Abstract
The accurate surface reconstruction of deformable reflectors is demanded by the onorbit surface adjustment of space antennas. This paper proposes a novel surface reconstruction method for deformable reflectors via combining Zernike polynomials with radio holography. First, the mathematical model of radio holography is derived based on Zernike polynomials and geometrical optics. Then, the surface reconstruction arithmetic considering surface error distribution is developed by a set of Zernike polynomials. According to the known far-field pattern of deformable reflectors, the field distribution in the aperture plane is deduced according to the radio holography, and the surface error distribution is reconfigured for the surface adjustment. Finally, two reflectors with different apertures are taken as numerical examples to illustrate the correctness and effectiveness of the proposed method.
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