Because of the variety of aspheres and different requirements of dimension and precision , the testing of asphere is more difficult and complex than that of sphere 非球面的种类繁多，尺寸、精度要求各异，其检测方法远比球面复杂和困难。
Because of the variety of asphere and the different requirements of dimension and precision , the testing of asphere is more difficult and complex than that of sphere 非球面的种类繁多，尺寸、精度要求各异，其检测方法远比球面复杂和困难。
But the domestic ultra - precision machining of aspheric surface , especially the large - scale aspheric surface , is just the same as blank , which has no systemic research 而国内非球面特别是大型非球面的超精密加工还是空白,还没有形成系统的研究。
The article not only presents the first , second and third elemental form of pseudo sphere , but also the third elemental form of conoid and curve 摘要不但给出了伪球面的第一基本形式、第二基本形式及第三基本形式，而且给出了一般曲面的第三基本形式。
By calculation to fact examples , we confirmed the reliability of that testing method , and make comparison with the method of compensation reflection inside the asphere 通过实例计算验证了该检验方法的可靠性，并与内部反射补偿检验非球面的方法进行了比较。
Several test results of other , nff - axis aspheric mirrors are also given . all of the mirrors have accuracy better than 1 / 40x , and have fulfilled the demands by designer 实践证明，本文的研究适用于大口径离轴非球面反射镜的加工，有效地提高了非球面的加工效率和精度水平。
Based on the characteristics of rotary symmetrical aspheric surface , tracks programming algorithm is given , the 2 - dimension removal function is reduced into 1 - dimension , finally the dwell time algorithm is presented 针对气囊抛光加工回转对称非球面的特点，进行抛光路径规划，对去除函数进行降维处理，提出抛光驻留时间的计算方法。
The colorful marble balls are spinning under the force of running water and their faces are more beautiful under electric lights . the analysis and research on stone balls have not caused enough attention in the world 它是用具有一定色彩的大理石球体在水力驱动下旋转，球面的水膜在灯光的映射下呈现出动态的美感，配合假山、喷泉、音乐等，给人以艺术的享受。
After online debugging and experimenting , the surface error of 0 . 35 m p - v is achieved in short polishing cycle time . this optical cad / cam integrating manufacture provides a practical approach to mass production and popularization of aspheric optics 最后在光学加工设备上联机调试，试验非球面的制造，在较短的加工周期中获得面形pv值达0 . 35 m的高精度非球面表面。
In addition , the finite element method ( fem ) was introduced , and we verified above formulas by this method . another important work of this paper is to discuss the principle of choosing the best fitting sphere for ultra thin mirrors 本文的另一主要内容是讨论了选择超薄镜最接近球面的原则,分析了以非球面变化梯度法作为选择原则的原因,并根据实例给出了计算结果。
