A description method of shaped reflector antenna based on zernike polynomials and trigonometric functions

Abstract

The invention discloses a shaped reflector antenna surface description method based on a Zernike polynomial and a trigonometric function. The method comprises the steps of determining reflector antenna structure information and a surface discrete point coordinate; conducting coordinate transformation; determining a reflector caliber projection orientation and a radial index initial value in the Zernike polynomial; adopting a least square method to calculate a trigonometric function coefficient in an antenna surface description equation; obtaining the antenna surface description equation composed of the Zernike polynomial and the trigonometric function, and calculating a root-mean-square error relative to a surface discrete point; judging whether the obtained root-mean-square error meets a surface description requirement or not, if yes, obtaining the best shaped reflector antenna surface description equation, and if not, modifying the orientation and a radial index. In the shaped reflector antenna surface description method based on the Zernike polynomial, the antenna surface description mathematical equation can be directly calculated according to the obtained shaped reflector antenna surface discrete point, and essential and precise antenna surface global information is provided for surface switch and performance compensation during observation of an antenna at different frequency bands.

Description

technical field [0001] The invention belongs to the technical field of antennas, in particular to a profile description method of a shaped reflector antenna based on Zernike polynomials and trigonometric functions, which is used for the profile description of a shaped reflector antenna, and is used for profile switching when observing different frequency bands of the antenna. and performance compensation to provide the necessary accurate information on the whole field of the antenna type, which has important academic significance and engineering application value. Background technique [0002] Reflector antennas are mainly used in major projects such as communication radar, astronomical observation, and strategic long-range early warning. In recent years, with the complexity of the working environment of reflector antennas and the diversification of working modes, different functions have put forward different requirements for the antenna. , which also promoted the developme...

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Problems solved by technology

In the existing work of describing the shape of the shaped surface, Guan Rui used Bernstein polynomials to expand the generatrix of the shaped reflector in "Research on the Antenna Beamforming of the Hourglass Reflector", but this method can only Shape the axially symmetrical shaped reflecting surface; Li Changze used the non-uniform rational B-spline (NURBS) surface geometric modeling technology to make any reflecting surface The antenna is shaped, and the local shape of the reflector is modified by changing the weighted value of the control point of the reflector, but it is difficult to deduce from the theoretical formula to control the weighted value to describe and analyze the shaped surface; In "Research on Thermal Analysis and Thermal Analysis", the bicubic spline function is used to expand the reference reflective surface. The expansion form is complicated and difficult, which will reduce the effect of the forming process.

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