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

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 eq...

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Bibliographic Details
Published in:Acoustical physics 2018-03, Vol.64 (2), p.150-157
Main Authors: Panin, S. B., Tuchkin, Yu. A., Poyedinchuk, A. E., Unal, I.
Format: Article
Language:English
Subjects:
Acoustics
Boundary value problems
Classical Problems of Linear Acoustics and Wave Theory
Curvature
Mathematical analysis
Parabolic bodies
Physics
Physics and Astronomy
Reflectors
Regularization
Regularization methods
Wave diffraction
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Summary: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.
ISSN:1063-7710
1562-6865
DOI:10.1134/S1063771018020136