the case when there is no a-priori information about the interrogating field, the problem of designing stable boundary controls on the surface of the protected target to achieve the desired scattering cancellation effect in real-time will be considered. Theoretically this will be an infinite dimensional system with time-delayed distributed controls. To achieve this objective ideas and methods from from the theory of feedback control of finite and infinite dimensional systems for Hemholtz and Maxwell equations will be used. 3 Broader impact The present document describes a research plan for the theoretical and numerical study of the possibility to control and predict the behavior of electromagnetic fields in region close to radiating sources with a series of timely important applications for the armed forces. The proposed work will produce theoretical and numerical studies for the problem of active field manipulation resulting in a general mathematical framework for an alternative strategy for the control of radiating electromagnetic fields in arbitrary exterior regions of space through active manipulation of currents on given compact surfaces.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Oct 11, 2018
- Source ID
- W911NF1710478
Entities
People
- Daniel Onofrei
Organizations
- Army Contracting Command
- United States Army
- University of Houston