Certified Reduced Basis Method for Electromagnetic Scattering and Radar Cross Section Estimation

Abstract

We study nontrivial applications of the reduced basis method (RBM) for electromagnetic applications with an emphasis on scattering and the estimation of radar cross section (RCS). The method and several extensions are explained with two examples with different characteristics. Parameters that are allowed to vary within the model include frequency, incident angle and measurement angle as well as the geometry of the scatterers. With appropriate applications of the empirical interpolation method (EIM), transformation of the domain, configuration of perfectly matched layer, exponential convergence of the reduced basis solution over the entire parameter domain is achieved. Moreover, we demonstrate that this approach allows for the effective capture of the critical behavior in this case through shapes that minimize scattering. This further highlights the robustness and quality of the greedy approximation and the reduced basis method approach.

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Document Details

Document Type
Technical Report
Publication Date
Nov 18, 2011
Accession Number
ADA557711

Entities

People

  • Jan S. Hesthaven
  • Jeronimo Rodriguez
  • Xueyu Zhu
  • Yanlai Chen
  • Yvon Maday

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Electromagnetic Scattering
  • Equations
  • Estimators
  • Frequency
  • Geometry
  • Interpolation
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Radar Cross Sections
  • Two Dimensional

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Radar Systems Engineering.