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1.
Ying Yang 《中国物理 B》2021,30(11):110202-110202
The research of rogue waves is an advanced field which has important practical and theoretical significances in mathematics, physics, biological fluid mechanics, oceanography, etc. Using the reductive perturbation theory and long wave approximation, the equations governing the movement of blood vessel walls and the flow of blood are transformed into high-order nonlinear Schrödinger (NLS) equations with variable coefficients. The third-order nonlinear Schrödinger equation is degenerated into a completely integrable Sasa-Satsuma equation (SSE) whose solutions can be used to approximately simulate the real rogue waves in the vessels. For the first time, we discuss the conditions for generating rogue waves in the blood vessels and effects of some physiological parameters on the rogue waves. Based on the traveling wave solutions of the fourth-order nonlinear Schrödinger equation, we analyze the effects of the higher order terms and the initial deformations of the blood vessel on the wave propagation and the displacement of the tube wall. Our results reveal that the amplitude of the rogue waves are proportional to the initial stretching ratio of the tube. The high-order nonlinear and dispersion terms lead to the distortion of the wave, while the initial deformation of the tube wall will influence the wave amplitude and wave steepness.  相似文献   
2.
谢丽  钟哲强  张彬 《光学学报》2021,(2):149-156
变形镜在长期工作的过程中,压电陶瓷驱动器因累积疲劳效应会导致其失效,从而导致校正性能的降低。从变形镜的影响函数出发,将失效驱动器的电压置零,采用有限元方法建立变形镜疲劳失效模型,重点分析畸变波前的形态分布、入射光束的类型和驱动器的排布方式等对校正能力的影响。实验结果表明,在部分驱动器失效的情况下,变形镜应当根据高斯型随机畸变波前的形态分布进行失效分析。从低频部分来看,在第1圈驱动器失效的情况下,变形镜对三种入射光束的校正效果几乎相同,当驱动器失效位置在其他圈数时,变形镜对高斯光束的校正效果最差;从高频部分来看,在不同位置驱动器失效的情况下,变形镜对平顶高斯光束的校正效果最佳。  相似文献   
3.
The immersed boundary‐lattice Boltzmann method has been verified to be an effective tool for fluid‐structure interaction simulation associated with thin and flexible bodies. The newly developed smoothed point interpolation method (S‐PIM) can handle the largely deformable solids owing to its softened model stiffness and insensitivity to mesh distortion. In this work, a novel coupled method has been proposed by combining the immersed boundary‐lattice Boltzmann method with the S‐PIM for fluid‐structure interaction problems with large‐displacement solids. The proposed method preserves the simplicity of the lattice Boltzmann method for fluid solvers, utilizes the S‐PIM to establish the realistic constitutive laws for nonlinear solids, and avoids mesh regeneration based on the frame of the immersed boundary method. Both two‐ and three‐dimensional numerical examples have been carried out to validate the accuracy, convergence, and stability of the proposed method in consideration of comparative results with referenced solutions.  相似文献   
4.
An integrated shape morphing and topology optimization approach based on the deformable simplicial complex methodology is developed to address Stokes and Navier‐Stokes flow problems. The optimized geometry is interpreted by a set of piecewise linear curves embedded in a well‐formed triangular mesh, resulting in a physically well‐defined interface between fluid and impermeable regions. The shape evolution is realized by deforming the curves while maintaining a high‐quality mesh through adaption of the mesh near the structural boundary, rather than performing global remeshing. Topological changes are allowed through hole merging or splitting of islands. The finite element discretization used provides smooth and stable optimized boundaries for simple energy dissipation objectives. However, for more advanced problems, boundary oscillations are observed due to conflicts between the objective function and the minimum length scale imposed by the meshing algorithm. A surface regularization scheme is introduced to circumvent this issue, which is specifically tailored for the deformable simplicial complex approach. In contrast to other filter‐based regularization techniques, the scheme does not introduce additional control variables, and at the same time, it is based on a rigorous sensitivity analysis. Several numerical examples are presented to demonstrate the applicability of the approach.  相似文献   
5.
A nonlinear model for a steady flow in a deformable porous medium is considered. The flow is governed by the poroelasticity system consisting of an elasticity equation for the displacement of the porous medium and Darcy's equation for the pressure in the fluid. This poroelasticity system is nonlinear when the permeability in Darcy's equation is assumed to depend on the dilatation of the porous medium. Existence and uniqueness of a weak solution of this poroelasticity system is established under rather weak assumptions on the regularity of the data. Convergence of a finite element approximation is proved and verified through numerical experiments. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   
6.
The phase conjugation between the deformable mirror and the wavefront sensor in the aberration correction of a terawatt Ti:sapphire laser is studied experimentally and theoretically in this paper. At varying values of phase-conjugation precision, we focus the corresponding beams into spots of the same size of 5.1 μm×5.3 μm with a f/4 parabola in the 32 TW/36 fs Ti:sapphire laser system. The results show that the precision of conjugation can induce an intensity modulation but does not significantly affect the wavefront correction.  相似文献   
7.
自适应光学波前校正器技术发展现状   总被引:7,自引:0,他引:7  
波前校正器是自适应光学系统中的关键部件,相关技术已得到了多年的积累与发展。本文介绍了多种目前常用的波前校正器件,包括分离促动器连续表面变形镜、拼接子镜变形镜、薄膜变形镜、双压电片变形镜、微电子机械系统变形镜以及基于液晶技术的空间光调制器和自适应次镜等,给出了它们的实现方式及其基本工作原理,并从空间校正频率和校正速度等方面对各校正器的性能进行了比较。最后,总结了在新应用的需求下,波前校正器件的技术创新及发展趋势。  相似文献   
8.
手写体识别中,目标形状的匹配是较为重要的工作.为了提高手写体目标形状的匹配速度,提出一种新的匹配方法.由于手写体目标形状的几何先验知识已知,并可以采用少量的参数进行表示,新方法采用参数化可变形模板匹配目标形状,确定其后验概率模型,并定义剪枝信任度空间,依据信任度传播算法的特性,首次将剪枝信任度传播算法应用于求解可变形模板与目标形状之间的最佳匹配.实验结果显示,在灰度图像中,对手写体目标形状的轮廓检测与定位速度显著提高.提出将剪枝信任度传播方法应用于手写体目标形状的匹配工作,能够使得目标形状填补空白,应用于相关性较为稀疏的图模型中.  相似文献   
9.
刘磊  郭劲  赵帅  姜振华  孙涛  王挺峰 《中国光学》2014,7(2):260-266
为了满足高光束质量要求,校正激光束在传输过程中产生的波前畸变,改善激光位相分布,进而提高聚焦光斑的能量集中度,基于79单元微机械薄膜变形镜(MMDM)搭建了一套激光束整形实验系统。利用随机并行梯度下降(SPGD)算法,分别选择聚焦光斑半径、形心为中心的环围能量比和质心为中心的环围能量比作为算法性能指标,开展了激光束整形实验研究。3种情况下,分别经过58次、197次、133次迭代趋于收敛,但光斑半径作为性能指标时振荡严重;环围能量比从整形前的0.200 5、0.127 7、0.200 5分别增加到整形后的0.669 9、0.733 9、0.864 0。实验结果表明:MMDM用于激光束整形具有良好的效果,光斑半径作为性能指标整形速度最快,其次为质心环围能量比,形心环围能量比最慢;质心环围能量比作为性能指标整形效果最好,其次为形心环围能量比,光斑半径最差。综合比较,质心环围能量比作为性能指标时综合效果最好。  相似文献   
10.
利用20单元双压电片变形镜和13×13阵列哈特曼波前传感器所构成的闭环自适应光学系统,实验测试了双压电片变形镜对3~20项静态Zernike像差的空间校正能力,并将实验结果与仿真计算结果进行了对比.最后分析了哈特曼传感器与双压电片变形镜之间的对准误差对实验结果的影响.研究表明,除了少数几项外,双压电片变形镜对3~20项Zernike像差的拟合误差都小于0.5,各项Zernike仿真和实验结果之差平均小于0.1.计算表明,与严格对准的理想情况相比,双压电片变形镜对3~20项Zernike像差中大多数项的拟合误差都随着失配程度的增加而增大,对准精度对于高阶像差拟合效果的影响尤其严重.  相似文献   
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