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Simulation method of urban evacuation based on mesoscopic cellular automata 基于介观元胞自动机的城市疏散模拟方法
IF 1 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-11-17 DOI: 10.7498/APS.70.20210018
Lu Wei, Wang Jing-Hui, Fang Zhi-ming, Mao Dun
This study integrates pedestrian flow characteristics to formulate a mesoscopic cellular automata model tailored for simulating evacuations in large-scale scenarios. Departing from the conventional planar grid cell division, the model employs road cell segmentation, thereby physically enlarging the dimensions of individual cells. This augmentation accommodates an increased occupancy of individuals per cell, representing pedestrian flow parameters within each cell through state variables. The source loading cell facilitates the simulation of pedestrian behavior transitioning from buildings to roads during an actual evacuation event, while the unloading cell situated at the exit removes evacuees from the system. The continuity equation for state transitions comprehensively encapsulates the dynamics of pedestrians throughout the evacuation process. Potential challenges in actual evacuation processes are identified through the simulation, offering valuable insights for improvement. This research aims to contribute to a more effective and informed approach to evacuation planning and management.
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引用次数: 2
Medium Correction to Gravitational Form Factors 重力形状因子的介质校正
IF 1 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-02-24 DOI: 10.7498/aps.72.20222473
Shu Lin, Jiayuan Tian
We generalize the gravitational form factor for chiral fermion in vacuum, which reproduces the well-known spin-vorticity coupling. We also calculate radiative correction to the gravitational form factors in quantum electrodynamics plasma. We find two structures in the form factors contributing to the scattering amplitude of fermion in vorticity field, one is from the fermon self-energy correction, pointing to suppression of spin-vorticity coupling in medium; the other strucutre comes from graviton-fermion vertex correction, which does not adopt potential interpretation, but corresponds to transition matrix element between initial and final states. Both structures contribute to chiral vortical effect. The net effect is that radiative correction enhances the chiral vortical effect. Our results claify the relation and difference between spin-vorticity coupling and chiral vortical effect from the perspective of form factors. We also discuss the application of the results in QCD plasma, indicating radiative correction might have an appreciable effect in spin polarization effect in heavy ion collisions.
我们推广了真空中手性费米子的引力形式因子,它再现了众所周知的自旋涡耦合。我们还计算了量子电动力学等离子体中引力形状因子的辐射修正。我们发现在涡旋场中影响费米子散射振幅的形式因素中有两种结构,一种是来自费米子的自能修正,表明介质中自旋涡度耦合受到抑制;另一种结构来自引力子-费米子顶点校正,它不采用势解释,而是对应于初态和终态之间的跃迁矩阵元。这两种结构都有助于产生手性旋涡效应。净效应是辐射校正增强了手性旋涡效应。我们的研究结果从形状因素的角度阐明了自旋涡耦合与手性涡效应的关系和区别。我们还讨论了结果在QCD等离子体中的应用,表明辐射校正可能对重离子碰撞中的自旋极化效应有明显的影响。
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引用次数: 1
Exploring Ferroelectric Vortex Topology and morphotropic Phase Boundaries by Phase Field Method 用相场法研究铁电涡旋拓扑结构和相变相界
IF 1 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.7498/aps.72.20221898
Liu Zhong-Lei, Cao Jin-Ming, Wang Zhi, Zhao Yu-Hong
The perovskite crystal structure determines the appearance of ferroelectricity and the determination of the polarization direction of ferroelectric ceramics. When the polarization direction has a certain order, different domain structures will combine to form a multiparticle system with a specific morphology, the topological structures that exist in ferroelectrics. In this study, the domain structure of potassium sodium niobate (K0.5Na0.5NbO3) thin films under different hysteresis electric fields and thicknesses was observed by the phase field method. According to the different switching paths of the domain structure under the electric field, the domain is divided into fast and slow switching process. Based on this, a method is proposed to first determine the domain switching state of the desired experiment and then conduct directional observation. Through the analysis of the domain structures combined with the polarization vector, a clear multi-domain combined vortex-antivortex pair topological structure was observed for the first time in K0.5Na0.5NbO3 films. The vortex structure was further analyzed for its switching process, and it was observed that this vortex topological microstructure can make the domain more likely to switch, so that more small-scale polarization vectors can be ordered to form the desired multiparticle system topology. This polarization vector ordering is similar to the microscopic phase boundary formed by the specific polarization directions on both sides of the morphotropic phase boundary (MPB) for the improvement of the dielectric properties of ferroelectric materials.
钙钛矿的晶体结构决定了铁电性的形貌,也决定了铁电陶瓷的极化方向。当极化方向具有一定的顺序时,不同的畴结构会结合形成具有特定形态的多粒子体系,即铁电体中存在的拓扑结构。本研究采用相场法观察了不同迟滞电场和厚度下铌酸钾钠(K0.5Na0.5NbO3)薄膜的畴结构。根据电场作用下畴结构切换路径的不同,将畴分为快速切换过程和慢速切换过程。在此基础上,提出了一种先确定目标实验的域切换状态,再进行定向观察的方法。通过结合极化矢量的畴结构分析,首次在K0.5Na0.5NbO3薄膜中观察到清晰的多畴涡-反涡对组合拓扑结构。进一步分析了涡旋结构的切换过程,发现涡旋拓扑结构可以使畴更容易切换,从而使更多的小尺度极化矢量有序地形成所需的多粒子系统拓扑结构。这种极化矢量排序类似于在嗜形相边界(MPB)两侧的特定极化方向所形成的微观相边界,用于改善铁电材料的介电性能。
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引用次数: 0
A large signal scaling model of high power GaN microwave device 大功率GaN微波器件的大信号缩放模型
IF 1 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.7498/aps.72.20230440
Cheng Ai-Qiang, Wang Shuai, Xu Zu-Yin, He Jin, Zhang Tian-Cheng, Bao Hua-Guang, Ding Da-Zhi
With the rapid development of wireless communications, GaN HEMTs, which have various advantages of high power density, high electron mobility, and high breakdown threshold, have attracted increasing attention. Microwave power amplifiers based on GaN HEMTs are widely used in many fields, such as communication, medical, and detection instruments. In the accurate design of GaN microwave power amplifiers, reliable RF large signal models are vitally important. In this paper, a scalable large-signal model based on EEHEMT model is proposed to describe the properties of multifinger AlGaN/GaN high electrom mobility transistors (HEMTs) accurately. A series of scaling rules are established for the intrinsic parameters of the device, including drain-source current Ids, input capacitance Cgs and Cgd, which take into account both the gate width of a single finger and the number of gate fingers. With the proposed scalable large-signal model, the performances of the L-band GaN high-efficiency power amplifier with the length of gate of 14.4mm is analyzed. This amplifier demonstrates outstanding performance with the output power up to 46.5dBm and the drain efficiency of over 70% covering the entire frequency range from 1120MHz to 1340MHz. Great agreement between the simulations and experiments is achieved, demonstrating the excellent accuracy of the proposed model. Moreover, the proposed model can further predict the performance of high-order harmonics, providing an effective tool for the design of advanced high-power and high-efficiency microwave power amplifiers. Certainly, the EEHEMT model lacks the ability to characterize the dynamical behavior induced by trap and self-heating effects. Thus, for further consideration, scaling models for the thermal resistance and heat capacity will be investigated to broaden the applicability of the proposed model in the case of continuous waves.
随着无线通信的飞速发展,GaN hemt以其具有高功率密度、高电子迁移率、高击穿阈值等优点而日益受到人们的关注。基于GaN hemt的微波功率放大器广泛应用于通信、医疗、检测仪器等领域。在GaN微波功率放大器的精确设计中,可靠的射频大信号模型是至关重要的。为了准确描述多指AlGaN/GaN高电子迁移率晶体管(hemt)的性能,提出了一种基于EEHEMT模型的可扩展大信号模型。针对器件的漏源电流id、输入电容Cgs和Cgd等本征参数,建立了考虑单指栅极宽度和栅极指数的一系列标度规则。利用所提出的可扩展大信号模型,分析了门长为14.4mm的l波段GaN高效功率放大器的性能。该放大器性能优异,输出功率高达46.5dBm,漏极效率超过70%,覆盖1120MHz至1340MHz的整个频率范围。仿真结果与实验结果吻合较好,证明了该模型具有较高的精度。此外,该模型可以进一步预测高次谐波的性能,为设计先进的大功率高效微波功率放大器提供了有效的工具。当然,EEHEMT模型缺乏表征由陷阱和自热效应引起的动力学行为的能力。因此,为了进一步考虑,将研究热阻和热容的缩放模型,以扩大所提出的模型在连续波情况下的适用性。
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引用次数: 0
Improved parameter optimization method for measurement device independent protocol 改进的测量设备独立协议参数优化方法
IF 1 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.7498/aps.72.20230179
Zhou Jiang-Ping, Zhou Yuan-Yuan, Zhou Xue-Jun
The optimal selection of parameters in practical quantum key distribution can greatly improve the key generation rate and maximum transmission distance of the system. Due to the high cost of global search algorithm, local search algorithm is widely used. However, there are two vulnerabilities in local search algorithm, one is that the solution obtained is not always the global optimal solution, the other is that the effectiveness of the algorithm is greatly dependent on the choice of initial value. It is different from the previous article that this paper uses the Monte Carlo method to prove whether the key generation rate function is convex, and also simulates and analyzes the projection of key generation rate function on each dimension of the parameter. In order to eliminate the effect of the initial value, this paper proposes the particle swarm local search optimization algorithm which is combining particle swarm optimization algorithm and local search algorithm. The first step is using the particle swarm optimization to find a valid parameter which leads to nonzero key generation rate, the second step is using the parameter as the initial value of local search algorithm to derive the global optimal solution. Then, the two algorithms are simulated and compared. The results show that the key generation rate function is non-convex because it does not satisfy the definition of a convex function, however, since the key generation rate function has only one non-zero stagnation point, the LSA algorithm can still obtain the global optimal solution with a proper initial value, when the transmission distance is relatively long, the local search algorithm is invalid because it is difficult to obtain an effective initial value by random value method. Particle swarm optimization algorithm can overcome this shortcoming and improve the maximum transmission distance of the system at the cost of slightly increasing the complexity of the algorithm.
在实际的量子密钥分配中,参数的优化选择可以大大提高密钥的生成速率和系统的最大传输距离。由于全局搜索算法的成本较高,局部搜索算法被广泛使用。然而,局部搜索算法存在两个漏洞,一是得到的解并不总是全局最优解,二是算法的有效性很大程度上依赖于初始值的选择。与前一篇文章不同的是,本文采用蒙特卡罗方法来证明密钥生成率函数是否为凸,并模拟分析了密钥生成率函数在参数各维上的投影。为了消除初始值的影响,本文提出了将粒子群优化算法与局部搜索算法相结合的粒子群局部搜索优化算法。第一步是利用粒子群算法寻找一个有效的参数,使密钥生成率达到非零,第二步是利用该参数作为局部搜索算法的初始值,推导出全局最优解。然后,对两种算法进行了仿真和比较。结果表明,由于密钥生成速率函数不满足凸函数的定义,因此它是非凸的,但由于密钥生成速率函数只有一个非零的驻点,因此LSA算法仍然可以获得具有适当初始值的全局最优解,当传输距离较长时,局部搜索算法由于难以通过随机值方法获得有效的初始值而无效。粒子群优化算法可以克服这一缺点,以略微增加算法复杂度为代价提高系统的最大传输距离。
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引用次数: 0
Influence of wind-dominated thermal blooming on orbital angular momentum and phase singularity of dual-mode vortex beams 风主导热晕对双模涡旋光束轨道角动量和相位奇异性的影响
IF 1 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.7498/aps.72.20230684
Xu Meng-min, Li Xiao-qing, Tang rong, Ji xiao-ling
The influence of thermal blooming on orbital angular momentum (OAM) and phase singularity of dual-mode vortex beams under different wind direction and wind speed has been studied in this paper. Due to the different symmetries of dual-mode vortex beams superimposed by different modes, the impact of thermal blooming on them not only depends on wind speed, but also on wind direction. Based on the scalar wave equation and the hydrodynamic equation, a 4D computer code to simulate the time-dependent propagation of dual-mode vortex beams in the atmosphere is devised by using the multiphase screen method and finite difference method. It is found that, for certain wind direction, the value of OAM increases with the decreasing wind speed because the thermal blooming becomes more serious, i.e., the thermal blooming effect promotes the OAM of dual-mode vortex beam growth. For an example, when the angle between the wind direction and the beam is 0<θ<50°, the OAM of the dual-mode vortex beams with a topological charge difference of 2 increases with decreasing wind speed, and there is an optimal angle (θ≈20°) to maximize OAM. Therefore, for certain wind direction and wind speed, the OAM of dual-mode vortex beam propagating in the atmosphere could be larger than that in free space, and could be larger than the OAM of single-mode vortex beam. The dual-mode vortex beam with higher modes requires smaller wind speed to make its OAM larger than the OAM in free space. In addition, the larger the topological charge difference between the two element beams of a dual-mode vortex beam is, the more stable the OAM of the dual-mode vortex beam is. On the other hand, the evolution of linear edge dislocation singularity under atmospheric thermal blooming are also investigated in this paper. When the wind direction is perpendicular to the dislocation line, the linear edge dislocation singularity disappears. If the wind direction is parallel to the dislocation line, the linear edge dislocation singularity always exists. At other angles, the linear edge dislocation singularity will evolve into optical vortex pairs. The results obtained in this paper are useful to laser propagating in the atmosphere and optical communication.
本文研究了不同风向和风速下热晕对双模涡旋光束轨道角动量和相位奇异性的影响。由于不同模态叠加的双模涡旋光束的对称性不同,热晕对双模涡旋光束的影响不仅与风速有关,还与风向有关。基于标量波动方程和流体力学方程,采用多相屏法和有限差分法设计了模拟双模涡旋光束在大气中随时间传播的四维计算机程序。研究发现,在一定风向下,由于热晕效应的加剧,OAM值随着风速的减小而增大,即热晕效应促进了双模涡旋光束的OAM增长。例如,当风向与涡旋光束的夹角为0<θ<50°时,拓扑电荷差为2的双模涡旋光束的OAM随风速的减小而增大,且存在一个使OAM最大化的最佳夹角(θ≈20°)。因此,在一定的风向和风速下,双模涡旋光束在大气中传播的OAM可能大于自由空间中的OAM,也可能大于单模涡旋光束的OAM。高模态双模涡旋光束需要较小的风速,使其OAM大于自由空间的OAM。此外,双模涡旋光束的两个单元光束之间的拓扑电荷差越大,双模涡旋光束的OAM越稳定。另一方面,本文还研究了大气热晕下线性边缘位错奇点的演化。当风向垂直于位错线时,线性边缘位错奇点消失。当风向与位错线平行时,线性边缘位错奇点始终存在。在其他角度下,线性边缘位错奇点演化为光学涡旋对。本文的研究结果对激光在大气中的传播和光通信具有一定的指导意义。
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引用次数: 0
Theoretical Studies of Low-frequency Shear Alfvén Waves in Reversed Shear Tokamak Plasmas 反剪切托卡马克等离子体中低频剪切alfvsamn波的理论研究
IF 1 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.7498/aps.72.20230255
Ma Rui-Rui, Chen Liu, Qiu Zhi-Yong
The low-frequency Alfvénic fluctuations in the kinetic thermal-ion gap frequency range have been of research interest since they can interact with both thermal and energetic particles. In this work, linear wave properties of the low-frequency shear Alfvén waves excited by energetic and/or thermal particles observed in tokamak experiments with reversed magnetic shear are theoretically investigated and delineated in the theoretical framework of the generalized fishbone-like dispersion relation (GFLDR). Since these low-frequency shear Alfvén waves are closely related to the dedicated experiment of energetic ion-driven low-frequency instabilities conducted on DIII-D in 2019, this work demonstrates, by adopting the representative experimental equilibrium parameters of DIII-D, that the experimentally observed lowfrequency modes and beta-induced Alfvén eigenmodes (BAEs) are, respectively, the reactive-type and dissipative-type unstable modes with dominant Alfvénic polarization, thus the former being more precisely called low-frequency Alfvén modes (LFAMs). More specifically, due to diamagnetic and trapped particle effects, the LFAM can be coupled with the beta-induced Alfvén-acoustic mode (BAAE) in the low-frequency region (frequency much less than the thermal-ion transit and/or bounce frequency); or with the BAE in the high frequency region (frequency higher than or comparable to the thermal-ion transit frequency); resulting in reactive-type instabilities. Moreover, due to different instability mechanisms, the maximal drive of BAEs occurs, in comparison to LFAMs, when the minimum of the safety factor (qmin) deviates from a rational number. Meanwhile, the BAE eigenfunction peaks at the radial position of the maximum energetic particle pressure gradient, resulting in a large deviation from the qmin surface. The ascending frequency spectrum patterns of the experimentally observed BAEs and LFAMs can be theoretically reproduced by varying qmin and also be well interpreted based on the GFLDR. In particular, it is confirmed that the stability of the BAAE is not affected by energetic ions, which is consistent with the first-principle-based theory predictions and simulation results. The present analysis illustrates the solid predictive capability of the GFLDR and its practical usefulness in enhancing the interpretative capability of both experimental and numerical simulation results.
动态热离子间隙频率范围内的低频alfv杂散波动由于能与热粒子和高能粒子相互作用而引起了研究的兴趣。本文在广义鱼骨样色散关系(GFLDR)的理论框架下,从理论上研究了托卡马克反磁剪切实验中观察到的高能和/或热粒子激发的低频剪切alfv录影带波的线性波特性。由于这些低频剪切alfv录影带波与2019年在DIII-D上进行的高能离子驱动低频不稳定性的专用实验密切相关,因此本文采用DIII-D具有代表性的实验平衡参数,证明实验观测到的低频模态和β诱导的alfv录影带本征模态(BAEs)分别是以alfv录影带极化为主的反应型和耗散型不稳定模态。因此,前者更准确地被称为低频alfvsamn模式(lfam)。更具体地说,由于抗磁性和捕获粒子效应,LFAM可以在低频区域(频率远低于热离子传输和/或反弹频率)与β诱导的alfv声学模式(BAAE)耦合;或与BAE在高频区域(频率高于或与热离子过境频率相当);导致反应型不稳定。此外,由于不稳定机制的不同,与lfam相比,BAEs的最大驱动发生在安全系数(qmin)的最小值偏离有理数时。同时,BAE特征函数在高能粒子压力梯度最大的径向位置达到峰值,与qmin表面偏差较大。实验观测到的BAEs和lfam的上升频谱模式可以通过改变qmin在理论上再现,并且基于GFLDR也可以很好地解释。特别是,证实了BAAE的稳定性不受高能离子的影响,这与基于第一性原理的理论预测和模拟结果是一致的。本文的分析说明了GFLDR的可靠预测能力及其在提高实验和数值模拟结果的解释能力方面的实际用途。
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引用次数: 0
Charge transmission of MoS2/MoTe2 vertical heterojunction and it's modulation MoS2/MoTe2垂直异质结的电荷传输及其调制
IF 1 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.7498/aps.72.20221768
Heng-Di Wen, Yue Liu, Liang Zhen, Yang Li, Cheng-Yan Xu
Two-dimensional material heterojunction device with unique photoelectric properties due to its nanoscale thickness and van der Waals contact surface. In this paper, a MoS2/MoTe2 vertical vdWs heterojunction device with Gate-tunable is constructed. The Kelvin probe force microscopy (KPFM) technology is combined with the electric transport measurement technology, which reveals the charge transport behavior of the MoS2/MoTe2 heterojunction under dark and light conditions, including the bipolarity characteristics of the transition from n-n+ junction to p-n junction. This paper comprehensively and systematically explains the charge transport mechanism of heterojunction, including the charge transmission process of n-n+ junction and p-n junction under positive and negative bias conditions, the transformation of nodule behavior with gate voltage, the influence of barriers on charge transmission, the different rectification characteristics between n-n+ junction and p-n junction, the major role of source and leakage bias voltage on band tunneling, and the influence of photogenerated carriers on electrical transmission. The method in this paper can be generalized to other two-dimensional heterojunction systems and provides an important reference and reference for improving the performance of two-dimensional semiconductor devices and their applications in the future.
二维材料异质结器件由于其纳米级厚度和范德华接触面而具有独特的光电性能。本文构造了一个栅极可调谐的MoS2/MoTe2垂直vdWs异质结器件。将开尔文探针力显微镜(KPFM)技术与电输运测量技术相结合,揭示了MoS2/MoTe2异质结在黑暗和光照条件下的电荷输运行为,包括从n-n+结向p-n结转变的双极性特征。本文全面系统地阐述了异质结的电荷输运机理,包括正负偏置条件下n-n+结和p-n结的电荷输运过程、栅极电压对结行为的改变、势垒对电荷输运的影响、n-n+结和p-n结的不同整流特性、源偏压和漏偏压对带隧穿的主要作用。以及光生载流子对电传输的影响。本文的方法可以推广到其他二维异质结系统,为今后提高二维半导体器件的性能及其应用提供了重要的参考和参考。
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引用次数: 0
Ultramicro-sensing of terahertz metamaterials using sample traps 利用样品阱对太赫兹超材料进行超微传感
IF 1 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.7498/aps.72.20230080
Xiang Xing-Cheng, Ma Hai-Bei, Wang Lei, Tian Da, Zhang Wei, Zhang Cai-Hong, Wu Jing-Bo, Fan Ke-Bin, Jin Biao-Bing, Chen Jian, Wu Pei-heng
A metamaterial sensor using sample traps based on terahertz electromagnetically-induced-transparency-like(EIT-like) effect is proposed. The basic unit structure of the sensor is composed of a metal wire and a pair of split-ring resonators(SRRs), which are coupled to produce EIT-like effect. A transparency peak with a full width at half maximum (FWHM) of 178 GHz is obtained at 1.067 THz, and the maximum transmittance of the transparency peak is 89.71%. The sensing characteristics of the structure are studied, and the sensitivity is 178 GHz/(RIU·mm3). It is found that the electric field at gaps of the SRRs on both sides is the strongest by analyzing electric field distribution at the resonant frequency point of the metamaterial. Sample traps are constructed at the gaps, where the electric field is strongest. The photoresist was filled into the sample traps as the object to be measured, and 50 GHz frequency offset was successfully measured, which verified that the sample trap structure can be applied to sensing. After research and analysis, by placing samples in the sample traps, the sample volume is reduced to the ultra-micro level, and the sensitivity is increased to 5538 GHz/(RIU·mm3), which is 31 times higher than before. The successful identification of water, human skin and rat skin samples shows that the metamaterial sensor using sample traps has potential application value in the field of ultra-micro detection.
提出了一种基于太赫兹电磁诱导透明效应的样品陷阱超材料传感器。传感器的基本单元结构是由一根金属线和一对分环谐振器(srr)组成,它们耦合在一起产生类似eit的效果。在1.067 THz处获得了半峰全宽(FWHM)为178 GHz的透明峰,透明峰的最大透过率为89.71%。研究了该结构的传感特性,灵敏度为178 GHz/(RIU·mm3)。通过分析超材料谐振频率点处的电场分布,发现两侧srr间隙处的电场最强。在电场最强的间隙处构造样品陷阱。将光刻胶作为被测对象填充到样品陷阱中,成功测量了50 GHz的频率偏移,验证了样品陷阱结构可以应用于传感。经过研究分析,通过将样品置于样品阱中,将样品体积减小到超微观水平,将灵敏度提高到5538 GHz/(RIU·mm3),比以前提高了31倍。水、人体皮肤和大鼠皮肤样品的成功鉴定表明,基于样品陷阱的超材料传感器在超微检测领域具有潜在的应用价值。
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引用次数: 0
Nonlocal soliton in non-parity-time-symmetric coupler 非奇偶-时间对称耦合器中的非局域孤子
IF 1 4区 物理与天体物理 Q3 Physics and Astronomy Pub Date : 2023-01-01 DOI: 10.7498/aps.72.20230082
Jiang Hong-Fan, Lin Ji, Hu Bei-Bei, Zhang Xiao
Parity-time (PT)symmetric is not a necessary condition for achieving a real spectrum and some studies about realizing real spectra in non-PT-symmetric systems with arbitrary gain–loss profiles have been presented recently. By tuning the free parameters in non-PT-symmetric potentials, phase transition could also be induced. Above phase transition point, discrete complex eigenvalues bifurcate out from continuous real eigenvalues in the interior of the continuous spectrum. In this work, we investgate the existence and stability of solitons in nonlocal nonlinear couplers with non-PT-symmetric complex potentials both below and above phase transition. There are several discrete eigenvalues in the linear spectra of the non-PT-symmetric system used here. With the square-operator iteration method, we find that different continuous families of solitions can bifurcate from different discrete linear eigenvalues. Moreover, linear-stability analysis collaborated with direct numerical propagation simulations demonstrates that the nonlocal solitions can be stable in a range of parameter values. we first address the cases below the phase transition. To be specific,when we fix the coupling coefficient and vary the degree of nonlocality, it’s found that fundamental solitons, dipole solitons, tripolar solitons, quadrupole solitons bifurcate from the largest,the second-largest, the third-largest and the fifth-largest discrete eigenvalue, respectively. These nonlocal solitons are all stable in the low power region. With an increase of the degree of nonlocality, the stability region shrinks for the fundamental solitons while it widens for the dipole and multiplole solitons. At the same time, the power of all the stable solitons increases with the increase of the degree of nonlocality. By varying the coupling coefficient, the arrangement of soliton families emerging in the discrete interval of the linear spectrum can be changed. For example, the dipole solitons bifurcate from the third-or fourth-largest discrete eigenvalue while the tripolar solitons bifurcate from the fifth largest discrete eigenvalue. Above phase transition,the fundamental solitons are unstable in the low and high power region but are stable in the moderate power region. The stability region shrinks with the increasing degree of nonlocality. We also find the the family of dipole solitons bifurcates from the second-largest discrete eigenvalue, but all the dipole solitons are unstable. In addition,we find that the eigenvalues in linear-stability spectra of solitons emerge as conjugation pairs.
奇偶时间对称并不是获得实谱的必要条件,近年来对具有任意增益损耗曲线的非奇偶时间对称系统实现实谱进行了一些研究。通过调整非pt对称电位中的自由参数,也可以诱导相变。在相变点以上,连续谱内部的连续实特征值从离散复特征值中分叉出来。本文研究了非pt对称复势相变下和相变上的非局部非线性耦合器中孤子的存在性和稳定性。在这里使用的非pt对称系统的线性谱中有几个离散的特征值。利用平方算子迭代法,我们发现不同的连续解族可以从不同的离散线性特征值中分叉。此外,线性稳定性分析与直接数值传播模拟相结合,表明非局部解在一定参数范围内是稳定的。我们首先处理相变下面的情况。具体而言,当我们固定耦合系数并改变非定域性程度时,发现基本孤子、偶极孤子、三极孤子、四极孤子分别从最大、第二大、第三大和第五大离散特征值分叉。这些非局域孤子在低功率域中都是稳定的。随着非定域性程度的增加,基本孤子的稳定区域缩小,而偶极子和多重孤子的稳定区域变宽。同时,所有稳定孤子的幂都随非定域程度的增加而增加。通过改变耦合系数,可以改变线性谱离散区间孤子族的排列。例如,偶极孤子从第三或第四大离散特征值分岔,而三极孤子从第五大离散特征值分岔。在相变以上,基本孤子在低功率和高功率区域不稳定,而在中功率区域稳定。稳定区域随着非定域程度的增加而缩小。我们也发现偶极孤子族从第二大离散特征值分叉,但所有的偶极孤子都是不稳定的。此外,我们发现孤子的线性稳定谱的特征值以共轭对的形式出现。
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Acta Physica Sinica
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