Tailoring topological corner states in photonic crystals by near-and far-field coupling effects

We explore the behaviors of optically coupled topological corner states in supercell arrays composed of photonic crystal rods,where each supercell is a second-order topological insulator.Our findings indicate that the coupled corner states possess nondegenerate eigenfrequencies at theΓpoint,with coupled dipole corner states excited resonantly by incident plane waves and displaying a polarization-independent characteristic.The resonance properties of coupled dipole corner states can be effectively modulated via evanescently near-field coupling,while multipole decomposition shows that they are primarily dominated by electric quadrupole moment and magnetic dipole moment.Furthermore,we demonstrate that these coupled corner states can form surface lattice resonances driven by diffractively far-field coupling,leading to a dramatic increase in the quality factor.This work introduces more optical approaches to tailoring photonic topological states,and holds potential applications in mid-infrared topological micro-nano devices.

Network dynamics and its relationships to topology and coupling structure in excitable complex networks

All dynamic complex networks have two important aspects, pattern dynamics and network topology. Discovering different types of pattern dynamics and exploring how these dynamics depend or/network topologies are tasks of both great theoretical importance and broad practical significance. In this paper we study the oscillatory behaviors of excitable complex networks （ECNs） and find some interesting dynamic behaviors of ECNs in oscillatory probability, the multiplicity of oscillatory attractors, period distribution, and different types of oscillatory patterns （e.g., periodic, quasiperiodic, and chaotic）. In these aspects, we further explore strikingly sharp differences among network dynamics induced by different topologies （random or scale-free topologies） and different interaction structures （symmetric or asymmetric couplings）. The mechanisms behind these differences are explained physically.

STUDY OF TOPOLOGY OPTIMIZATION FOR THERMO-STRUCTURAL COUPLING FIELD

A number of critical problems of topology optimization concerning the thermostructural coupling field axe studied at length. The governing equations and topology optimization model for the thermal-structural coupling field axe derived, with an adjoint method for sensitivity analysis of the thermo-structural coupling field proposed. The optimization algorithm for coupling field topology optimization is investigated and a flowchart of coupling field topology optimization presented. The theory and algorithms axe implemented and verified by two numerical examples.

Topological superfluid in a two-dimensional polarized Fermi gas with spin-orbit coupling and adiabatic rotation

We study the properties of superfluid in a two-dimensional （2D） polarized Fermi gas with spin-orbit coupling and adiabatic rotation which are trapped in a harmonic potential. Due to the competition between polarization, spin-orbit coupling, and adiabatic rotation, the Fermi gas exhibits many intriguing phenomena. By using the Bardeen-Cooper-Schrieffer （BCS） mean-field method with local density approximation, we investigate the dependence of order parameter solution on the spin-orbit coupling strength and the rotation velocity. The energy spectra with different rotation velocities are studied in detail. Besides, the conditions for the zero-energy Majorana fermions in topological superfluid phase to be observed are obtained. By investigating distributions of number density, we find that the rotation has opposite effect on the distribution of number density with different spins, which leads to the enhancement of the polarization of Fermi gas. Here, we focus on the region of BCS pairing and ignore the Fulde-Ferrell-Larkin-Ovchinnikov state.

Spin-orbit coupling adjusting topological superfluid of mass-imbalanced Fermi gas

Topological superfluid state is different from the normal superfluid one due to the excitation energy gap on the boundary.How to obtain the topological superfluid state by using spin-orbit coupling to control the s-waves paired mass-imbalanced Fermi gas is a recent novel topic.In this paper,we study the topological superfluid phase diagram of two-dimensional mass-imbalanced Fermi gas with Rashba spin-orbit coupling at zero temperature.We find that due to the competition among mass imbalance,pairing interaction and spin-orbit coupling,there is a double-well structure in the thermodynamic potential,which affects the properties of the ground state of the system.We comprehensively give the phase diagrams of the system on the plane of spin-orbit coupling and chemical potential,and the phase diagrams on the plane of the reduced mass ratio and two-body binding energy.This study not only points out the stable region of topolog-ical superfluid state of mass-imbalanced Fermi gas,but also provides a detailed theoretical basis for better observation of topological superfluid state in experiments.

Multichannel coupling induced topological insulating phases with full multimerization

We propose and experimentally realize a class of quasi-one-dimensional topological lattices whose unit cells are constructed by coupled multiple identical resonators,with uniform hopping and inversion symmetry.In the presence of coupling-path-induced effective zero hopping within the unit cells,the systems are characterized by complete multimerization with degenerate-1 energy edge states for open boundary condition.

Multi-objective Topology Optimization of Thermo-mechanical Compliant Mechanisms

The material characteristics of a structure will change with temperature variation,and will induce stress within the structure.Currently,the optimal design for the topology of compliant mechanisms is mainly performed in single physical field.However,when compliant mechanisms work in high temperature environments,their displacement outputs are generated not only by mechanical load,but also by the temperature variation which may become the prominent factor.Therefore,the influence of temperature must be considered in the design.In this paper,a novel optimization method for multi-objective topology of thermo-mechanical compliant mechanisms is presented.First,the thermal field is analyzed with finite-element method,where the thermal strain is taken into account in the constitutive relation,and the equivalent nodal thermal load is derived with the principle of virtual work.Then the thermal load is converted into physical loads in elastic field,and the control equation of the thermo-mechanical compliant mechanism is obtained.Second,the mathematical model of the multi-objective topology optimization is built by incorporating both the flexibility and stiffness.Meanwhile,the coupling sensitivity function and the sensitivity analysis equations of thermal steady-state response are derived.Finally,optimality criteria algorithm is employed to obtain numerical solution of the multi-objective topology optimization.Numerical examples show that the compliant mechanisms have better performance and are more applicable if the temperature effect is taken into account in the design process.The presented modeling and analysis methods provide a new idea and an effective approach to topology optimization of compliant mechanisms in electrothermic coupling field and multiphysics fields.

Synchronization of complex switched delay dynamical networks with simultaneously diagonalizable coupling matrices

This paper studies local exponential synchronization of complex delayed networks with switching topology via switched system stability theory. First, by a common unitary matrix, the problem of synchronization is transformed into the stability analysis of some linear switched delay systems. Then, when all subnetworks are synchronizable, a delay-dependent sufficient condition is given in terms of linear matrix inequalities （LMIs） which guarantees the solvability of the synchronization problem under an average dwell time scheme. We extend this result to the case that not all subnetworks are synchronizable. It is shown that in addition to average dwell time, if the ratio of the total activation time of synchronizable and non-synchronizable subnetworks satisfy an extra condition, then the problem is also solvable. Two numerical examples of delayed dynamical networks with switching topology are given, which demonstrate the effectiveness of obtained results.

H_∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies

The paper addresses the issue of H_∞ couple-group consensus for a class of discrete-time stochastic multi-agent systems via output-feedback control. Both fixed and Markovian switching communication topologies are considered. By employing linear transformations, the closed-loop systems are converted into reduced-order systems and the H_∞ couplegroup consensus issue under consideration is changed into a stochastic H_∞ control problem. New conditions for the mean-square asymptotic stability and H_∞ performance of the reduced-order systems are proposed. On the basis of these conditions, constructive approaches for the design of the output-feedback control protocols are developed for the fixed communication topology and the Markovian switching communication topologies, respectively. Finally, two numerical examples are given to illustrate the applicability of the present design approaches.

Three-dimensional spin–orbit coupled Fermi gases:Fulde–Ferrell pairing, Majorana fermions, Weyl fermions,and gapless topological superfluidity

We theoretically investigate a three-dimensional Fermi gas with Rashba spin-orbit coupling in the presence of both out-of-plane and in-plane Zeeman fields. We show that, driven by a sufficiently large Zeeman field, either out-of-plane or in-plane, the superfluid phase of this system exhibits a number of interesting features, including inhomogeneous Fulde- Ferrell pairing, gapped or gapless topological order, and exotic quasi-particle excitations known as Weyl fermions that have linear energy dispersions in momentum space （i.e., massless Dirac fermions）. The topological superfluid phase can have either four or two topologically protected Weyl nodes. We present the phase diagrams at both zero and finite temperatures and discuss the possibility of their observation in an atomic Fermi gas with synthetic spin-orbit coupling. In this context, topological superfluid phase with an imperfect Rashba spin-orbit coupling is also studied.

Customizing topological phases in the twisted bilayer superconductors with even-parity pairings

We investigate the topological properties of twisted bilayer superconductors with different even-parity pairings in each layer.In the presence of spin-orbit coupling,the Hamiltonian is mapped into an effective odd-parity superconductor.Based on this,we deduce the topological properties by examining the relative configuration between Fermi surface and Dirac pairing node.We show that mixed Rashba and Dresselhaus spin-orbit coupling and anisotropic hopping terms,which break the C_(4)symmetry of the Fermi surface,can induce first-order topological superconductors with non-zero bulk Chern number.This provides a versatile way to control the topological phases of bilayer superconductors by adjusting the twisted angle and chemical potential.We demonstrate our results using a typical twisted angle of 53.13°,at which the translation symmetry is restored and the Chern number and edge state are calculated using the Moir′e momentum.

Cosmological BF Theory on Topological Graph Manifold with Seifert Fibered Homology Spheres

In this article, we show how to build a cosmological model characterized by the hierarchy of coupling constants and a set of Quantum Hall Fluids in BF theory. The resulting field theory is operated on Abelian Gauge fields within Gauge transformations on the U(1) group, which introduces the Chern-Simmons class with topological mass. The mathematical background on which the model is based is a topological graph manifold of Brieskorn Seifert fibered-sphere space-time grid (lower dimensions), through a Kaluza-Klein reduction. This model offers a feasible alternative to the precise calculation of the cosmological constant Λ, much more accurate than the string landscape and baby universe models that have been proposed. Numerical results are given for coupling constants hierarchy. Model predictions may work as an argumental base to justify topological interpretations of space-time.

空间约束下电动汽车无线充电系统磁耦合结构优化

电动汽车无线充电系统在尺寸大小与位置偏移等因素的影响下,会导致系统传输能力下降。为了在空间约束条件下提升系统的输出功率、传输效率及抗偏移能力,针对位置偏移与底盘高度不同的实际情况,在经典D4线圈的基础上分别设计了收发端非对称D4和收发端非对称D4Q双层线圈磁耦合结构,以提高耦合系数和抗偏移能力。在不同方向的偏移和旋转的情况进行仿真测试,表明收发端非对称D4Q双层线圈在出现横向偏移300 mm、纵向偏移400 mm、传输距离230 mm和旋转偏移45°以内具备无线电能传输能力。通过搭建实验平台对偏移进行测试与验证,结果表明,所提出的收发端非对称D4Q磁耦合结构的最大输出功率相对于收发端对称D4磁耦合结构增加约60.34%,最大传输效率增大11%。

基于“指节”驱动刚柔耦合式变弯度机翼后缘结构的设计方法

利用刚性机构驱动的变形翼,蒙皮易出现不光滑变形的现象,而用柔顺机构设计的变形翼,虽蒙皮曲线光滑,飞机的稳定性和机动性增强,但难以满足变形与承载双重优化。为此,基于“指节”驱动式仿生刚柔耦合的设计思想,本文设计了一种瓦特I型六杆驱动的变弯度机翼后缘三“指节”刚性机构,并建立了可承受气动载荷和光滑变形的柔顺机构拓扑优化方法。先设计了一种由单电机驱动的瓦特I型六杆操控机构,再改进了“指节”式驱动下变形翼后缘的变密度拓扑优化方法,后求解并给出了一种具有三“指节”式杆驱动特点的变弯度后缘柔顺驱动机构,最后对优化模型进行了刚柔体动力学、空气动力学以及流固耦合仿真,并搭建了试验平台和样机模型,对柔性变形翼的可行性及其设计方法有效性进行论证,结果表明该机翼可以光滑、连续地大变形,同时又具有较强的承载能力。

双层蜂窝状海森伯铁磁体中层间交换耦合相互作用对拓扑相的影响

层状磁性拓扑材料是最小二维单元下同时具有磁序和拓扑性的材料体系,研究这一体系可能会观察到新物性和新现象的出现,因此引起了研究者们的广泛关注.本文运用线性自旋波理论,主要研究了层间铁磁耦合的双层蜂窝状海森伯铁磁体中层间交换耦合相互作用对系统拓扑相的影响.通过计算不同层间交换耦合相互作用强度下的磁子色散关系能得出,当系统达到两个强度临界值时,能量较高的两条能带和能量较低的两条能带的带隙在狄拉克点处会依次出现闭合-重新打开现象.计算能带对应的贝里曲率和陈数后,发现贝里曲率符号在相应临界值前后会发生反转,同时陈数也会发生改变,这证明系统发生了拓扑相变.此外,本文研究发现当双层蜂窝状铁磁体发生拓扑相变时,磁子热霍尔系数变化曲线会相应发生突变.本研究成果可以为利用双层蜂窝状铁磁材料制作具有更高信息传输能力的自旋电子器件提供理论支撑,也可以为其他双层铁磁系统的相关研究提供一定的理论参考.

片上红外偏振探测研究进展

偏振是光的固有自由度,偏振探测提供了光强和波长之外的更多丰富信息。红外偏振探测器在成像、通信、遥感和宇宙学等众多应用中发挥着至关重要的作用。然而,传统的偏振检测系统体积庞大、系统复杂,阻碍了偏振探测的小型化和集成化。近来,片上红外偏振探测器的发展引起了广泛的研究兴趣。本文将重点介绍片上红外偏振探测器的两个前沿研究领域:偏振敏感材料和偏振选择性光耦合结构集成的红外偏振探测器,主要讨论片上红外偏振探测器的研究现状以及未来的挑战和机遇。

考虑声振耦合的阻尼板声辐射拓扑优化

针对阻尼材料分布对车轮振动引起的声辐射抑制作用问题,以国内现有某直辐板型车轮阻尼板为例,结合声振耦合理论,以阻尼板一阶峰值频率激励下的声辐射功率最小化为目标函数,阻尼材料的体积分数为约束条件,通过直接求导法推导目标函数在一阶峰值频率激励下的灵敏度,采用渐进优化算法获得最优阻尼构型并基于实测频响验证了计算的准确性。研究结果表明:阻尼车轮在整个频域范围,振动频响函数幅值明显低于标准车轮,安装了经阻尼布局优化后的阻尼板车轮在2000、3150、4000 Hz处的声功率级相比全覆盖时分别下降了6、5.5、2.8 dB,声场声压级最大值下降了6.9 dB;相比优化前在(r,5)处的频响从1.76 m/s^(2)下降到0.39 m/s^(2),且高频振动响应均有所减弱。

跨尺度结构智能优化方法与快速设计

跨尺度拓扑优化设计极大激发了结构轻量化潜力,在先进装备的开发中具有重要作用。然而基于传统有限元的结构拓扑优化算法难以适应产品快速迭代的需求。为此,本文提出了一种基于耦合深度学习的跨尺度拓扑优化方法,通过集成残差神经网络(Resnet)、U-net架构及SEnet中的注意力机制,建立快速生成双尺度拓扑结构的深度学习模型。模型训练数据利用双向渐进结构优化算法产生,并用一组全新的数据对模型进行测试。数值算例表明,本文提出的深度学习模型可以高效且准确的生成基于各种边界下的宏观材料分布与微观拓扑结构。

基于宇称时间对称的P-SP拓扑无线电能传输系统特性分析

宇称时间(PT)对称原理已经被验证可以作为提高无线电能传输系统自由度的有力工具,但基于PT对称的并联-并联(P-P)拓扑结构无线电能传输(WPT)系统的工作范围仍然受到限制。为解决这一问题,提出了一种基于PT对称原理的并联-串并联(P-SP)补偿WPT系统。通过等效电路法化简系统电路模型,并利用耦合模理论(CMT)分析电容分配比对振荡频率、临界耦合系数、满足系统进入PT对称区域的耦合系数和负载电阻值范围以及传输效率等工作性能的影响。构建样机开展实验,以检验所提方法的适用性,结果表明:可以在仅损失2%系统传输效率的情况下,将传输距离由110 mm扩大到210 mm,该操作可为扩大应用范围、增加应用场景、优化激光无线充电系统中发送模块单元和接收模块单元的工作性能做准备。

An mmWave Dual-Band Integrated Substrate Gap Waveguide Single Cavity Filter with Frequency Selectivity

A novel dual-band ISGW cavity filter with enhanced frequency selectivity is proposed in this paper by utilizing a multi-mode coupling topology.Its cavity is designed to control the number of modes,and then the ports are determined by analyzing the coupling relationship between these selected modes.By synthesizing the coupling matrix of the filter,a nonresonating node(NRN)structure is introduced to flexibly tune the frequency of modes,which gets a dualband and quad-band filtering response from a tri-band filter no the NRN.Furthermore,a frequency selective surface(FSS)has been newly designed as the upper surface of the cavity,which significantly improves the bad out-of-band suppression and frequency selectivity that often exists in most traditional cavity filter designs and measurements.The results show that its two center frequencies are f01=27.50 GHz and f02=32.92GHz,respectively.Compared with the dual-band filter that there is no the FSS metasurface,the out-of-band suppression level is improved from measured 5 dB to18 dB,and its finite transmission zero(FTZ)numbers is increased from measured 1 to 4 between the two designed bands.Compared with the tri-band and quadband filter,its passband bandwidth is expanded from measured 1.17%,1.14%,and 1.13% or 1.31%,1.50%,0.56%,and 0.57% to 1.71% and 1.87%.In addition,the filter has compact,small,and lightweight characteristics.