Acoustical Physics

, Volume 64, Issue 2, pp 150–157 | Cite as

Axially Symmetric Compact Range Reflectors: Application of the Analytic Regularization Method

  • S. B. Panin
  • Yu. A. Tuchkin
  • A. E. Poyedinchuk
  • I. Unal
Classical Problems of Linear Acoustics and Wave Theory
  • 7 Downloads

Abstract

An axially symmetric compact range reflector with a blended rolled edge was analyzed and optimized in a rigorous formulation of the diffraction problem. The corresponding boundary-value diffraction problem is solved with the analytic regularization method, which reduces the problem to an operator equation of the second kind, thus guaranteeing a numerically stable and effective solution. The distribution of the surface density and the fields at the aperture and in the near-field zone were obtained and analyzed for different types of the reflector-edge curvature. In addition, a “blending function” was used that esures an infinitely smooth contour across the junction between the paraboloid part of the reflector and its rolled edge. The procedure for determining the optimal edge is carried out in the rigorous formulation of the diffraction problem by minimizing the deviation from a plane wave.

Keywords

compact range reflector rolled edge analytic regularization method optimization problem numerical methods of diffraction theory 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  • S. B. Panin
    • 1
  • Yu. A. Tuchkin
    • 2
  • A. E. Poyedinchuk
    • 3
  • I. Unal
    • 1
  1. 1.Material Institute, TUBITAK-MRCGebze/KocaeliTurkey
  2. 2.Gebze Institute of Technology, PK 141Gebze/KocaeliTurkey
  3. 3.Institute for Radiophysics and ElectronicsNational Academy of Sciences of UkraineKharkovUkraine

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