基于位移和应力灵敏度的结构拓扑优化设计

针对仅有应力约束以及含位移和应力约束的重量最小结构拓扑优化问题,基于ICM(独立、连续、映射)方法和渐进结构优化方法的思路,提出了一种结构拓扑优化方法. 在优化迭代循环的每一轮子循环迭代求解开始时,通过形成和引进新的位移和应力约束限, 自动构建设计变量移动限.将结构应力约束归并为几个最可能的有效应力约束,大大减少了应力灵敏度的分析量. 另外,建立了单元删除阈值和几轮迭代循环的单元删除策略. 为了确保优化迭代中结构非奇异和方法具有增添单元的功能,在结构孔洞和边界周围引入了一层人工材料单元,构建了其等效的优化模型. 结合位移和应力灵敏度分析,形成了一种新的连续体结构的拓扑优化方法. 给出的算例验证了该方法的正确性和有效性.      

Theoretical study on controlling nonlinear behaviors of a coupled-cavity VCSEL by external optical injection

A master-slave configuration used to control the nonlinear behaviors arising in a vertical cavity surface emitting laser (VCSEL) with strong external optical feedback is established. In terms of bifurcation diagram, time and frequency domain, the influence of the continuous optical injection from the master VCSEL on the nonlinear characteristics of the slave is investigated theoretically. For relatively weak injection, the slave still keeps its intrinsic nonlinear state. With increasing the injection strength, these nonlinear behaviors evolve to periodic fluctuation, and at last are replaced by the steady-state (e.g. the critical injection parameter for steady-state is 1.2 when external cavity's reflectivity and length are 4% and 4 cm, respectively). During this evolution the bifurcation-contraction phenomena are also observed.     

Theoretical study on controlling nonlinear behaviors of a coupled-cavity VCSEL by external optical injection

A master-slave configuration used to control the nonlinear behaviors arising in a vertical cavity surface emitting laser (VCSEL) with strong external optical feedback is established. In terms of bifurcation diagram, time and frequency domain, the influence of the continuous optical injection from the master VCSEL on the nonlinear characteristics of the slave is investigated theoretically. For relatively weak injection, the slave still keeps its intrinsic nonlinear state. With increasing the injection strength, these nonlinear behaviors evolve to periodic fluctuation, and at last are replaced by the steady-state (e.g. the critical injection parameter for steady-state is 1.2 when external cavity's reflectivity and length are 4% and 4 cm, respectively). During this evolution the bifurcation-contraction phenomena are also observed.     

基于垂直谐振腔结构的半导体光放大器理论分析

由新型垂直腔半导体光放大器（VCSOAs）器件结构出发,在反射模式和透射模式两种 情况下,计算了VCSOAs的分布布拉格反射堆（DBR）反射率、单程增益与增益、带宽的关系 ,其中DBR反射率的增大伴随着增益的上升,但也伴随着带宽的减小.通过引入增益-带宽 积的概念,以均衡增益与带宽.计算中表明:10 dB以上增益,50 GHz以上带宽可以实现. 计算结果与文献实验相吻合,对优化VCSOAs的结构设计和性能有所裨益.     

一种变位移约束限的结构拓扑优化方法

针对仅有位移约束和重量最小的结构拓扑优化问题, 基于ICM(独立、连续、映射)方法思路,提出了一种变位移约束限的结构拓扑优化方法. 在每一轮子循环迭代求解开始时,为了控制拓扑设计变量的变化量, 形成和引进了新的位移约束限. 另外,建立了单元删除阈值和几轮迭代循环的单元删除策略. 为了确保优化迭代中结构非奇异和方法具有增添单元的功能,在结构孔洞和边界周围引入了一层人工材料单元,并建立了一套有效结构信息到结构最大设计域信息的映射转换方法. 结合对偶求解方法,形成了一种新的连续体结构的拓扑优化方法. 给出的算例表明该方法没有目标函数的振荡现象,且验证了该方法的正确性和有效性. 关键词:拓扑优化; 位移约束; 连续体结构; ICM方法; 渐进结构优化;      

Path Integrals and Alternative Effective Dynamics in Loop Quantum Cosmology

The alternative dynamics of loop quantum cosmology is examined by the path integral formulation.We consider the spatially flat FRW models with a massless scalar field,where the alternative quantizations inherit more features from full loop quantum gravity.The path integrals can be formulated in both timeless and deparameterized frameworks.It turns out that the effective Hamiltonians derived from the two different viewpoints are equivalent to each other.Moreover,the first-order modified Friedmann equations are derived and predict quantum bounces for contracting universe,which coincide with those obtained in canonical theory.