基于调制传递函数相似度的波前编码系统优化技术

定义了调制传递函数相似度作为优化波前编码系统的评价函数,并在光学设计过程中通过引入数学软件实现了波前编码系统的快速优化。在优化过程中,通过引入数学软件与光学设计软件的动态数据交换接口实现了优化函数的快速计算和高速数据交换,并通过采用遗传算法加快了评价函数收敛速度。经过优化系统调制传递函数相似度由原来的0.0187降为0.0119,且调制传递函数幅值均高于0.18,处于设定的范围内。研究结果表明动态数据交换和外部程序的引入可以进一步提高具有特殊性质的非常规光学系统优化效率。     

GRADIENT ESTIMATES AND ENTROPY FORMULAE FOR WEIGHTED p-HEAT EQUATIONS ON SMOOTH METRIC MEASURE SPACES

Let （M,g, e^-fdv） be a smooth metric measure space. In this paper, we con- sider two nonlinear weighted p-heat equations. Firstly, we derive a Li-Yau type gradient estimates for the positive solutions to the following nonlinear weighted p-heat equationand f is a smooth function on M under the assumptionthat the m-dimensional nonnegative Bakry-Emery Ricci curvature. Secondly, we show an entropy monotonicity formula with nonnegative m-dimensional Bakry-Emery Ricci curva- ture which is a generalization to the results of Kotschwar and Ni [9], Li [7].     

理解电子波性的教学探讨

波性是原子或分子中电子的重要性质,但结构化学教材对电子波性概念的解释不够详尽。为降低学生在学习该概念时的难度,结合教学实践,尝试将电子波性的物理特征描述为微观环境中电子的运动没有确定的轨迹。通过详细的分析与讨论,多数学生较好地理解了电子波性的物理特征,并认识到正是电子的波性与粒性在不同条件下的转换,才产生了能同时体现出电子波粒二象性的衍射图谱。     

1+1/2对转涡轮高压动叶气膜冷却数值研究

对1 1/2对转涡轮高压动叶设计了冷却方案,在高压动叶前缘滞止线,压力面和吸力面分别开设了冷却孔,并对冷却方案进行了三维数值模拟.为了研究变工况下,高压动叶气膜冷却性能,对三种典型的工况进行了详细的数值模拟.研究了不同转速对高压动叶前缘冷却效果的影响,以及吹风比对高压动叶前缘气膜冷却效果的影响;给出了前缘、压力面、吸力面冷气射流的流动特征;分析了冷气喷射对高压动叶型面马赫数,型面压力的影响.最后探讨了高压动叶吸力面后部70%轴向弦长处冷气喷射对高压动叶通道内波系结构的影响.     

非定常机匣处理扩稳实验研究

针对一种非定常处理机匣,在轴流风扇实验台上开展偏流吹气扩稳实验研究.主要包括t改善风扇稳定裕度的稳态特性;影响失速先兆波产生及发展的动态分析.结果表明:非定常机匣处理能够在不同工作转速下对风扇稳定裕度有显著效果,效率没有明显改变.偏流吹气可以进一步改善风扇稳定裕度,但同时也会带来一定的效率损失.动态分析证实处理机匣没有阻止失速先兆波的出现.而是有效地抑制了其非线性发展.     

四区域法消除偏振棱镜缺陷对波片相位延迟测量的影响

在起偏器-待测波片-检偏器系统基础卜提出一种四区域测量波片相位延迟量的方法.调整待测波片和检偏器的方位角,获得相应的四组光强值,通过线性运算得到待测波片的相位延迟量,完全消除了起偏器和检偏器不完全消光带来的误差.由于测量系统中不存在标准波片或其他相位调制元件,允许测量波长仅受偏振棱镜和探测器的限制,因此四区域法可适用于很大波长范围内的波片测量.以λ/4波片为例,理论分析了测量系统利用四区域测量法后的仪器误差为σφ≤士3.49065×10-3rad(约0.2°),精度比原算法提高约1个数量级.实验验证了四区域法能有效提高系统精度.     

Hybrid Deconvolution of Adaptive Optics Retinal Images from Wavefront Sensing

Adaptive optics can be used to compensate for the wave aberration of the human eyes to achieve high-resolution imaging in real time. However the correction ＆ partial due to the limitation of hardware. We propose a kind of hybrid image post-processing method, which uses the blind deconvolution combined with the residual data in wavefront sensor to restore the partially adaptive optics corrected retinal image. This method is applied in the image restoration of the vivid human retinal images. The results show that it is effective to improve the retinal image quality.     

Asymptotic Analysis of Vertical Branch-Cut Integral of Shear Waves in a Fluid-Filled Borehole Utilizing the Steepest-Descent Method

We obtain an asymptotic solution to the vertical branch-cut integral of shear waves excited by an impulsive pressure point source in a fluid-filled borehole, by taking the effect of the infinite singularity of the Hankel functions related to shear waves in the integrand at the shear branch point into account and using the method of steepest-descent to expand the vertical branch-cut integral of shear waves. It is theoretically proven that the saddle point of the integrand is located at ks-i/z, where ks and z are the shear branch point and the offset. The continuous and smooth amplitude spectra and the resonant peaks of shear waves are numerically calculated from the asymptotic solution. These asymptotic results are generally in agreement with the numerical integral results. It is also found by the comparison and analysis of two results that the resonant factor and the effect of the normal and leaking mode poles around the shear branch point lead to the two-peak characteristics of the amplitude spectra of shear waves in the resonant peak zones from the numerical integral calculations.     

Two-Dimensional Laguerre--Gaussian Asymmetric Soliton Family in Strongly Nonlocal Media

We demonstrate the existence of a broad class of higher-order Laguerre Gaussian asymmetric spatial optical solitons in strongly nonlocal nonlinear media. Furthermore, we discuss specific values （q = 0） of the modulation depth parameter for different rational values of the topological charge in detail. Our results show that higherorder asymmetry spatial sofiton family can exist in various forms, such as two-dimensional defect haff-solitons, asymmetric single-layer and multi-layer necklace solitons.     

Property of Image-Object Using TE/TM-polarized Wave in the Near-Field Optics with CCGM-FFT

Discretization of the Lippmann-Schwinger integral equation with complex conjugate gradient method and fast Fourier transform （CCGM-FFT） is solved, which can reduce the memory storage and the CPU time compared with the traditional method, MOM. Thus objects with large size and multiple scattering objects could be simulated with CCGM-FFT. The total intensity and the distribution of each field component of the dielectric and metallic objects under the excitation of the TE//TM-polarized wave are calculated with photon scanning tunnelling microscopy （PSTM） at the constant height. The simulating results are analysed and explained reasonably. The results show that the polarization plays an important role for imaging of PSTM.