Research On Shaping Reflector Synthesis Technology Based On Non-Uniform Rational B-Splines

With the development of B5G and 6G wireless communication,the demand for high-frequency compact fields in China is increasing.The compact fields in the millimeter wave and submillimeter wave frequency bands are still in their early stages,and many key technologies urgently need to be broken through.Among them,the design and manufacturing of shaped mirrors have become particularly important.This article takes the non-uniform rational B-spline technique as the theoretical guidance to conduct a scientific exploration of the design of high-frequency compact field shaped mirrors.The specific work content is as follows:1.Innovative application of non-uniform rational B-spline technology in shaping surface synthesis for high-frequency electromagnetic wave compact field measurement has achieved an increase in the utilization rate of static zone geometric aperture from 80%to 90%.The paper elaborates on the modeling,stacking,and other processes of uniform rational B-spline technology,and proposes a nine-grid structure of NURBS(Non-Uniform Rational B-Splines)base surfaces based on this.From the perspective of physical optics,the isometric relationship followed by designing a three-reflector compact field system based on uniform rational B-spline technology is presented.By iterating and recursing unknown variables on the shaped mirror,the theoretical generalization from special to general is completed,and the non-uniform sampling shaped mirror design is achieved.Static zone simulation verification is conducted at four frequency points:75GHz,100GHz,300GHz,and 500GHz.Without mirror edge processing,the performance of the three-reflector compact field system within 100GHz to 500GHz meets the requirements of amplitude jitter within±1dB,phase jitter within± 5°,and the utilization rate of static zone geometric aperture can reach 90%.2.The classification and discussion of the energy attenuation function at the edge of the static zone were focused,and it was applied in the design of the contoured surface type three anti compact field system,greatly reducing the amplitude and phase jitter of the static zone.In response to the problem of optimizing the shaped mirror edge of the compact field system,this article introduces the concept of the energy attenuation function of the static zone edge.Three types of attenuation functions,Gaussian,polynomial,and cosine roll off,are adaptively detected at the 75GHz frequency point.The one-dimensional attenuation function is then extended to two-dimensional and combined with non-uniform rational B-spline technology to ultimately design a three reflective surface compact field system that meets theoretical requirements.Within the 100GHz 500GHz frequency band,its performance meets the requirements of amplitude jitter within±0.5dB,phase jitter within±3°,and the utilization rate of static zone geometric aperture can reach 90%.