Optical polishing can accurately correct the surface error through controlling the dwell time of the polishing tool on the element surface. Thus, the precision of the trajectory and the dwell time (the runtime of the trajectory) are important factors affecting the polishing quality. This study introduces a systematic interpolation method for optical polishing using a non-uniform rational B-spline (NURBS). A numerical method for solving all the control points of NURBS was proposed with the help of a successive over relaxation (SOR) iterative theory, to overcome the problem of large computation. Then, an optimisation algorithm was applied to smooth the NURBS by taking the shear jerk as the evaluation index. Finally, a trajectory interpolation scheme was investigated for guaranteeing the precision of the trajectory runtime. The experiments on a prototype showed that, compared to the linear interpolation method, there was an order of magnitude improvement in interpolation, and runtime, errors. Correspondingly, the convergence rate of the surface error of elements improved from 37.59% to 44.44%.

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Based on physics of micro-cavity and quantum well, the spontaneous emission spectra and spontaneous emission lifetime in the vertical cavity surface emitting laser have been calculated. It is found that the minimum spontaneous emission lifetime is the main reason that the vertical cavity surface emitting laser can realize high\|modulation response after the transfer function of the semiconductor laser is studied.

The goal of this work consists in determination of similarities and differences of cognitive scenario of “school attendance” in linguistic consciousness of the Russians and Chinese. The linguistic terms “concept”, “scenario”, and “frame” are clarified. Comparison is conducted on lexicographic meanings of lexical units 学生 and ‘student’. The author analyzes the associative fields of ’学生 – ‘student’, 小学 – ‘elementary school’, 中学 – ‘middle school’, and ‘school’; compares the scenarios of “school attendance” in Russia and China. The relevance of this work is substantiated by the trend of strengthening of cooperation and exchange in the sphere of education between Russia and China. Cognitive analysis of associative field allows reconstructing the concept as a unit of individual mental lexicon, and cultural phenomenon. The concept is defined as a core meaningful unit of memory, mental lexicon, conceptual scheme of the entire worldview reflected in a human psyche. The frame is a special type of cognitive model, which represents knowledge belonging to either specific or common situations; while scenarios are the structures of knowledge particularly designated for recurrent sequence of events. The article applies a free association experiment that is one of the means of externalization of linguistic consciousness. The scientific novelty lies in selection of the relevant, but insufficiently explored topic – the comparative study of cognitive structures in the sphere of education of Russia and China. As a result, the author determined the differences in cognitive scenario of “school attendance” in linguistic consciousness of Russian and Chinese students. The differences consists in the following: 1) school uniforms; 2) distance between school and home; 3)requirements for physical training of the students (Chinese students to morning exercises, some activities between the lessons, and eye exercises; 4) ceremonies and rituals (on Mondays, Chinese schools do the national flag-raising ceremony; and welcoming ritual at the beginning of each lesson); 5) and length of the education process. The acquires results may be valuable in further comparative study of Russian and Chinese educational discourse.