三角形旁切圆的几个几何恒等式

关于三角形的内切圆有这样一个几何恒等式:引理1[1] 设I是△ABC的内切圆的圆心,则下列等式恒成立:IA2/AB·AC+IB2/BA·BC+IC2/CA·CB(1)该命题的证明见文[1].在文[1]中作者巧妙的运用了面积证法从而得到引理1.试想,将引理1中的“内切圆”推广到“旁切圆”,是否仍有类似相关的几何恒等式成立?于是得到下述命题:     

Signal processing for noncoherent underwater acoustic communication approaching channel capacity

Noncoherent underwater acoustic communication channel in adverse conditions is modeled as a phase-random Rayleigh fading channel,and its capacity curve is derived.To approach the channel capacity curve,the concatenated code of the nonbinary LDPC code and the constant weight code is proposed for noncoherent communication which can late be iteratively decoded in the probability domain.Without information of channel amplitude or phase in the receiver,statistic parameters of the respective signal and noise bins were estimated based on the moment estimation method,the posterior probabilities of the constant weight code words were further calculated,and the nonbinary LDPC code was decoded with the nonbinary factor graph algorithm.It is verified by simulations that by utilizing the proposed concatenated code and its processing algorithm,gap to channel capacity curve is reduced by 3 dB when compared to the existing method.Underwater communication experiments were carried out in both deep ocean（vertical communication,5 km）and shallow lake（horizontal communication,near 3 km,delay spread larger than 50 ms）,in which the signal frequency band was 6 kHz to10 kHz,and the data transmission rate Was 357 bps.The proposed scheme can work properly in both experiments with a signal-to-noise ratio threshold of 2 dB.The performance of the proposed algorithm Was well verified by the experiments.     

Coherent Beam Combination Using a General Model-Based Method

Coherent beam combination techniques can increase the output laser power from a single gain medium. We demonstrate coherent beam combination using the general model-based wavefront error correction method. The experiments for wavefront error correction are performed by using a 7-segment deformable mirror. Both the gen- eral model-based method and the stochastic parallel gradient descent algorithm are used to correct the wavefront error generated by a turbulent simulator. The experimental results show that the residual error is obviously reduced in comparison with that by using the SPGD method.     

All fiber pulsed coherent lidar development for wind profiles measurements in boundary layers

An all fiber pulsed coherent Doppler lidar(CDL) system at 1.54 μm wavelength is developed for wind profiles measurements. This lidar affords 43.0-μJ pulse energy at 10-kHz pulse repetition frequency with500-ns pulse width. The lidar is operated in monostatic mode with 50-mm diameter telescope. The heterodyne mixing signals are acquired with 500 M/s analog to digital converter and 2048 points fast Fourier transform(FFT) is implemented. Line of sight wind speeds are measured with more than 3.0-km range in a horizontal direction and about 1.9 km in the vertical direction with 75-m range resolution.Systematic error of speed measurement of 0.2 m/s is validated.     

利用原子干涉方法来制备压缩相干迭加态

在文中我们提出了一种基于原子干涉的方法产生压缩相干迭加态，由此方法产生的迭加态的位相及权重因子均可控制。     

X射线激光器——新兴的短波长相干光源

Ｘ射线激光器是运行在电磁辐射波谱中Ｘ射线波段的短波长相干光源，通常，Ｘ射线激光器都采用高功率激光器作为泵浦源，强激光与靶相互使用形成的高温等离子体作为工作介质，并采用单程（或双程）行波放大的运行方式，近１０年来，Ｘ射线激光器的研制工作取得了重大进展，并开始了Ｘ射线激光应用的初步研究，现在正朝着提供高亮度，有较好相干性并且价格便宜的小型短波长Ｘ光光源的目标努力。     

用振荡偶极子模型计算能级寿命

对能级寿命的物理意义作了较全面的阐述，并运用半径费、半量子理论近似，采用振荡偶极子模型对能级寿命进行了计算，所得结果与各种文献所用结论十分一致。     

相干衍射成像的相位复原及重建

相干衍射成像是一种对材料体密度敏感的超高分辨成像技术。相较于传统表面敏感的超高分辨成像技术,相干衍射成像利用了硬X射线的强穿透能力,可以深入材料体内部进行成像,且成像分辨能力可以根据成像布局进行调整,最高达到原子级空间分辨能力。这种灵活的空间分辨调整依赖于相干衍射成像独特的相位复原技术,即通过对图像成像强度的过采样,利用含约束的迭代算法同时获得光场的强度及相位,进而对样品进行重建;同时结合图像定向及组合技术,相干衍射成像可以实现对样品的三维重建。本文主要从成像原理、复原算法和重建方法介绍相干衍射成像技术,并结合实验进展及模拟研究展示该技术在多种重建情形下具备的诊断能力,以期较为全面地给出相干衍射成像技术的发展趋势。