An efficient algorithm for strongly focused optical beams propagating in Kerr media

Due to the lens-induced quadratic phase factor from converging lens, the beam-propagation method (BPM) is computationally expensive in simulations by the sampling theorem for lens-induced strongly focused beams propagating in nonlinear media. In the paper, we present a modified approach (MA) based on the separate envelope and lens-induced phase to only compute the envelope in the whole focal region. Then we demonstrate the correctness of MA analytically by the propagation of focused Gaussian beam and numerically by that of focused Super-Gaussian beam in linear media. Numerical simulations of strongly focused beams based on MA are in good agreement with those of BPM when propagating in Kerr media. The sampling requirement of MA which is similar with no lens-induced phase beam is lower than that of BPM which increases with the lens-induced chirp parameter and the propagation distance. Thus the computational efficiency can be greatly improved.     

具非局部条件的半线性发展方程的可控性

本文使用Schaefer不动点定理和强连续算子半群理论,建立了抽象空间中具非局部条件的半线性发展方程解的可控性,得到了可控性的充分条件.文末用例子说明了所得结果.     

MULTIPLE POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEM FOR A SYSTEM OF NONLINEAR THIRD ORDER DIFFERENTIAL EQUATIONS

This paper is concerned with the boundary value problem for a system of nonlinear third order differential equations. Under some suitable conditions, the existence and multiplicity of the positive solutions are established by using abstract fixed-point theorems.     

浅海舰船噪声声强流的垂直方向性

浅海环境中,确定性声源的多途声信号干涉使得接收点处声强流的方向发生改变,不再与声源位置处的声强流方向一致。只测量声场的标量声强时,无法得到接收点处声强流的垂直方向性,而基于简正波矢量场建模和仿真,可获得理想条件下宽带点声源激发声场声强流的垂直方向性。本文采用单矢量水听器进行海上实验,获得了海洋环境噪声和干扰条件下舰船噪声声强流的垂直方向性。仿真和实验结果表明:远场条件下,浅海干涉现象引起接收点处声强流的方向(极角)随频率和距离变化,其时间-频率分布呈现与LOFAR谱干涉条纹相似的条纹,声强流的极角值主要分布在70?～110?范围内。     

利用浅海声场干涉条纹反演海底参数方法研究

浅海频散特性导致声场在距离-频率平面形成干涉条纹,该干涉条纹蕴含着声源以及海底信息。本文通过降噪、滤波等方法,提取船舶辐射噪声干涉条纹中距离域干涉准周期、波导不变量以及去扩展衰减系数(不考虑扩展损失后接收到噪声级随距离的衰减程度)三种特征量的观测值,基于无限均匀沉积层海底模型,采用简正波计算程序理论计算上述三种特征量作为拷贝,提出一种以模拟退火法作为搜索寻优策略的新的匹配反演海底参数的方法。海试数据处理结果表明,该方法反演估计所得海底密度、声速、衰减系数三参数用于浅海负跃层条件下的声场预报效果比较良好。     

F在硫化态NiW/γ-Al2O3催化剂中的作用

Ｆ改性的γＡｌ２Ｏ３（Ｆ／Ａｌ２Ｏ３）广泛用作加氢、裂化和异构化等反应的催化剂或载体［１］．在γＡｌ２Ｏ３表面引入氟能显著改善其对上述反应的催化活性，并影响金属组分在γＡｌ２Ｏ３载体上的分散状态及相互作用．但迄今为止，文献中对氟的作用仍众说纷纭...     

MULTIPLE PERIODIC SOLUTIONS TO SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATION WITH INFINITE DELAY

This paper is concerned with the existence of positive periodic solutions to a second order functional differential equation with infinite delay.Under the appropriate conditions,some existence and multiplicity of positive periodic solutions are derived by an abstract fixed-point theorem.     

南海夏季海洋环境噪声与海面风速相关特性分析

海洋环境噪声是影响潜艇作战及远程目标探测和定位的重要参数,由于海洋环境噪声具有很强的时空变异性,因此只能通过试验数据测量和处理了解环境噪声的统计特性。本文以2013年4月30日至8月1日,南海典型海域布放海洋环境噪声测量潜标系统所收录的环境噪声为研究对象,数据处理结果表明,在整个频率范围内,海洋环境噪声与对数风速具有很好的线性关系,但环境噪声随风速变化的斜率与频率相关,在1kHz附近达到最大值。本文通过波束形成分析了海洋环境噪声的垂直指向性,并给出了“垂直方向噪声”、“水平方向噪声”和“全向噪声”与风速相关性分析结果,可以看出,在风浪噪声与远处航船噪声都有贡献的中频段,“垂直方向噪声”与海面风速的相关性好于“全向噪声”和“水平方向噪声”与海面风速的相关性,且“垂直方向噪声”随风速变化的斜率略大于“全向噪声”随风速变化的斜率。     

串联双釜连续反应装置中Ru-Co-B/ZrO2上苯选择加氢制环己烯

采用化学还原法制备了苯选择加氢制环己烯催化剂Ru-B/ZrO₂,考察了Cr,Mn,Fe,Co,Ni,Cu和Zn等过渡金属的添加对Ru-B/ZrO₂催化剂性能的影响.结果表明,这些过渡金属的添加均可提高Ru-B/ZrO₂催化剂中的B含量.B的修饰及第二种金属或金属氧化物的集团效应和配位效应导致Ru-B/ZrO₂催化剂活性降低和环己烯选择性升高.当Co/Ru原子比为0.06时,Ru-Co-B/ZrO₂催化剂上反应25min苯转化率为75.8%时,环己烯选择性和收率分别为82.8%和62.8%.在双釜串联连续反应器中和优化反应条件下,Ru-Co-B/ZrO₂催化剂使用419h内苯转化率稳定在40%左右,环己烯选择性和收率分别稳定在73%和30%左右.     

MULTIPLE POSITIVE SOLUTIONS FOR SINGULAR BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN

This paper is concerned with the existence of positive solutions to singular boundary value problems of functional differential equations with p-Laplacian. Under the suitable conditions,the existence of three positive solutions is esta- blished by using an abstract fixed point theorem.