Chaotic dynamics of active optical fiber ring resonator with optical injection

We experimentally obtain the route from period doubling to chaos in an active optical fiber ring resonator （AOFRR） with optical injection. The results show that the AOFRR is sensitive to external optical injection and demonstrate various dynamic characteristics. Meanwhile, the change of the injection strength can cause the output of the AOFRR to become periodic or chaotic. It can be confirmed that all the dynamic characteristics of the system are due to the interaction of the semiconductor laser with the erbium-doped fiber amplifier （EDFA）.     

税收优惠、研发投入与企业绩效——基于中介效应的实证研究

基于"税收优惠-行为-经济后果"的研究范式,利用2012-2016年191家高新技术企业上市公司的面板数据,以研发投入为中介变量,研究税收优惠对企业绩效的影响关系,并探索研发投入的中介效应.实证结果显示:税收优惠对企业绩效和研发投入均产生显著正向影响;企业研发投入在税收优惠与企业绩效之间具有部分中介效应.因此,高新技术企业应当有效利用税收优惠政策,增大研发力度以提升绩效水平.     

关于合成矩阵的几个性质

利用合成矩阵的概念和翻转矩阵的技巧,结合矩阵的次转置、次自共轭,中心对称等相关情况给出合成矩阵的几个性质,并获得关于n阶翻转矩阵的第n-1个合成矩阵的表达式.     

DFT Study of Oxygenated Organic Pollutants Catalyzed by Molybdenum Oxides: Comparison of Reaction Mechanisms of MoO_x + HCHO(x = 1, 2, 3)

The reaction mechanisms between formaldehyde and MoO_x(x = 1, 2, 3) have been studied thoroughly in this paper. Five reaction pathways were found in three reactions(reactions Ⅰ to Ⅲ) through studying the mechanisms of MoO_x(x = 1, 2, 3) catalyzing formaldehyde. Different products were obtained from three reactions. Of all three reactions, the barrier energy of Route ⅡA is the lowest(4.70 kcal/mol), which means in MoO_x(x = 1, 2, 3), MoO_2 has the best catalytic effect. Compared with other similar non-toxic treatments of formaldehyde, our barrier energy is the lowest. In this research, there was no good leaving group of the compound, so the mechanisms are addition reaction. We speculate that there must be an addition reaction to the more complex reactions to molybdenum oxides and aldehydes. As a chemical reagent for removing formaldehyde, it only absorbs formaldehyde and does not emit other toxic substances outward. Molybdenum oxides retain its original structures of the final products, which means it has excellent stability in the reaction of MoO_x(x = 1, 2, 3) + HCHO. The mechanisms of all three reactions are addition reactions, but they are entirely different. As the number of oxygen atoms increases, the reaction mechanisms become simpler.     

空间望远镜分块式主镜共相位调整的优化算法研究

以应用主动控制系统进行分块镜共相位调整的大口径空间望远镜为研究对象,分析了分块式主镜致动器位移与相位误差之间的对应关系以及共相位调整的目标。研究采用一种求解非线性约束问题的序列二次规划法优化求解主镜致动器的位移控制指令,校正分块式主镜相位误差。数学仿真结果表明,应用序列二次规划法对分块式主镜进行共相位调整优化,控制精度得到了很大地提高。     

1-（4-硝基苯基）-3-（4,6-二甲基-2-嘧啶）-三氮烯的合成及其与锌（Ⅱ）的显色反应

合成了一种新显色剂1-(4-硝基苯基)-3-(4,6-二甲基-2-嘧啶)-三氮烯(简称NPDMPMT),并研究了在非离子型表面活性剂Triton X-100存在下,于pH为11.0的Na2B4O7-NaOH缓冲溶液中与锌(Ⅱ)的显色反应.结果表明.Zn与试剂NPDMPMT形成1:2的橙黄色配合物,在456nm处有一最大正吸收,在530nm处有一最大负吸收,建立以530nm为参比波长,456nm为测量波长的双峰双波长测定法,其表观摩尔吸光系数为3.16×105L·mol-1·cm-1,锌(Ⅱ)浓度在0-8.0μg/25mL范围内符合比耳定律.方法用于人发中微量锌的测定,结果令人满意.     

四种次磷酸盐的合成

合成了次磷酸钙、次磷酸铁、次磷酸钡、次磷酸锌4种次磷酸盐，产率依次为94.7%、 98.1%、80.6%、 60.3%，粒径2~4 μm，其结构经SEM、 IR和电感耦合等离子体原子发射光谱(ICP)确证。      

暗怪波的相互作用

以耦合非线性薛定谔方程为理论模型,数值研究了两个一阶暗怪波在正常色散单模光纤中的相互作用.基于一阶暗怪波精确解,采用分步傅里叶数值模拟法,从间距、相位差和振幅系数比方面讨论相邻两个一阶暗怪波之间的相互作用.基于二阶暗怪波精确解,讨论了两个一阶暗怪波的非线性相互作用.研究结果表明:同相位情况下,间距参数T1为0、5、20时,相邻两个一阶暗怪波相互作用激发产生“扭结型”暗怪波.相比较于单个暗怪波发生能量的弥散,“扭结型”暗怪波分裂形成多个次暗怪波.反相位情况下,间距参数T1为2、7、12时,相邻两个一阶暗怪波相互作用也可以激发产生“扭结型”暗怪波.并且“扭结型”暗怪波初始激发的空间位置偏离原始单个暗怪波的位置5.振幅系数比越大,该空间位置越接近5.二阶暗怪波可以看作是两个一阶暗怪波的非线性叠加,复合型和三组分型二阶暗怪波与相邻两个一阶暗怪波的相互作用略有相似.     

手征介质与陈绝缘体界面附近原子的自发辐射研究

对手征特异材料介质与陈绝缘体材料界面附近二能级原子的自发辐射特性进行了研究.推导计算了手征介质界面及其与陈绝缘体材料界面的反射系数矩阵,并根据并矢格林函数求得此环境下二能级原子自发衰减率的表达式.对手征介质和陈绝缘体材料特性参数影响下的原子自发辐射进行了数值计算,分别对平行和垂直于界面的偶极子自发衰减率进行讨论,并对辐射模式和消逝模式下的自发辐射进行了分析.结果表明,由于手征参量的存在,手征介质界面附近的原子自发衰减率与普通介质相比被增强.陈绝缘体则使得界面附近原子的自发辐射被明显抑制,且当手征参量较大时,陈绝缘体的抑制效应更加显著.     

PEG型酸性温控离子液体中芳香酸和醇的酯化反应

报道了该催化体系在芳香酸和醇酯化反应中的应用. 研究发现, 该离子液体具有优良的催化性能, 产品易分离, 催化剂可循环使用且活性不降低, 催化剂不易流失, 实现了均相催化剂的高效回收和再利用.