两个与高阶积分有关的Laplace变换公式的证明

本文分别利用高阶积分公式、数学归纳法以及卷积法对与高阶积分有关的两个Laplace变换公式给予了证明.     

第二个重要极限存在性证明的新方法

本文通过分析第二个重要极限现存的两类典型证明方法,进而提出一种借助本文中证明的一个不等式,得到第二个重要极限存在性证明的新方法.     

Study of closed orbit response to magnet vibrations at the SSRF storage ring

This paper presents the analytical and simulation responses of the closed orbit distortion in the SSRF storage ring to random and plane wave like magnet vibrations respectively. It is shown that the use of girder is very beneficial in the view of suppressing this response function. Effect of the independently supported gradient bending magnets to the closed orbit response is given. An analytic formula is written to give a rough estimate of the closed orbit distortion due to ground motion, taking into account the closed orbit response function and girder transfer function. As an example, the result of SSRF case is given.     

Digital prototype of LLRF system for SSRF

This paper describes a field programming gate array (FPGA) based low level radio frequency (LLRF) prototype for the SSRF storage ring RF system. This prototype includes the local oscillator (LO), analog front end, digital front end, RF out, clock distributing, digital signal processing and communication functions. All feedback algorithms are performed in FPGA. The long term of the test prototype with high power shows that the variations of the RF amplitude and the phase in the accelerating cavity are less than 1% and 1° respectively, and the variation of the cavity resonance frequency is controlled within ±10 Hz.     

上海光源储存环磁聚焦结构设计

上海光源是一台正在建设中的低发射度第三代同步辐射光源. 经过优化后, 储存环有两种直线节长度, 周长432m,在能量3.5GeV下束流发射度为3.9nm.rad, 直线节处的β函数和色散函数有足够的调节范围. 跟踪研究表明, 即使带上磁铁高阶场误差, 储存环仍有足够大的动力学孔径和能量接受度.     

双波荡器自由电子激光理论

给出了双波荡器自由电子激光器的通用理论.在双波荡器自由电子激光器中,引入了一个周期长度非常接近主波荡器中电子束感应加速振荡周期的附加波荡器.推导出了一套自治方程组描述双波荡器中自由电子激光场演变过程,并分别给出了低增益、高增益和饱和三种情况下的解析解.研究表明,适当选择附加波荡器的参数,可以提高自由电子激光器的增益或转换效率     

High Power THz Undulator Radiation from Linear Accelerator

A 30-MeV femto-second electron linac is built at the Shanghai Institute of Applied Physics, which can produce high power, coherent THz undulator radiation. We report the experimental facility and measurement of the power, frequency spectrum. First experiments show the averaged power at THz to be about 20mW.     

基于“互联网+”的高等数学混合式课程生态的探索与实践

论文运用方差分析的方法,找出影响课程成绩的显著性因素,根据显著性水平组合来设计混合式教学模式,优化教学内容,构建课程成绩评价体系.论文的混合式教学课程生态研究,顺应了教育教学改革的潮流和提升高等数学的教学质量的需求,满足了高等数学课程服务于专业教育的需求.