A comparison between techniques for global surface interpolation in shaped reflector analysis

Author

Bergmann, José R. ; Hasselmann, Flavio J V ; Teixeira, Fernando L. ; Rego, Cassio G.

Author_Institution

Center for Telecommun. Studies, Catholic Univ., Rio de Janeiro, Brazil

Volume

42

Issue

1

fYear

1994

fDate

1/1/1994 12:00:00 AM

Firstpage

47

Lastpage

53

Abstract

Usual geometrical optics based syntheses of shaped reflectors provide numerically defined surfaces which must be interpolated for subsequent evaluation of the antenna secondary field to check against design specifications. The implementation of three techniques capable of performing global interpolations of numerically defined (3D) surfaces, namely, the quintic pseudosplines, polynomial Fourier series, and Jacobi polynomial-sinusoidal expansions, is explored. The relative superior stability of the first is demonstrated for the synthesis of shaped reflectors presenting critical behavior of their principal curvatures

Keywords

antenna testing; antenna theory; approximation theory; geometrical optics; interpolation; polynomials; reflector antennas; series (mathematics); splines (mathematics); stability; Jacobi polynomial-sinusoidal expansions; antenna secondary field; design specifications; geometrical optics based syntheses; global surface interpolation; numerically defined 3D surfaces; polynomial Fourier series; quintic pseudosplines; shaped reflector analysis; stability; Fourier series; Geometrical optics; Interpolation; Jacobian matrices; Optical design; Optical scattering; Polynomials; Reflector antennas; Stability; Surface fitting;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.272300

Filename

272300