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Nonreciprocal transmission in composite structure with Weyl semimetal defect layer 带有韦尔半金属缺陷层的复合结构中的非互易传输
Pub Date : 2024-03-14 DOI: 10.1515/zna-2023-0302
Xin Chen, Guanxia Yu, Haodong Wang
A two-unit symmetrical composite structure with the WSMs defect layer was designed. The energy band and transmission properties are studied based on the transfer matrix theory. Due to the WSMs with the property of time-reversal breaking, the nonreciprocal Tamm states for forward and backward incidence are excited in the interface of the symmetrical composite structure. The numerical results show that the nonreciprocity of the Tamm states is enhanced with an increase in the WSMs thickness. By choosing the appropriate geometric parameters of dielectric layers, two pairs of nonreciprocal dispersive curves are obtained in the two-band gap. The present scenario can be applied in some areas, such as optical isolators and multi-channel nonreciprocal transmission devices.
设计了一种带有 WSMs 缺陷层的双单元对称复合结构。基于传递矩阵理论研究了其能带和传输特性。由于 WSMs 具有时间反向断裂的特性,对称复合结构的界面上激发了正向和反向入射的非互易 Tamm 态。数值结果表明,随着 WSM 厚度的增加,Tamm 态的非互易性增强。通过选择适当的介电层几何参数,可以在双带间隙中获得两对非互易色散曲线。本方案可应用于一些领域,如光隔离器和多通道非互易传输设备。
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引用次数: 0
Stability analysis of thermosolutal convection in a rotating Navier–Stokes–Voigt fluid 旋转纳维-斯托克斯-沃伊特流体中热固性对流的稳定性分析
Pub Date : 2024-03-14 DOI: 10.1515/zna-2023-0284
Sweta Sharma, Sunil, Poonam Sharma
This work presents nonlinear and linear analyses of the rotating Navier–Stokes–Voigt fluid layer that is simultaneously heated and soluted from below, considering different boundary surfaces. The energy method is used to form the eigenvalue problem for nonlinear analysis, whereas the normal mode analysis is used for the linear analysis. The Rayleigh number is numerically calculated by employing the Galerkin technique. Both nonlinear and linear analyses yield the same Rayleigh number, indicating the absence of subcritical regions and implying global stability. The Kelvin–Voigt parameter doesn’t affect the Rayleigh number for stationary convection. However, the crucial role of this parameter is established through an energy argument. The presence of rotation, Kelvin–Voigt parameter, and solute gradient give rise to oscillatory modes. Also, the effects of rotation and solute gradient are stabilizing on the system, whereas the stabilizing effect of the Kelvin–Voigt parameter becomes evident when convection exhibits an oscillatory behavior.
本研究对同时从下方加热和溶解的旋转 Navier-Stokes-Voigt 流体层进行了非线性和线性分析,并考虑了不同的边界表面。在非线性分析中使用能量法来形成特征值问题,而在线性分析中则使用法模分析。雷利数采用伽勒金技术进行数值计算。非线性分析和线性分析都得出了相同的瑞利数,表明不存在次临界区域,并意味着全局稳定性。Kelvin-Voigt 参数对静止对流的瑞利数没有影响。然而,通过能量论证可以确定该参数的关键作用。旋转、Kelvin-Voigt 参数和溶质梯度的存在会产生振荡模式。此外,旋转和溶质梯度对系统的影响是稳定的,而当对流表现出振荡行为时,开尔文-伏依格特参数的稳定作用就变得明显了。
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引用次数: 0
Evolution of shock waves in dusty nonideal gas flow with magnetic field 尘埃状非理想气体流中的冲击波随磁场的演变
Pub Date : 2024-03-07 DOI: 10.1515/zna-2023-0254
Shweta, Pradeep, S. Srivastava, L. P. Singh
This paper deals with the study of propagation of shock waves in 2-D steady supersonic magnetogasdynamics flow of nonideal dusty gas using wavefront analysis method. We derived the transport equation, which determines the condition for the shock formation. Our aim is to analyze the effect of interaction of dust particles with magnetic field in nonideal gas on the evolution of shock formation and to examine how the flow patterns of the disturbance vary with respect to the variations in the physical parameters of the medium. It is found that the presence of magnetic field plays an essential role in the wave propagation phenomena. The nature of the solution with respect to the Mach number is analyzed, and it is examined how the shock formation distance changes with an increase or decrease in the value of Mach number. Also, the combined effect of nonidealness, magnetic field, and dust particles on the shock formation distance is elucidated and examined how the formation of shocks is affected by the increase in the value of corresponding physical parameters.
本文利用波前分析方法研究了冲击波在非理想含尘气体的二维稳定超音速磁气动力流中的传播。我们导出了决定冲击形成条件的传输方程。我们的目的是分析非理想气体中尘埃粒子与磁场的相互作用对冲击形成演化的影响,并研究扰动的流动模式如何随介质物理参数的变化而变化。研究发现,磁场的存在对波的传播现象起着至关重要的作用。分析了与马赫数有关的解的性质,并研究了冲击形成距离如何随马赫数值的增减而变化。此外,还阐明了非理想性、磁场和尘埃粒子对冲击形成距离的综合影响,并研究了冲击的形成如何受到相应物理参数值增加的影响。
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引用次数: 0
Analysis of microstrip low pass filter at terahertz frequency range in finite difference time domain method for radar applications 用有限差分时域法分析雷达应用太赫兹频率范围内的微带低通滤波器
Pub Date : 2024-03-06 DOI: 10.1515/zna-2023-0329
K. S. Lavanya, N. Vijayalakshmi, S. Preethi
Terahertz Technology is a promising newer technology for various applications in wireless and radar communication namely tracking and detecting radar targets. The challenging aspect of radar transmitters in the target detection process is spurious harmonic signals that affect the communication path between radar transceivers. The spurious signal can be neglected by a strong filtering method. Filtering is vital in radar transmission to avoid high spurious emission level signals. Low pass filtering at terahertz frequency range (LPFT) in microstrip structure defined in the chapter analysis to avoid the harmonics above the cut-off frequency. In this chapter, the analysis part of microstrip structured LPFT is implemented under finite difference time domain analysis at (0.3 THz to 0.5 THz) cut-off frequency. Finite difference time domain (FDTD) is the three-dimensional approach commonly used for the analysis in higher frequency applications. In this FDTD method, Maxwell equation’s partial derivatives are centred to finite frequency by discretization. LPFT 3D-plot is characterized by the signal factors of the input signal, reflected signal, and passed signal concerning time. Scattering parameters |s11| and |s21| are characterized by frequency and magnitude plots with an insertion loss of 0.3 dB. Full-wave analysis of LPFT is compared with Chebyshev and Butterworth filter at terahertz cut-off range is implemented. The comparison plot of attenuation versus relative frequency and characteristic impedance versus dielectric constant is shown with FDTD results with good agreement.
太赫兹技术是一种前景广阔的新技术,可用于无线和雷达通信领域的各种应用,即跟踪和探测雷达目标。雷达发射器在目标探测过程中面临的挑战是影响雷达收发器之间通信路径的杂散谐波信号。杂散信号可以通过强滤波方法忽略。在雷达传输中,滤波对避免高杂散发射电平信号至关重要。本章分析了太赫兹频率范围内微带结构的低通滤波(LPFT),以避免高于截止频率的谐波。在本章中,微带结构 LPFT 的分析部分是在截止频率(0.3 太赫兹至 0.5 太赫兹)的有限差分时域分析下实现的。有限差分时域(FDTD)是一种三维方法,常用于较高频率应用的分析。在这种 FDTD 方法中,麦克斯韦方程的偏导数通过离散化集中到有限频率。LPFT 三维图的特征是输入信号、反射信号和通过信号的信号因子与时间的关系。散射参数 |s11| 和 |s21| 由频率和幅度图表征,插入损耗为 0.3 dB。LPFT 的全波分析与太赫兹截止范围内的切比雪夫和巴特沃斯滤波器进行了比较。衰减与相对频率的对比图以及特性阻抗与介电常数的对比图与 FDTD 结果一致。
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引用次数: 0
Calibration-free approaches for quantitative analysis of a brass sample 黄铜样品定量分析的免校准方法
Pub Date : 2024-03-06 DOI: 10.1515/zna-2023-0280
Vikas Gupta, Abhishekh Kumar Rai, Tejmani Kumar, Akash Kumar Tarai, Manoj Kumar Gundawar, A. K. Rai
Calibration-free laser-induced breakdown spectroscopy (CF-LIBS) is successfully employed to determine the chemical composition of brass samples using the LIBS technique. The sample is irradiated with a Q-switched Nd: YAG laser with a pulse width of 5 ns to generate laser-induced plasma (LIP) on the sample surface. The time evolution spectra were recorded from the surface of the brass sample only with an accumulation of five laser shots to get one LIP spectrum. Time-resolved LIP spectra have been utilized to identify the most appropriate time window (where the plasma is optically thin and in local thermal equilibrium) suitable for CF-LIBS implementation. Stoichiometric ablation is also demonstrated for metallic brass samples with the aforementioned laser in the present study. To obtain definitive quantitative information from LIP, the characterization of the plasma, i.e., spectral line intensity, spectral line broadening, electron number density, and plasma temperature, has been analyzed in this paper. Based on two different CF-LIBS algorithms, the brass sample composition was determined and found to be in good agreement with the certified results. This paper also compares and contrasts both strategies, as well as discusses their place and importance. The results of the present manuscript illustrate the potential applicability of CF-LIBS for yielding precise and accurate compositions of brass.
免校准激光诱导击穿光谱(CF-LIBS)被成功地用于利用 LIBS 技术测定黄铜样品的化学成分。使用脉宽为 5 ns 的 Q 开关 Nd: YAG 激光照射样品,在样品表面产生激光诱导等离子体 (LIP)。仅从黄铜样品表面记录时间演化光谱,累计五次激光照射获得一次 LIP 光谱。时间分辨 LIP 光谱被用来确定最适合 CF-LIBS 实施的时间窗口(等离子体光学稀薄且处于局部热平衡状态)。本研究还利用上述激光对金属黄铜样品进行了定量烧蚀。为了从 LIP 中获得确切的定量信息,本文分析了等离子体的特征,即光谱线强度、光谱线展宽、电子数密度和等离子体温度。根据两种不同的 CF-LIBS 算法,确定了黄铜样品的成分,发现与认证结果十分吻合。本文还比较和对比了这两种策略,并讨论了它们的地位和重要性。本手稿的结果说明了 CF-LIBS 在精确测定黄铜成分方面的潜在适用性。
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引用次数: 0
Effect of zinc doping on structural, bonding nature and magnetic properties of co-precipitated magnesium–nickel ferrites 掺锌对共沉淀镁镍铁氧体结构、键合性质和磁性能的影响
Pub Date : 2024-03-06 DOI: 10.1515/zna-2023-0323
Kannan Balakrishnan Yelai, Muthaian Charles Robert, Abinaya Nandagopal
This paper describes the electronic structure, bonding nature and magnetic properties of Mg0.5Ni0.5−x Zn x Fe2O4 (x = 0.1, 0.2, 0.3, 0.4) nano-spinel ferrite samples synthesized by the co-precipitation method. Spinel structure with Fd 3 ̄ $bar{3}$ m space group is confirmed by XRD analysis with trace amounts of hematite. The results of XRD and FTIR confirm the formation of spinel structure. The estimated average crystallite size ranges from 35 to 59 nm by different methods. The FESEM analysis revealed that the samples have a generally porous aspect. Particle size analysis indicates that the average particle size is approximately 150 nm. Covalent bond exists between the tetrahedral A site – oxygen atom (A–O) and ionic nature exists between the octahedral B site – oxygen atom (B–O) in the two sub lattices of the ferrite unit cell, as determined by the maximum entropy method. Mg0.5Ni0.3Zn0.2Fe2O4 demonstrates high A–O covalency and B–O covalency/ionic boundary based on MEM electron density analysis.
本文介绍了共沉淀法合成的 Mg0.5Ni0.5-x Zn x Fe2O4 (x = 0.1, 0.2, 0.3, 0.4) 纳米尖晶石铁氧体样品的电子结构、成键性质和磁性能。通过 XRD 分析证实了该样品具有 Fd 3 ̄ $bar{3}$ m 空间群的尖晶石结构,并含有痕量的赤铁矿。XRD 和傅立叶变换红外光谱的结果证实了尖晶石结构的形成。用不同的方法估算出的平均晶粒尺寸在 35 到 59 nm 之间。FESEM 分析表明,样品总体上具有多孔性。粒度分析表明,平均粒度约为 150 nm。根据最大熵法测定,在铁氧体单位晶胞的两个子晶格中,四面体 A 位点-氧原子(A-O)之间存在共价键,八面体 B 位点-氧原子(B-O)之间存在离子键。根据 MEM 电子密度分析,Mg0.5Ni0.3Zn0.2Fe2O4 表现出较高的 A-O 共价性和 B-O 共价性/离子边界。
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引用次数: 0
Robust inverse scattering analysis of discrete high-order nonlinear Schrödinger equation 离散高阶非线性薛定谔方程的稳健反散射分析
Pub Date : 2024-02-24 DOI: 10.1515/zna-2023-0295
Xue-Wei Yan, Yong Chen, Xin Wu
In this study, we present the rigorous theory of the robust inverse scattering method for the discrete high-order nonlinear Schrödinger (HNLS) equation with a nonzero boundary condition (NZBC). Using the direct scattering problem, we deduce the analyticity, symmetries, and asymptotic behaviors of the Jost solutions and scattering matrix. We also formulate the inverse scattering problem using the matrix Riemann–Hilbert problem (RHP). Furthermore, utilizing the loop group theory, we construct the multi-fold Darboux transformation (DT) within the framework of the robust inverse scattering transform. Additionally, we develop the corresponding Bäcklund transformation (BT) to obtain the multi-fold lattice soliton solutions. To derive the high-order rational solutions, we further construct the high-order DT. Finally, we theoretically and graphically analyze these solutions, which exhibit lattice breather waves, W-shape lattice solitons, high-order lattice rogue waves (RW), and their interactions.
在本研究中,我们提出了针对具有非零边界条件(NZBC)的离散高阶非线性薛定谔(HNLS)方程的鲁棒逆散射方法的严格理论。利用直接散射问题,我们推导出了约斯特解和散射矩阵的解析性、对称性和渐近行为。我们还利用矩阵黎曼-希尔伯特问题(RHP)提出了反向散射问题。此外,我们还利用环群理论,在鲁棒逆散射变换的框架内构建了多重达布变换(DT)。此外,我们还开发了相应的贝克伦德变换(BT),以获得多阶晶格孤子解。为了得出高阶有理解,我们进一步构建了高阶 DT。最后,我们从理论和图形上分析了这些解,它们表现出晶格呼吸波、W 形晶格孤子、高阶晶格流氓波(RW)以及它们之间的相互作用。
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引用次数: 0
Novel compound multistable stochastic resonance weak signal detection 新型复合多稳态随机共振弱信号探测
Pub Date : 2024-02-23 DOI: 10.1515/zna-2023-0312
Shangbin Jiao, Qiongjie Xue, Na Li, Rui Gao, Gang Lv, Yi Wang, Yvjun Li
The research on stochastic resonance (SR) which is used to extract weak signals from noisy backgrounds is of great theoretical significance and promising application. To address the shortcomings of the classical tristable SR model, this article proposes a novel compound multistable stochastic resonance (NCMSR) model by combining the Woods–Saxon (WS) and tristable models. The influence of the parameters of the NCMSR systems on the output response performance is studied under different α stable noises. Meanwhile, the adaptive synchronization optimization algorithm based on the proposed model is employed to achieve periodic and non-periodic signal identifications in α stable noise environments. The results show that the proposed system model outperforms the tristable system in terms of detection performance. Finally, the NCMSR model is applied to 2D image processing, which achieves great noise reduction and image recovery effects.
随机共振(SR)用于从噪声背景中提取微弱信号,其研究具有重要的理论意义和广阔的应用前景。针对经典三稳态随机共振模型的不足,本文结合伍兹-撒克逊(WS)模型和三稳态模型,提出了一种新型复合多稳态随机共振(NCMSR)模型。研究了不同 α 稳定噪声下 NCMSR 系统参数对输出响应性能的影响。同时,采用基于所提模型的自适应同步优化算法,实现了在α稳定噪声环境下的周期和非周期性信号识别。结果表明,所提出的系统模型在检测性能方面优于三稳态系统。最后,将 NCMSR 模型应用于二维图像处理,取得了很好的降噪和图像复原效果。
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引用次数: 0
Atom-bond-connectivity (ABC) indices of graphene sheets, zigzag single walled carbon nanotubes and single walled carbon nanotori 石墨烯薄片、之字形单壁碳纳米管和单壁碳纳米管的原子键连通性 (ABC) 指数
Pub Date : 2024-02-21 DOI: 10.1515/zna-2023-0277
Soukat Ghosh, Uday Maji, Swapnadeep Mondal, Bholanath Mandal
Atom-bond-connectivity (ABC) indices are obtained in analytical forms for graphene sheets, zigzag single walled carbon nanotubes (SWCNTs), and single walled carbon nanotori in terms of number of rings (r) that measures the length and the number of hexagons in between two rings (h) that dictates the width of the concerned systems. The procedures followed for ABC index have been used to obtain the expressions of augmented Zagreb and Randić indices for such systems. Logarithm of ABC indices of zigzag SWCNTs are found to correlate linearly well with the bond dissociation energies per C–C bond and the Young’s moduli of said SWCNTs with fixed number of rings (r) but varying number of hexagons (h) in between two successive rings. The plot of logarithm of ABC index versus Young’s modulus of such SWCNTs in varying both r and h simultaneously is not a straight line but fits well with the sigmoidal (Boltzmann) curve. Wiener index, one of the important distance based index, has recently been found to have similar correlations with the concerned properties of such systems. Similar plots would appear for the said properties of the zigzag SWCNTs with other degree-based indices like augmented Zagreb and Randić indices, as have been indicated from their respective expressions obtained.
原子键连通性(ABC)指数以分析形式获得了石墨烯薄片、之字形单壁碳纳米管(SWCNTs)和单壁碳纳米管的原子键连通性指数,其中原子键连通性指数以环的数量(r)来衡量,环的长度和两个环之间的六边形数量(h)决定了相关系统的宽度。根据 ABC 指数的计算过程,我们可以得到此类系统的增强萨格勒布指数和兰迪克指数的表达式。发现人字形 SWCNT 的 ABC 指数对数与每个 C-C 键的键解离能和上述 SWCNT 的杨氏模量呈良好的线性关系,环数(r)固定,但两个连续环之间的六边形数(h)各不相同。同时改变 r 和 h 时,此类 SWCNT 的 ABC 指数对数与杨氏模量的关系图不是一条直线,而是非常符合波尔兹曼曲线。维纳指数是基于距离的重要指数之一,最近发现它与此类系统的相关特性具有类似的相关性。人字形 SWCNT 的上述特性与其他基于度数的指数(如增强萨格勒布指数和兰迪奇指数)也会出现类似的曲线图,这已从它们各自的表达式中得到了说明。
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引用次数: 0
The effects of viscosity on the structure of shock waves in a van der Waals gas 粘度对范德华气体中冲击波结构的影响
Pub Date : 2024-02-19 DOI: 10.1515/zna-2023-0252
Raj Kumar Anand, Sewa Singh
The structure of viscous shock-front has been investigated in a van der Waals gas between the boundary conditions for x = −ε and x = +ε considering the flow of a gas to be viscous and one-dimensional. The exact solutions for the flow parameters, fluid velocity, pressure, temperature, and change-in-entropy in the shock transition region have been found in view of the equation of state for van der Waals gases. The effects due to the coefficient of viscosity, shock strength, and nonidealness parameter have been analyzed on the structure and flow variable in the shock transition region. The results confirm that the thickness of shock-front increases with increasing value of the coefficient of viscosity and decreases with increasing value of the shock strength and nonidealness parameter of the gases.
考虑到气体的流动是粘性和一维的,研究了范德华气体在 x = -ε 和 x = +ε 边界条件之间的粘性冲击前沿结构。根据范德华气体的状态方程,找到了冲击过渡区域的流动参数、流体速度、压力、温度和熵变的精确解。分析了粘度系数、冲击强度和非理想参数对冲击过渡区结构和流动变量的影响。结果证实,冲击前沿的厚度随气体粘度系数的增大而增大,随冲击强度和非理想参数的增大而减小。
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引用次数: 0
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Zeitschrift für Naturforschung A
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