Gap theorems for Lagrangian submanifolds in complex space forms

Geometriae Dedicata - Inspired by a recent work of Grove and Petersen (Alexandrov spaces with maximal radius, 2018), where the authors studied positively curved Alexandrov spaces with largest...     

Changes in the spectrum of Gaussian Schell-model beams propagating through turbulent atmosphere

Based on the extended Huygens-Fresnel principle, the spectrum of Gaussian Schell-model (GSM) beams propagating through turbulent atmosphere is derived analytically. It is shown that, if the scaling law is valid, the normalized spectrum S(ω) of GSM beams propagating through turbulent atmosphere is the same as the normalized source spectrum S⁽⁰⁾(ω), whether GSM source is quasi-homogenous or not. On the other hand, if the scaling law fails, S(ω) of GSM is different from S⁽⁰⁾(ω). The structure constant of the refractive index, transverse coordinate of observation point and spatial correlation length of the source affect the spectrum, which is illustrated numerically.     

Spreading of spatially partially coherent polychromatic beams in atmospheric turbulence

Taking the polychromatic Gaussian Schell-model (GSM) beam as a typical example of spatially partially coherent polychromatic beams, the spreading of polychromatic GSM beams in atmospheric turbulence is studied. The mean-squared width of polychromatic GSM beams in turbulence is derived by using the effective source and the strong fluctuation models. It is shown that the same result is obtained using both the models. The diffraction, atmospheric turbulence and beam polychroism result in a spreading of polychromatic GSM beams. If the scaling law fails, the spreading of polychromatic GSM beams increases with increasing bandwidth Γ, but the influence of Γ on the spreading of polychromatic GSM beams becomes small as the structure constant C_n² of the refractive index and spatial correlation parameter α increase. The spreading of polychromatic GSM beams increases as C_n² increases and α decreases. Spatially partially coherent polychromatic beams are less sensitive to the effects of atmospheric turbulence than spatially fully coherent polychromatic beams.     

基于Levenberg-Marquardt算法的大型非球面镜轮廓数据处理方法

大型非球面镜通过加工 检测 再加工 再检测的制造工艺以满足面形精度要求,根据检测后的轮廓数据准确评定面形是提高再加工精度的关键。为解决抛光前镜面的面形评定问题,采用基于信赖域法则的Levenberg Marquardt算法对参数进行拟合、误差补偿以及面形评定。利用Code V仿真分析算法性能,构建大型非球面轮廓仪测试抛物面加工件,对实测数据经过32次迭代得到元件参数及轮廓残差曲线,收敛精度为1.1610-21。实验表明:该算法可对大型非球面镜轮廓数据进行高效准确的拟合、评定,为进一步提高再加工精度提供可靠依据。     

Color‐Oscillating Photonic Crystal Hydrogel

In this work, a color‐oscillating system is first developed by combining the intrinsic peristaltic motion of a Landolt pH‐oscillator with the structure color of a well‐designed pH‐sensitive photonic crystal hydrogel. As a result, the pH oscillation reaction procedure could be distinctly monitored by the distinct change of structure color/optic signal. The oscillation rhythm of the pH well coincides with that of the stopband/structure color. The oscillation detail of each cycle can also be clearly monitored by color change. This work would be of great significance for the promising applications of real‐time monitoring of the microactuator by optical signal or structure color.

     

大承载气浮回转工作台的调心技术

为了实现大口径光学元件表面轮廓的高精度测量,提出了一种大承载气浮回转工作台的调心技术,并研制了一套具有偏心自动调整功能的测控系统。该系统主要由精密气浮回转轴、台达PLC、数显千分表和轮廓仪工作台组成。利用VC++的PLC串口通讯和偏心调整软件的控制,实现了轮廓仪的自动调心功能。