The Error Evaluation Technology Of Paraboloid Antenna Reflector At Arbitrary Position In Space

Nowadays, the parabolic reflector antenna is widely used in telecommunications,aerospace, and other fields depending on high-gain, simple structure and otherimportant features. The main factors that will directly affect its performance are shapeerror and installation error of the antenna. So it is worth to develop error evaluationtechnology with high accuracy and efficiency and it also has great values fordeveloping a large precision instrument.In the technology of parabola error evaluation, according to the geometricmeaning of paraboloid, the paraboloid can be obtained by rotating around the centeraxes, so it is an essential step to develop the parabola error evaluation technology.Based on the geometric property, evaluation principle of parabola and other simulation,analysis of evaluation algorithm, how to develop the technology for parabola errorevaluation is presented in this article.First, according to the basic principles of minimum area error evaluation forshape error, this article puts forward the principle of error evaluation for parabola andparaboloid.Second, this article does a research on the method, principle, and the algorithm oferror evaluation for parabolic profile and then realizes the least square evaluationalgorithm for parabola error based on normal distance.Third, based on the least square evaluation algorithm, this article proposes twonew methods of minimum zone evaluation for parabola profile error which aregeometry traversal search evaluation algorithm and geometry optimization approachevaluation algorithm. Through numerical simulation, it analyzes the relationshipamong area, equal points, and evaluation result in geometry traversal search evaluationalgorithm and the relationship among initial area, termination search criteria andevaluation result in geometry optimization approach evaluation algorithm.Fourth, according to the definition, geometric features and evaluate principle of parabolic profile error, it puts forward geometry optimization search evaluationalgorithm of parabolic profile error in arbitrary space positions based on geometryoptimization approximate evaluation algorithm. It proves the algorithm is astringencyand available through experiment, and then analyzes the relationship among initialreference point, termination search criteria and evaluation result.The core of algorithm in this article is to find feature standard of measured objectwhen included by minimum area through using geometrical features of parabola andparaboloid. It has no complex iterative optimization formula, process simply, canobtain optimal solution of error and axis of symmetry when included by minimum areaof parabola and paraboloid, and can make it available that minimum area errorevaluation of parabola and paraboloid profile.