A bifurcation theorem of nongradient,weakly continuous maps and applications

In this paper, M. A. Krasnosels’kii’s local bifurcation theorem for compactly continuous mappings is extended to weakly continuous mappings. So we can surmount the difficulty of lacking compactness in application. Lastly, we apply it to Dilichlet problem of quasilinear elliptic equation.     

Eyewear-style three-dimensional endoscope derived from microstructured polymer fiber with the function of image transmission

A method of fabricating multi-core polymer image fiber is proposed.Image fiber preform is fabricated by stacking thousands of polymer fibers each with a 0.25-mm diameter orderly in a die by only one step.The preform is heated and stretched into image fiber with an outer diameter of 2mm.Then a portable eyewear-style three-dimensional(3D) endoscope system is designed,fabricated,and characterized.This endoscopic system is composed of two graded index lenses,two pieces of 0.35-m length image guide fibers,and a pair of oculars.It shows good ?exibility and portability,and can provide the depth information accordingly.     

一种高隔离度的双阻带超宽带MIMO天线设计

针对无线通信系统中的超宽带传输要求,设计了一种以FR4为基板的高隔离度的双阻带超宽带MIMO天线。天线由两个辐射单元组成,两个天线辐射单元结构相同,采用了微带馈电的馈电方式。该MIMO天线单元为U型的超宽带单极子天线,通过在天线单元上刻制两个U型槽,使得在天线的工作频率上添加了用于WiMAX和WLAN的阻带。在两个单元天线中间,引入了一条T型地板枝节作为隔离结构,用于改善MIMO天线的隔离度。经网络矢量分析仪测试结果表明,该天线覆盖在2.44～10.75 GHz,且隔离度全部低于-22 dB,拥有较高的隔离度,最大增益为6.76 dB,在实际工程应用当中可以满足UWB无线通信的要求。     

环烯烃共聚物空芯微结构太赫兹光纤的设计与制造

以环烯烃共聚物（cyclic-olefin copolymer,COC）材料为基质,设计、制造了一种空芯多孔包层太赫兹（THz）纤维。利用comsol 软件模拟了芯径为6 mm 的光纤在0.2~1.5 THz 波段的损耗特性,结果表明:在0.85~1.5 THz 波段存在多个低损耗频带,而且在0.85~1.1 THz 波段有低于3 dB/m 的三个窗口;特别是在0.99 THz,损耗达到0.208 dB/m。芯径为3 mm、4.8 mm 和6 mm 的光纤在0.8~1.5 THz 波段的损耗特性对比分析表明:该COC 微结构多孔包层空芯纤维的损耗随着光纤外径的增加而减小。把设计的太赫兹纤维外径放大7 倍达到7 cm,据此设计制造了光纤预制棒成型专用模具。借助热挤出成型方法得到了结构完整、孔洞表面光滑,长度为22 cm 的空芯多孔包层预制棒。利用该实验室独有的微结构光纤拉丝塔,成功获得了微结构保持完好的光纤样品。损耗分析结果表明:6 mm 芯径的光纤样品在1.27 THz 的平均损耗为2.175 dB/m,与该频率的理论损耗（1.95 dB/m）接近。     

环烯烃共聚物多孔太赫兹纤维的设计与特性模拟

太赫兹纤维波导是太赫兹系统中重要的组成元件。为了实现太赫兹辐射的低损耗低色散传输,设计了一种以环烯烃共聚物为基质的多孔太赫兹纤维,并利用基于全矢量有限元法的商业软件COMSOL分析了该多孔太赫兹纤维的传输特性,着重考察了亚波长多孔纤芯的结构参数对传输特性的影响。结果表明:这种太赫兹纤维可以将模场能量很好的限制在亚波长多孔纤芯中传输,具有较小的有效模场面积、低的传输损耗和平坦近零色散等优良的传输特性;同时,通过增大多孔纤芯的占空比,可以将更多的模场能量限制在亚波长直径的空气孔洞中传输,并减小太赫兹纤维的有效模场面积和有效模式损耗,但同时会增大限制损耗和色散。     

面向低轨多星协作的非正交传输资源分配方法

近年来,低轨卫星星座的密集化使得通过低轨卫星之间的协作通信来提高网络吞吐量的能力得到增强。然而,卫星网络的大空间尺度特性使得传输链路间的时间异步性不容忽视。因此,对在低轨卫星协作通信场景中利用异步非正交传输来提高公平感知率展开研究。首先,推导了该场景下异步容量的表达式用于优化问题的建模,该问题联合考虑了卫星终端连接关系和卫星发射功率分配的优化。为了解决该混合整数非线性问题,提出了一种基于偏好列表的联合资源分配算法,该算法将原优化问题分解为卫星终端连接关系子问题和卫星发射功率分配子问题,在给定偏好列表的情况下分别通过Gale-Shapley算法和Dinkelbach算法求解,然后根据子问题每轮迭代结果更新偏好列表求得最终解。仿真结果验证了采用异步非正交传输在低轨卫星通信网络中的优越性和提出算法在最大最小公平性方面的有效性。     

A study of pickup and signal processing for HLS- bunch current measurement system

For the HLS-bunch current measurement system,in order to obtain the absolute value of bunch current,the calibration factor should be determined by using DCCT.At the HLS storage ring,the stretch efect of bunch length is observed and the change rate is about 19% when the bunch current decays over time and this will afect the performance of bunch current detection.To overcome the bunch stretch influence in the HLS-bunch current measurement,an evaluation about pickup type and signal processing is carried out.Strip-line pickup and button pickup are selectable,and the theoretical analysis and demonstration experiment are performed to find out an acceptable solution for the bunch current measurement system at HLS-.The experimental data analysis shows that the normalized calibration factor will change by about 27% when the bunch length changes by about 19% if using the button pickup and processing by peak value of bunch signal;the influence will be reduced to 2% less if adopting the strip-line pickup and integral.     

关于抛物型积分-微分方程

本文应用 Galerkin 方法讨论一类无界区域上拟线性抛物型积分-微分方程初边值问题解的存在性,作为应用,我们得出了带吸咐项的非线性水动力弥散方程解的存在性定理。     

A BIFURCATION THEOREM OF NONGRADIENT, WEAKLY CONTINUOUS MAPS AND APPLICATIONS

In this paper, M. A. Krasnosels'kii's local bifurcation theorem for compactly continuous mappings is extended to weakly continuous mappings. So we can surmount the difficulty of lacking compactness in application. Lastly, we apply it to Dilichlet problem of quasilinear elliptic equation.