无光焦度3贴合薄透镜组初始结构参数求解方法探讨

3透镜无光焦度校正板由3个单透镜组成,可以用来校正光学系统中其他光学元件引入的像差.本文运用三级像差理论分析了3透镜无光焦度校正板的像差特性,给出了一种求解3透镜无光焦度校正板参数的计算方法,得出了相应的计算公式,并通过具体的计算实例验证了这些公式的正确性.     

An exponential time differencing method of lines for the Burgers and the modified Burgers equations

A second–order exponential time differencing scheme using the method of lines is developed in this article for the numerical solution of the Burgers and the modified Burgers equations. For each case, the resulting nonlinear system is solved explicitly using a modified predictor‐corrector method. The efficiency of the method introduced is tested by comparing experimental results with others selected from the available literature.     

Optimising response of liquid crystal corrector with digital overdriving technique

Digital overdriving technique is used to enhance response performance of liquid crystal device for wave front correction, combined with electro-optic effect. Generally, using phase wrapping technique, liquid crystal wave front correction only needs 1λ phase retardation. In this new driving scheme, it was increased to 1.2λ and only the phase retardation from 0 to 1λ was used for real correction. Different from conventional method, transition grey level is needed for each grey level as to accelerate its response. This method could enhance the response time up to 50% and unify all the grey-to-grey responses to one equal value. It can be easily implemented into every conventional Liquid Crystal devices without any additional hardware modification. A liquid crystal on silicon device with synthesised liquid crystal material by our lab was used to demonstrate its feasibility. After optimisation, the response time was reduced from nearly 3.3 ms down to 1.55 ms.     

An efficient explicit/implicit domain decomposition method for convection‐diffusion equations

A nonoverlapping domain decomposition method for some time‐dependent convection‐diffusion equations is presented. It combines predictor‐corrector technique, modified upwind differences with explicit/implicit coupling to provide intrinsic parallelism, and unconditional stability while improving the accuracy. Both rigorous mathematical analysis and numerical experiments are carried out to illustrate the stability, accuracy, and parallelism. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010     

The study of correction for chromatic aberrations of human eye with diffractive–refractive hybrid elements

A chromatic corrector with two refractive–diffractive hybrid elements is designed over a reasonable wide field-of-view of 7° to correct the chromatic aberrations of human eye. We investigate the performance of the corrector using several optical criteria in a comparison with the chromatic corrector with single refractive–diffractive element. Both the correctors can correct the longitudinal chromatic aberration (LCA) fairly. It is demonstrated that the chromatic corrector with single element introduces serious eccentric transverse chromatic aberration (TCA), which deteriorates the image quality at the edge field-of-view. On using the chromatic corrector with two refractive–diffractive elements, not only the LCA but also the TCA can be corrected very well. The designed chromatic corrector can be used to improve the retinal image quality and has potential application in the design of visual instruments.     

一种带有无光焦度校正板的牛顿光学系统的设计

无光焦度校正板自身无色差和像面弯曲,并具有弯曲PW和光焦度φ₁₁及φ₁₂等变数,为光学系统的像差校正提供了很大的方便。以系统通光孔径Φ=300mm,相对孔径A＝1/2,光阑位置l_p2/f=-0.75,主镜为球面反射镜为例,设计了一种带有无光焦度校正板且光阑在主反射镜前的牛顿光学系统。通过对光学系统进行光线计算、像差分析和优化,得到校正板透镜最佳光焦度φ₁₁＝5,优化后的轴上点波前像差W＝0.0001λ。     

2kW有源功率因数校正电路设计

有源功率因数校正可减少用电设备对电网的谐波污染,提高电器设备输入端的功率因数。详细分析有源功率因数校正APFC(active power factor corrector)原理,采用平均电流控制模式控制原理,设计一种2 kW有源功率因数校正电路。实验结果表明:以TDA16888为核心的有源功率因数校正器能在90～270 V的宽电压输入范围内得到稳定的380 V直流电压输出,功率因数达0.99,系统性能优越。     

Numerical algorithm for the time fractional Fokker–Planck equation

Anomalous diffusion is one of the most ubiquitous phenomena in nature, and it is present in a wide variety of physical situations, for instance, transport of fluid in porous media, diffusion of plasma, diffusion at liquid surfaces, etc. The fractional approach proved to be highly effective in a rich variety of scenarios such as continuous time random walk models, generalized Langevin equations, or the generalized master equation. To investigate the subdiffusion of anomalous diffusion, it would be useful to study a time fractional Fokker–Planck equation. In this paper, firstly the time fractional, the sense of Riemann–Liouville derivative, Fokker–Planck equation is transformed into a time fractional ordinary differential equation (FODE) in the sense of Caputo derivative by discretizing the spatial derivatives and using the properties of Riemann–Liouville derivative and Caputo derivative. Then combining the predictor–corrector approach with the method of lines, the algorithm is designed for numerically solving FODE with the numerical error O(k^min{1+2α,2})+O(h²), and the corresponding stability condition is got. The effectiveness of this numerical algorithm is evaluated by comparing its numerical results for α=1.0 with the ones of directly discretizing classical Fokker–Planck equation, some numerical results for time fractional Fokker–Planck equation with several different fractional orders are demonstrated and compared with each other, moreover for α=0.8 the convergent order in space is confirmed and the numerical results with different time step sizes are shown.     

Validity of nonlinear geometric optics with times growing logarithmically

The profiles (a.k.a. amplitudes) which enter in the approximate solutions of nonlinear geometric optics satisfy equations, sometimes called the slowly varying amplitude equations, which are simpler than the original hyperbolic systems. When the underlying problem is conservative one often finds that the amplitudes are defined for all time and are uniformly bounded. The approximations of nonlinear geometric optics typically have percentage error which tends to zero uniformly on bounded time intervals as the wavelength tends to zero. Under suitable hypotheses when the amplitude is uniformly bounded in space and time we show that the percentage error tends to zero uniformly on time intervals which grow logarithmically. The proof relies in an essential way on the fact that one has a corrector to the leading term of geometric optics.

     

时基校正器／帧同步机在电视台播控中心的应用

着重论述了的时基校正器夕帧同步机的工作原理及时基误差产生的主要原因，简要说明了帧同步机与时基校正器的区别，另外还概述了时基校正器／帧同步机的性能指标、分类及应用。