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Colorful excitations of 3D dark-bright vector ring-like Peregrine structures in partially nonlocal nonlinear context under a harmonic potential 谐波电势下部分非局部非线性背景下三维暗-亮矢量环状百灵鸟结构的多彩激励
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-29 DOI: 10.1016/j.cjph.2024.08.029
Yu Zhu, Jing Yang, Zezhou Chen, Wei Qin, Jitao Li

Based on a one-to-one mapping and Darboux method, 3D partially nonlocal dark-bright vector ring-like Peregrine structure solutions are derived. From these solutions, colorful excitations of dark-bright vector ring-like Peregrine structures in two kinds of diffraction control systems are studied. In the periodical system, periodically recurred fully excitations and inhibited excitations of ring-like dark-bright Peregrine structures are discussed. In the exponential system, inhibited excitations, peak-maintenance excitations and full excitations of ring-like dark-bright Peregrine structures are analyzed. The influence of diffraction parameter, radius parameter and thickness parameter of ring, and Hermite parameter on the formation of these excitations for dark-bright Peregrine structures are investigated. These results will deepen the comprehension of the partially nonlocal nonlinear wave in the fields of optical communication, cold atom and other domains.

基于一一映射和达尔布方法,推导出了三维部分非局部暗亮矢量环状百灵鸟结构解。根据这些解,研究了两种衍射控制系统中暗-亮矢量环状百灵鸟结构的多彩激励。在周期系统中,讨论了环状暗亮百灵鸟结构的周期性重复完全激发和抑制激发。在指数系统中,分析了环状暗光百灵鸟结构的抑制激发、峰值维持激发和完全激发。研究了衍射参数、环的半径参数和厚度参数以及赫米特参数对暗光百灵鸟结构形成这些激振的影响。这些结果将加深人们对部分非局部非线性波在光通信、冷原子等领域的理解。
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引用次数: 0
Collapsing scenarios of K-essence generalized Vaidya spacetime under f(R̄,T̄) gravity f(R̄,T̄)引力下 K-essence广义韦迪雅时空的坍缩情景
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-29 DOI: 10.1016/j.cjph.2024.08.035
Arijit Panda , Goutam Manna , Saibal Ray , Maxim Khlopov , Md. Rabiul Islam

The paper investigates the collapse of the generalized emergent Vaidya spacetime in the setting of f(R̄,T̄) gravity, specifically in K-essence theory. In this study, the Dirac–Born–Infeld type non-standard Lagrangian is used to calculate the emergent metric Ḡμν, which is not conformally equivalent to the conventional gravitational metric. We use the function f(R̄,T̄) to reflect the additive nature of the emergent Ricci scalar (R̄) and the trace of the emergent energy–momentum tensor (T̄). Our study demonstrates that certain choices of f(R̄,T̄) may result in the existence of a naked singularity caused by gravitational collapse. The alternative f(R̄,T̄) values resulted in an accelerating universe dominated by dark energy. Moreover, the investigation showed the presence of both positive and negative masses, which might suggest the coexistence of dark matter and dark energy. In addition, when a certain amount of kinetic energy is present in the K-essence scalar field, mass is entirely converted into energy, indicating that spacetime is Minkowskian. The K-essence theory may also be employed as a dark energy framework and a basic gravitational theory, making it possible for researchers to investigate a wide ranges of cosmic phenomena.

本文研究了在 f(R̄,T̄)引力环境下,特别是在 K-essence 理论中广义新兴韦迪雅时空的坍缩。在这项研究中,我们使用狄拉克-天生-因费尔德类型的非标准拉格朗日来计算新兴度量Ḡμν,它与传统引力度量并不保角等价。我们使用函数 f(R̄,T̄)来反映新出现的利玛窦标量(R̄)和新出现的能动张量迹(T̄)的相加性质。我们的研究表明,f(R̄,T̄)的某些选择可能导致引力坍缩引起的裸奇点的存在。替代的 f(R̄,T̄)值会导致一个由暗能量主导的加速宇宙。此外,研究还发现了正负质量的存在,这可能暗示了暗物质和暗能量的共存。此外,当 K-essence 标量场中存在一定的动能时,质量会完全转化为能量,这表明时空是明科夫斯基的。K-essence 理论还可用作暗能量框架和基本引力理论,使研究人员有可能研究各种宇宙现象。
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引用次数: 0
Radiative flow of clay nanoparticles on the lubricity of Williamson drilling fluids across a vertical surface in a Darcy-Brinkman porous medium 粘土纳米颗粒的辐射流动对威廉姆森钻井液在达西-布林克曼多孔介质中穿过垂直表面的润滑性能的影响
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-27 DOI: 10.1016/j.cjph.2024.08.031
Samia Elattar , Umair Khan , Aurang Zaib , Anuar Ishak , Norah Alwadai , Hind Albalawi
Drilling fluids are essential for extracting gases and oils from rocks and soil. To increase drilling fluid efficiency, clay nanoparticles are crucial. The use of clay particles in drilling fluids increases their thermal conductivity, viscosity, and boiling point, hence giving resilience to high temperatures and controlling fluid costs. Therefore, this research examines the convection radiative flow and heat transfer incorporated in the Williamson nanofluid with a heat source/sink. The effective thermophysical properties of clay nanofluid are represented quantitatively by using Maxwell-Garnett and Brinkman's formulas. The leading PDEs with physical boundary conditions that control the flow phenomena are predetermined. These PDEs are converted into ODEs using the similarity method, and dual solutions are then found by using an effective bvp4c solver. The effects of mixed convective, permeability, Williamson constraint, heat source/sink, nanoparticle volume fraction, and radiation parameters were all thoroughly studied quantitatively and theoretically. The Nusselt number and skin friction are calculated and displayed in tabular form as well as graphical form along with the velocity and temperature profiles. Multiple solutions are observed in the shrinkable sheet as well as the buoyancy assisting flow. The findings demonstrate that the Nusselt number rises noticeably when volume concentration increases. In addition, the permeability parameter expands the boundary layer thickness in the lower solution, while the contrary behavior is observed in the upper solution.
钻井液对于从岩石和土壤中提取气体和石油至关重要。要提高钻井液的效率,纳米粘土颗粒至关重要。在钻井液中使用粘土颗粒可以提高钻井液的导热性、粘度和沸点,从而提高钻井液的耐高温能力,控制钻井液成本。因此,本研究探讨了威廉姆森纳米流体与热源/散热器之间的对流、辐射流动和热传递。使用 Maxwell-Garnett 和 Brinkman 公式定量表示粘土纳米流体的有效热物理性质。预先确定了控制流动现象的物理边界条件的主要 PDEs。使用相似法将这些 PDE 转换为 ODE,然后使用有效的 bvp4c 求解器找到对偶解。对混合对流、渗透性、威廉姆森约束、热源/散热、纳米粒子体积分数和辐射参数的影响都进行了深入的定量和理论研究。计算并以表格和图形形式显示了努塞尔特数和表皮摩擦以及速度和温度曲线。在可收缩片流和浮力辅助流中观察到多种解决方案。研究结果表明,当体积浓度增加时,努塞尔特数明显上升。此外,在下层解决方案中,渗透性参数扩大了边界层厚度,而在上层解决方案中则观察到相反的行为。
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引用次数: 0
Analysis of the dynamical behavior of discrete memristor-coupled scale-free neural networks 离散忆阻器耦合无标度神经网络的动力学行为分析
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-27 DOI: 10.1016/j.cjph.2024.08.033
Weizheng Deng, Minglin Ma

The synchronization of neural networks is crucial for neural information processing and represents a key feature of various functional brain diseases. Memristors are ideal electronic components for mimicking biological synapses, among which discrete memristors have the advantage of fast computing speed and are often used in memristor-based neural networks. For these reasons, this paper proposes a novel discrete memristor-coupled Scale-Free neural network (DMSNN). Phase diagrams and time series of membrane potential are employed to analyze the firing pattern coexistence of individual neurons in the network. Furthermore, Spatiotemporal patterns, heat maps of the Spearman correlation coefficient matrix and the values of neuron membrane potential at a particular time point are adopted to declare the spatio-temporal dynamics of the complex neural network, encompassing asynchronization, chimeric state, synchronization and synchronization transition. The study also identifies the phenomenon of topology-induced coexistence and elucidates the underlying reasons for the emergence of chimeric states in the DMSNN as the coupling strength increases. Finally, a hardware implementation platform is constructed using a highly integrated SSD202 processor to validate the accuracy of the DMSNN. The results are consistent with the numerical simulations.

神经网络的同步对神经信息处理至关重要,也是各种脑功能性疾病的一个关键特征。忆阻器是模拟生物突触的理想电子元件,其中离散忆阻器具有运算速度快的优势,常用于基于忆阻器的神经网络。因此,本文提出了一种新型离散忆阻器耦合无标度神经网络(DMSNN)。本文利用膜电位的相位图和时间序列来分析网络中单个神经元共存的点火模式。此外,研究还采用了时空模式、斯皮尔曼相关系数矩阵热图和特定时间点的神经元膜电位值来说明复杂神经网络的时空动态,包括异步、嵌合状态、同步和同步转换。研究还发现了拓扑诱导的共存现象,并阐明了随着耦合强度的增加,DMSNN 中出现嵌合态的根本原因。最后,利用高度集成的 SSD202 处理器构建了一个硬件实现平台,以验证 DMSNN 的准确性。结果与数值模拟一致。
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引用次数: 0
Transition to chaotic flow, bifurcation, and entropy generation analysis inside a stratified trapezoidal enclosure for varying aspect ratio 不同长宽比梯形分层围壳内的混沌流过渡、分岔和熵生成分析
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-26 DOI: 10.1016/j.cjph.2024.08.034
Md. Mahafujur Rahaman , Sidhartha Bhowmick , Goutam Saha , Feng Xu , Suvash C. Saha

In this numerical study, we investigate the effect of aspect ratio (AR) on the natural convection (NC) flow and entropy generation (Sgen) in a stratified fluid confined inside a trapezoidal enclosure with thermally stratified side walls. The bottom of the enclosure is heated, and top of the enclosure is cooled. We use the Finite Volume Method (FVM) for simulating unsteady flows. We consider a Prandtl number (Pr = 0.71 for air) and explore AR of 0.2, 0.5, and 1.0, covering a wide range of Grashof numbers (Gr) from 10 to 108. The outcomes are presented for Grashof numbers and the effect of the AR on fluid flow, rates of heat transfer (HT), and Sgen inside the enclosure. Critical Grashof numbers are identified, marking the shift in flow behavior from being influenced by baroclinic to Rayleigh–Bénard instability, and from a steady to an unsteady state for various AR. In the context of this transition to chaotic flow, several supercritical bifurcations are observed, including a Pitchfork bifurcation from symmetric to asymmetric states and a Hopf bifurcation from a steady state to an unsteady state. Additionally, we analyze the discrepancies in average entropy generation (Savg) and average Bejan number (Beavg) across the entire enclosure, considering various AR and Gr values. It is observed that for enclosures with Gr ≥ 105, Savg increases as AR decreases, indicating an enhancement in HT rate with decreasing AR. Furthermore, a quantitative relationship between Savg, HT, AR, and Gr is presented. The study concludes that, as AR increases, the ecological coefficient of performance (ECOP) decreases, signifying a reduction in thermodynamics efficiency.

在这项数值研究中,我们研究了高宽比(AR)对封闭在梯形围墙内的分层流体的自然对流(NC)流动和熵生成(Sgen)的影响。外壳底部被加热,外壳顶部被冷却。我们使用有限体积法(FVM)模拟非稳态流动。我们考虑了普朗特数(Pr = 0.71,空气),并探索了 0.2、0.5 和 1.0 的 AR 值,涵盖了从 10 到 108 的各种格拉肖夫数 (Gr)。结果显示了格拉肖夫数以及 AR 对流体流动、热传递率 (HT) 和外壳内 Sgen 的影响。确定了临界格拉肖夫数,标志着流动行为从受巴氏不稳定性影响转变为雷利-贝纳德不稳定性影响,以及各种 AR 从稳定状态转变为不稳定状态。在向混沌流过渡的过程中,我们观察到了几种超临界分岔,包括从对称态到非对称态的 Pitchfork 分岔和从稳态到非稳态的 Hopf 分岔。此外,考虑到不同的 AR 和 Gr 值,我们分析了整个外壳的平均熵产生量(Savg)和平均贝扬数(Beavg)的差异。据观察,对于 Gr≥105 的外壳,Savg 随 AR 的减小而增大,表明 HT 率随 AR 的减小而增大。此外,还提出了 Savg、HT、AR 和 Gr 之间的定量关系。研究得出结论,随着 AR 的增加,生态性能系数 (ECOP) 会降低,这表明热力学效率会降低。
{"title":"Transition to chaotic flow, bifurcation, and entropy generation analysis inside a stratified trapezoidal enclosure for varying aspect ratio","authors":"Md. Mahafujur Rahaman ,&nbsp;Sidhartha Bhowmick ,&nbsp;Goutam Saha ,&nbsp;Feng Xu ,&nbsp;Suvash C. Saha","doi":"10.1016/j.cjph.2024.08.034","DOIUrl":"10.1016/j.cjph.2024.08.034","url":null,"abstract":"<div><p>In this numerical study, we investigate the effect of aspect ratio (<em>AR</em>) on the natural convection (NC) flow and entropy generation (<em>S<sub>gen</sub></em>) in a stratified fluid confined inside a trapezoidal enclosure with thermally stratified side walls. The bottom of the enclosure is heated, and top of the enclosure is cooled. We use the Finite Volume Method (FVM) for simulating unsteady flows. We consider a Prandtl number (Pr = 0.71 for air) and explore <em>AR</em> of 0.2, 0.5, and 1.0, covering a wide range of Grashof numbers (Gr) from 10 to 10<sup>8</sup>. The outcomes are presented for Grashof numbers and the effect of the <em>AR</em> on fluid flow, rates of heat transfer (HT), and <em>S<sub>gen</sub></em> inside the enclosure. Critical Grashof numbers are identified, marking the shift in flow behavior from being influenced by baroclinic to Rayleigh–Bénard instability, and from a steady to an unsteady state for various <em>AR</em>. In the context of this transition to chaotic flow, several supercritical bifurcations are observed, including a Pitchfork bifurcation from symmetric to asymmetric states and a Hopf bifurcation from a steady state to an unsteady state. Additionally, we analyze the discrepancies in average entropy generation (<em>S<sub>avg</sub></em>) and average Bejan number (<em>Be<sub>avg</sub></em>) across the entire enclosure, considering various <em>AR</em> and Gr values. It is observed that for enclosures with Gr ≥ 10<sup>5</sup>, <em>S<sub>avg</sub></em> increases as <em>AR</em> decreases, indicating an enhancement in HT rate with decreasing <em>AR</em>. Furthermore, a quantitative relationship between <em>S<sub>avg</sub></em>, HT, <em>AR</em>, and Gr is presented. The study concludes that, as <em>AR</em> increases, the ecological coefficient of performance (<em>ECOP</em>) decreases, signifying a reduction in thermodynamics efficiency.</p></div>","PeriodicalId":10340,"journal":{"name":"Chinese Journal of Physics","volume":"91 ","pages":"Pages 867-882"},"PeriodicalIF":4.6,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0577907324003356/pdfft?md5=fff55fd8e650d61ae4333f408a006fb9&pid=1-s2.0-S0577907324003356-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142136526","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hybrid differential evolution algorithm for Falkner-Skan flow with rotation 带旋转的 Falkner-Skan 流动的混合微分进化算法
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-23 DOI: 10.1016/j.cjph.2024.08.019
Javaid Ali , Muhammad Rafiq , Nauman Ahmed , Sultan Alqahtani , Ilyas Khan , Abha Singh

A hybrid differential evolution algorithm is used in this work to study the rotating transport of Falkner-Skan flow. The problem is modeled as an equivalent optimization problem by using Padé rational approximation functions. The primary model of the governing partial differential equations is imposed to subjugate the error between profiles. A hybrid evolutionary algorithm based on differential evolution and a convergent version of Nelder-Mead direct search algorithm is employed to perform global exploratory search along with an enhanced exploitation to improve the accuracy of the proposed solution scheme. The resulting scheme is named as evolutionary Padé approximation (EPA) scheme. The performance of the proposed EPA scheme on the Falkner-Skan boundary value problem is investigated by considering various values of the rotation parameters. The developed optimizer in EPA scheme was able to minimize the residuals up to1010. Results are displayed graphically in order to study the effect of various types of parameters. EPA scheme determined that angular velocity increases or decreases accordingly as fluid parameter (β) and the rotation parameter (λ) but shows inverse behavior with respect to power law index(n). Similarly, the response of velocity profile along yaxis was decreasing function of β as well as n but increasing function of λ. The performance of the proposed EPA scheme has been demonstrated by comparing results with a hybrid neural network scheme and found in excellent agreement.

本研究采用混合微分进化算法来研究 Falkner-Skan 流的旋转传输问题。通过使用 Padé 有理近似函数,将问题建模为等效优化问题。为了减小剖面之间的误差,对控制偏微分方程的主模型进行了限制。在差分进化算法和 Nelder-Mead 直接搜索算法收敛版本的基础上,采用了一种混合进化算法来执行全局探索搜索,同时加强开发利用,以提高拟议求解方案的准确性。由此产生的方案被命名为进化帕代近似(EPA)方案。通过考虑不同的旋转参数值,研究了所提出的 EPA 方案在 Falkner-Skan 边界值问题上的性能。在 EPA 方案中开发的优化器能够将残差最小化至 10-10。研究结果以图表形式显示,以研究各类参数的影响。EPA 方案确定,角速度随流体参数 (β) 和旋转参数 (λ) 的变化而相应增大或减小,但与幂律指数 (n) 呈反比。同样,沿 y 轴的速度剖面响应是 β 和 n 的递减函数,但却是 λ 的递增函数。 通过将结果与混合神经网络方案进行比较,证明了所提出的 EPA 方案的性能,并发现两者非常一致。
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引用次数: 0
A mathematical modeling of light-induced bioconvection in an isotropic porous medium 各向同性多孔介质中光诱导生物对流的数学建模
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-23 DOI: 10.1016/j.cjph.2024.08.026
S.K. Rajput, M.K. Panda

The study of bioconvection within porous medium saturated with a suspension of phototactic microorganisms is a research area of substantial importance, with wide-ranging implications in scientific and engineering disciplines. Understanding bioconvection in such systems is crucial for optimizing light distribution and reduces reliance on mechanical mixing. Hence, we examine the light-induced bioconvection in a suspension of phototactic microorganisms in an isotropic porous medium illuminated by collimated irradiation from above. The main objective of this study is to investigate the effects of key parameters such as the Darcy number, critical light intensity, and cell swimming speed on the initiation of bioconvection. The findings via linear stability analysis reveal that an increase in these parameters stimulates bioconvection, which leads to enhanced nutrient distribution within the medium. Additionally, the study reveals that the bioconvective solution transits from stationary and oscillatory types and vice-versa as the Darcy number increases. These results may help to optimize biofuel production and enhance industrial filtration processes.

研究多孔介质中饱和的趋光微生物悬浮液的生物对流是一个非常重要的研究领域,对科学和工程学科有着广泛的影响。了解此类系统中的生物对流对于优化光分布和减少对机械混合的依赖至关重要。因此,我们研究了各向同性多孔介质中光趋性微生物悬浮液在上方准直照射下的光诱导生物对流。本研究的主要目的是探讨达西数、临界光强和细胞游动速度等关键参数对生物对流启动的影响。通过线性稳定性分析得出的结果表明,这些参数的增加会刺激生物对流,从而促进营养物质在介质中的分布。此外,研究还发现,随着达西数的增加,生物对流溶液会从静止型过渡到振荡型,反之亦然。这些结果可能有助于优化生物燃料生产和改进工业过滤过程。
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引用次数: 0
Modeling compact objects with quark matter and dark energy: A comparative study of the radial oscillation modes of HESS J1731-347 and PSR J0740+6620 用夸克物质和暗能量模拟紧凑天体:HESS J1731-347 和 PSR J0740+6620 的径向振荡模式比较研究
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-23 DOI: 10.1016/j.cjph.2024.08.024
Camila Sepúlveda, Grigoris Panotopoulos

We model the massive pulsar J0740+6620 and the light HESS J1731-347 compact object assuming (i) quark matter and (ii) dark energy stars. Within Einstein’s General Relativity, and assuming objects made of isotropic matter, we adopt analytic equations-of-state for both matter contents. Although the inner composition of the objects is very different in each case, both equations-of-state imply qualitatively very similar mass-to-radius relationships. We compute the spectra of radial equations for all four cases and the corresponding wave functions as well as the large frequency separations. A comparison between the different matter contents is made as well.

我们模拟了大质量脉冲星 J0740+6620 和轻型 HESS J1731-347 小型天体,假定 (i) 夸克物质和 (ii) 暗能量恒星。在爱因斯坦广义相对论中,假设天体由各向同性物质构成,我们对两种物质内容都采用了解析状态方程。虽然在每种情况下,天体的内部组成都非常不同,但这两种状态方程都意味着质量与半径的关系非常相似。我们计算了所有四种情况下的径向方程谱、相应的波函数以及大频率分离。我们还对不同的物质含量进行了比较。
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引用次数: 0
Perfect vortex beams generation based on reflective geometric phase metasurfaces 基于反射几何相位元面的完美涡流束生成技术
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-22 DOI: 10.1016/j.cjph.2024.08.028
Xiujuan Liu , Yanling Li , Guoping Yao , Chenxia Li , Bo Fang , Ying Tang , Zhi Hong , Xufeng Jing

Perfect vortex beam (PVB) is a propagating light field with radial intensity distribution independent of topological charge and carrying orbital angular momentum (OAM). PVBs can be generated through the Fourier transformation of a Bessel-Gaussian (BG) beam, which traditionally requires a precisely aligned optical setup consisting of a spiral phase plate, a conical lens, and a Fourier lens. However, such traditional schemes are usually bulky and unstable. Here, we have utilized a method that differs from conventional approaches, employing metasurfaces designed as planar Pancharatnam-Berry (PB) phase elements to substitute for all the required components. Unlike traditional methods based on reflective or refractive elements, metasurface elements can significantly reduce the system's footprint. Because the use of metallic metasurfaces allows for a more flattened design plane, in this paper, we have demonstrated the generation of PVB within the 8 GHz microwave frequency band based on a single-layer metallic metasurface. The metasurface is composed of a square ring metal structure, which can serve as a half wave plate to provide the required geometric phase distribution for incident circularly polarized light to generate PVB. By rigorously optimizing the parameters of the square-ring structures, we have generated vortex beams carrying OAM with different topological charges. These vortex beams exhibit a constant radial intensity distribution, which validates their "perfect" characteristics. In addition, we also extracted the mode purity of different vortex beams, so that the mode states of different vortex beams can be distinguished. These results provide broader value for the application of perfect vortex beams in communication.

完美涡旋光束(PVB)是一种径向强度分布与拓扑电荷无关且携带轨道角动量(OAM)的传播光场。PVB 可通过贝塞尔-高斯(BG)光束的傅立叶变换产生,传统上需要精确对准的光学装置,包括螺旋相位板、锥形透镜和傅立叶透镜。然而,这种传统方案通常既笨重又不稳定。在这里,我们采用了一种有别于传统方法的方法,即利用设计成平面 Pancharatnam-Berry (PB) 相位元件的元表面来替代所有所需元件。与基于反射或折射元件的传统方法不同,元表面元件可以显著减少系统的占地面积。由于使用金属元表面可以使设计平面更加扁平,我们在本文中演示了基于单层金属元表面在 8 GHz 微波频段内产生 PVB。该元表面由方形环状金属结构组成,可用作半波板,为入射圆偏振光提供生成 PVB 所需的几何相位分布。通过严格优化方环结构的参数,我们产生了携带不同拓扑电荷的 OAM 的涡旋光束。这些涡旋光束表现出恒定的径向强度分布,验证了其 "完美 "特性。此外,我们还提取了不同涡旋束的模式纯度,从而可以区分不同涡旋束的模式状态。这些结果为完美涡束在通信领域的应用提供了更广泛的价值。
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引用次数: 0
Convection instability in a vertical porous Brinkman fluid layer with uniform horizontal throughflow 具有均匀水平通流的垂直多孔布林克曼流体层中的对流不稳定性
IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-08-22 DOI: 10.1016/j.cjph.2024.08.027
Ke Shi , Beinan Jia , Jialu Wang , Yongjun Jian

The present paper examines the effect of a uniform horizontal throughflow on the linear stability of buoyancy-driven convection in an infinite vertical fluid layer saturating a Brinkman porous medium. Two different constant temperature distributions are assigned on the rigid-permeable boundaries, so that there exists a horizontal temperature gradient. The resulting eigenvalue problem is solved numerically using the Chebyshev collocation method. The neutral stability curves are presented, and the critical values of the Rayleigh number are calculated for various prescribed values of the governing parameters. The onset of convection relies on several dimensionless parameter values of Darcy number Da, Péclet number Pe (it determines the strength of the horizontal throughflow), and Darcy-Prandtl number PrD. It is shown that there exists a critical value of the throughflow parameter Pe, which will increase with Da. Below the critical value of Pe, critical Rayleigh number Rac becomes smaller with the increase of Pe, which means the horizontal throughflow has a destabilizing effect. However, when Pe is larger than the critical value, an opposite conclusion can be drawn and the horizontal throughflow has a stabilizing effect. Moreover, the influence of the PrD on convection instability exhibits a dual behavior depending on Pe. The PrD stabilizes the system when Pe is small, and it destabilizes the system when Pe is large.

本文研究了在布林克曼多孔介质饱和的无限垂直流体层中,均匀水平贯通流对浮力驱动对流线性稳定性的影响。在刚性-渗透边界上分配了两种不同的恒温分布,因此存在水平温度梯度。由此产生的特征值问题采用切比雪夫配位法进行数值求解。文中给出了中性稳定曲线,并计算了各种规定参数值下的雷利数临界值。对流的发生取决于达西数 Da、佩克莱特数 Pe(它决定了水平贯流的强度)和达西-普朗特尔数 PrD 等几个无量纲参数值。结果表明,存在一个随 Da 值增大而增大的通流参数 Pe 临界值。在 Pe 临界值以下,临界瑞利数 Rac 会随着 Pe 的增大而变小,这意味着水平贯穿流具有失稳效应。然而,当 Pe 大于临界值时,可以得出相反的结论,水平贯流具有稳定作用。此外,PrD 对对流不稳定性的影响根据 Pe 的不同表现出双重性。当 Pe 小于临界值时,PrD 会稳定系统;当 Pe 大于临界值时,PrD 会破坏系统稳定。
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Chinese Journal of Physics
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