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11.
Influence of colloidal particle transfer on the quality of self-assembling colloidal photonic crystal under confined condition 下载免费PDF全文
The relationship between colloidal particle transfer and the quality of colloidal photonic crystal(CPC) is investigated by comparing colloidal particle self-assembling under the vertical channel(VC) and horizontal channel(HC) conditions.Both the theoretical analyses and the experimental measurements indicate that crystal quality depends on the stability of mass transfer.For the VC,colloidal particle transfer takes place in a stable laminar flow,which is conducive to forming high-quality crystal.In contrast,it happens in an unstable turbulent flow for the HC.Crystals with cracks and an uneven surface formed under the HC condition can be seen from the images of a field emission scanning electron microscope(SEM) and a three-dimensional(3D) laser scanning microscope(LSM),respectively. 相似文献
12.
Lie symmetries and conserved quantities for a two-dimentional nonlinear diffusion equation of concentration 下载免费PDF全文
The Lie symmetries and conserved quantities of a two-dimensional nonlinear diffusion equation of concentration are considered. Based on the invariance of the two-dimensional nonlinear diffusion equation of concentration under the infinitesimal transformation with respect to the generalized coordinates and time, the determining equations of Lie symmetries are presented. The Lie groups of transformation and infinitesimal generators of this equation are obtained. The conserved quantities associated with the nonlinear diffusion equation of concentration are derived by integrating the characteristic equations. Also, the solutions of the two-dimensional nonlinear diffusion equation of concentration can be obtained. 相似文献
13.
This paper focuses on studying Noether symmetries and conservation laws of the discrete mechanico-electricM systems with the nonconservative and the dissipative forces. Based on the invariance of discrete Hamilton action of the systems under the infinitesimal transformation with respect to the generalized coordinates, the generalized electrical quantities and time, it presents the discrete analogue of variational principle, the discrete analogue of Lagrange-Maxwell equations, the discrete analogue of Noether theorems for Lagrange Maxwell and Lagrange mechanico-electrical systems. Also, the discrete Noether operator identity and the discrete Noether-type conservation laws are obtained for these systems. An actual example is given to illustrate these results. 相似文献
14.
针对Pound-Drever-Hall(PDH)技术存在的线性动态范围窄、抗干扰能力弱的问题,提出一种基于双调制深度+双误差信号的PDH稳频方法。首先采用数字正交解调技术精确提取干涉信号相位以实现本振信号相位和干涉信号相位的自动匹配;然后利用透射功率信号Ptran和传统误差信号SPDH构建一个新误差信号Spre,以扩大PDH稳频系统的线性动态范围;接着,采用大调制深度对应的新误差信号Spre实现快速捕获和预锁定;最后,采用小调制深度对应的误差信号SPDH实现精确锁定。锁定后,可根据Ptran幅值变化自动切换调制深度和误差信号,实现大线性动态范围和高灵敏度的PDH稳频。研制了基于现场可编辑逻辑门阵列(FPGA)的稳频控制系统,对法布里-珀罗腔进行了锁定测试。实验结果表明,双调制深度+双误差信号的自适应锁定机制可极大地提高锁定系统的抗干扰能力,且锁定精度高,3小时腔长相对稳定度达5.72×10-9,所提方法可以广泛应用于激光频率/谐振腔锁... 相似文献
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16.
Lie symmetries and conserved quantities for a two-dimensional nonlinear diffusion equation of concentration 下载免费PDF全文
The Lie symmetries and conserved quantities of a
two-dimensional nonlinear diffusion equation of concentration are
considered. Based on the invariance of the two-dimensional nonlinear
diffusion equation of concentration under the infinitesimal
transformation with respect to the generalized coordinates and time,
the determining equations of Lie symmetries are presented. The Lie
groups of transformation and infinitesimal generators of this
equation are obtained. The conserved quantities associated with the
nonlinear diffusion equation of concentration are derived by
integrating the characteristic equations. Also, the solutions of the
two-dimensional nonlinear diffusion equation of concentration can be
obtained. 相似文献
17.
提出了研究对象非线性动态特性的逆推演新方法,它的特点是从已知对象的非微分方程解析解导出该对象可能的微分方程,从而开拓它的解域或解空间,或者说恢复丢失的解。同时讨论了当对象为法布里-珀罗干涉(F-P)或迈克耳孙干涉时该方法的应用过程,并且对法布里-珀罗定义新的不透过系数(u=1/τ),从而给出更简洁和易分析的对象动态特性微分议程,以及由此导出测量法布里-珀罗干涉相位的过程,值得注意的是由新方法导出的微分议程揭示对象更一般的时空演化特征。而且在现有的经验和知识基础上可以进一步唯象地拓展至其他可能的非线性形式,从而使对象的表达方式更接近它的实际情况。 相似文献