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Parallel Monitoring of the Dynamics of Oxygen and Water Molecule Concentrations under the Action of a Glow Discharge Using Diode Laser Spectroscopy 用二极管激光光谱并行监测辉光放电作用下氧和水分子浓度的动态
IF 1.1 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-12-26 DOI: 10.3103/S1541308X24700419
A. V. Bernatskiy, I. V. Kochetov, V. V. Lagunov, V. N. Ochkin

A two-wavelength diode laser spectrometer has been developed and simultaneous changes in the concentrations of water and oxygen molecules in their mixtures with helium were observed. The concentrations behavior has been investigated at different stages: at the gas injection cycle into an evacuated tube, during burning of a DC glow discharge and at the phase after its shutdown. The measurements were carried out by the absorption of light on weak lines of vibrational-rotational intermode transitions of H2O and spin-forbidden electron transitions of O2 at reduced pressures of several millibars with concentration sensitivities of 1014 and 1015 cm–3, respectively. Under such conditions, in addition to homogeneous interactions, heterogeneous interactions of particles with each other and with active surface centers are significant in the formation of the chemical composition of gases. It has been established that for different molecules that are stable under normal conditions, the concentrations at the discharge stage and its afterglow may not correspond to each other. This depends on the type of molecule, the composition of the plasma-forming mixture containing these molecules, the conditions of preparation and the operating mode of the reactor; imbalances of elements in the bulk phase are noted. The experimental results were interpreted using a plasma-chemical kinetic model of a direct current discharge in an O2–He–H2O gas mixture taking into account the interactions of electrons, ions and neutral particles in the ground and excited states. In addition to solving the kinetic equations for chemical reactions and the Boltzmann equation for electron energy distribution function, the model provides the profiles of gas temperatures and axial electric field strengths, and takes into account the effect of heating of the neutral gas in the non-equilibrium discharge plasma on the measurement results. To explain the imbalance of elements, in addition to the known heterogeneous processes of particle recombination, it is postulated that previously undiscussed chemical reactions of the decay products of the initial molecules in the plasma occur with particles adsorbed on the walls at the stage of filling the reactor with the plasma-forming gas. The model satisfactorily describes the results of measurements of particle concentrations in the discharge and afterglow stages, and the main macroscopic parameters of the discharge.

研制了一种双波长二极管激光光谱仪,观察了水和氧分子与氦混合时浓度的同时变化。研究了不同阶段的浓度行为:在气体注入真空管的循环中,在直流辉光放电燃烧期间以及在其关闭后的阶段。在减压数毫巴的条件下,用浓度灵敏度分别为1014和1015 cm-3的H2O的振动-旋转模间跃迁和O2的自旋禁止电子跃迁的微弱谱线吸收光进行了测量。在这种条件下,除了均匀相互作用外,粒子之间的非均相相互作用以及与活性表面中心的非均相相互作用在气体化学成分的形成中也很重要。已经确定,对于在正常条件下稳定的不同分子,放电阶段及其余辉的浓度可能不对应。这取决于分子的类型、含有这些分子的等离子体形成混合物的组成、制备条件和反应器的操作模式;注意到体相中元素的不平衡。实验结果用等离子体化学动力学模型解释了O2-He-H2O气体混合物中的直流放电,考虑了基态和激发态的电子、离子和中性粒子的相互作用。除了求解化学反应的动力学方程和电子能量分布函数的玻尔兹曼方程外,该模型还提供了气体温度和轴向电场强度的分布,并考虑了非平衡放电等离子体中中性气体加热对测量结果的影响。为了解释元素的不平衡,除了已知的粒子重组的非均质过程外,假设在用等离子体形成气体填充反应器的阶段,等离子体中初始分子的衰变产物发生了先前未讨论的化学反应,粒子被吸附在壁上。该模型满意地描述了放电和余辉阶段的颗粒浓度测量结果以及放电的主要宏观参数。
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引用次数: 0
Amplitude–Phase Structure of the Sound Field in the Deep Sea 深海声场的幅相结构
IF 1.1 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-12-26 DOI: 10.3103/S1541308X24700468
S. P. Aksenov, G. N. Kuznetsov, A. N. Stepanov

Amplitude-phase characteristics of sound pressure (SP) in the deep ocean is analytically and numerically investigated under summer conditions. To this end, analytical relations are obtained, which allow calculating and comparing space–frequency structure characteristics of water, leaky, and trapped modes, as well as of the SP field formed by the mode sum. The calculations are performed using the modified Wentzel–Kramers–Brillouin approximation. It is shown that modes of different types dominate at different distances, and this enables describing structure variability of both the amplitude and the phase distribution of the SP field in different zones with a different mode composition. It is found that in the field based on the sum of all modes the mode properties more distinctly manifested at various distances are of those modes which dominate at these distances. As a consequence, space–frequency structures of SP amplitudes are substantially different in different zones. But, due to stability of phase gradients in zones of interference maxima, phase surfaces coincide in shape for all types of modes, all frequencies, and almost all distances. Some difference is only observed for leaky modes in the near-field zone. Numerical values of effective phase velocities of the summed field depend, as expected, on phase velocities of modes of various types and on their “extinction” rate, and they are appreciably different in different zones. This should be taken into account during direction finding and estimation of noise source coordinates.

本文对夏季条件下深海声压的幅相特性进行了分析和数值研究。为此,得到了解析关系,可以计算和比较水模态、漏模态、困模态以及模态和形成的SP场的空频结构特征。使用改进的Wentzel-Kramers-Brillouin近似进行计算。结果表明,不同类型的模态在不同的距离上占主导地位,这使得描述具有不同模态组成的不同区域SP场振幅和相位分布的结构变异性成为可能。在基于所有模态和的场中,模态性质在不同距离上更明显地表现为在这些距离上占主导地位的模态。因此,在不同的区域,SP振幅的空间频率结构有很大的不同。但是,由于相位梯度在干涉最大值区域的稳定性,对于所有类型的模式、所有频率和几乎所有距离,相位表面的形状都是一致的。仅在近场区漏模处观察到一些差异。和场的有效相速度数值取决于不同类型模态的相速度及其“消光”速率,并且在不同的区域有明显的差异。在测向和估计噪声源坐标时应考虑到这一点。
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引用次数: 0
Experimental Method for Investigation of Rotational Spectra of Heavy Molecules at Their Interaction with the Microwave Field at Frequencies of 2–4 GHz 重分子与微波场相互作用时旋转光谱的实验研究方法
IF 1.1 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-12-26 DOI: 10.3103/S1541308X24700432
I. E. Ivanov, D. E. Dias Mikhailova, V. V. Strelkov, P. S. Strelkov, D. V. Shumeiko

An experimental setup based on a powerful ultrawideband microwave source is devised to investigate absorption spectra of gaseous substances. A technique is developed for measuring the absorption coefficient of a substance. It is based on detection of a change in the spectrum of microwave radiation on its passing through the substance under study and is therefore low sensitive to features of the incident radiation spectrum. The accuracy is further increased by multiple repetition of measurements. Rotational spectra of organofluorine compound C4F9I vapor are investigated. In the spectral range under consideration, a number of microwave radiation absorption peaks are observed in this compound.

设计了一种基于强大的超宽带微波源的实验装置,用于研究气态物质的吸收光谱。提出了一种测量物质吸收系数的方法。它是基于探测微波辐射通过所研究物质时光谱的变化,因此对入射辐射光谱的特征不太敏感。通过多次重复测量,精度进一步提高。研究了有机氟化合物C4F9I蒸气的旋转光谱。在所考虑的光谱范围内,在该化合物中观察到许多微波辐射吸收峰。
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引用次数: 0
Specific Features of Laser Modification of Thin Ge2Sb2Te5 Films by the HG01 Mode HG01模式激光改性Ge2Sb2Te5薄膜的特性
IF 1.1 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-12-26 DOI: 10.3103/S1541308X24700390
I. A. Budagovsky, P. A. Smirnov, A. S. Zolot’ko, P. I. Lazarenko, M. P. Smayev

Phase-change materials are very interesting and promising objects for various optical applications due to simple and high-speed switching between the amorphous and crystalline states. In this study, we consider the specific features of laser crystallization and ablation of thin amorphous Ge2Sb2Te5 films exposed to the HG01 (Hermite–Gaussian TEM01) mode of cw visible light. This exposure led to two-zone crystallization or ablation, depending on the laser intensity. Microscale two-zone ablation made it possible to observe Young’s fringes for the radiation transmitted through a sample, as in the case of two-point-source interference. This approach is promising for express analysis of the laser beam profile.

相变材料是非常有趣和有前途的对象,各种光学应用,由于简单和高速切换之间的非晶态和晶体状态。在这项研究中,我们考虑了暴露在连续波可见光的HG01 (Hermite-Gaussian TEM01)模式下的非晶Ge2Sb2Te5薄膜的激光结晶和烧蚀的具体特征。这种曝光导致两区结晶或烧蚀,取决于激光强度。微尺度双区烧蚀使得观测通过样品的辐射的杨氏条纹成为可能,就像在两点源干涉的情况下一样。该方法有望用于快速分析激光束轮廓。
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引用次数: 0
Noise Amplification by a Relativistic Electron Beam in a Double Coaxial Plasma–Metal Waveguide 双同轴等离子体-金属波导中相对论电子束对噪声的放大
IF 1.1 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-12-26 DOI: 10.3103/S1541308X24700444
V. I. Rogozhin, A. E. Donets, A. B. Buleyko, O. T. Loza, A. G. Bykov, V. P. Bakhtin, A. A. Ravaev

Effective noise amplification is detected for the first time at the interaction of a relativistic electron beam with slow plasma waves in a coaxial plasma–metal waveguide. Unlike configurations of existing plasma masers, this configuration of the plasma–beam interaction region can be used for long operation in the pulsed-periodic mode with the hollow electron beam deposition on an easily cooled collector. In addition, the internal metal conductor at the ground potential increases the limiting vacuum current of the electron beam and the current at which the maximum transfer efficiency of the electron beam energy to the plasma wave is achieved. The electron beam with the energy of 250 keV, current of up to 1.5 kA, and duration of 2.5 ns has interacted with the plasma waves with the measured concentration of up to 3 × 1013 cm–3. A radiation spectrum from 2 to 6 GHz with the power of up to 70 MW is recorded.

在同轴等离子体-金属波导中,首次检测到相对论电子束与慢等离子体波相互作用时的有效噪声放大。与现有等离子体微波激射器的配置不同,这种等离子体束相互作用区域的配置可以在脉冲周期模式下长时间运行,空心电子束沉积在易于冷却的收集器上。此外,在地电位处的内部金属导体增加了电子束的极限真空电流和电子束能量到等离子体波的最大传输效率达到的电流。用能量为250kev、电流为1.5 kA、持续时间为2.5 ns的电子束与等离子体波相互作用,测得的等离子体波浓度高达3 × 1013 cm-3。记录了2至6 GHz的辐射频谱,功率高达70 MW。
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引用次数: 0
Optical Bistability in Vanadium Dioxide Photonic Crystals Engineered with One-Dimensional Fibonacci Sequences 用一维斐波那契序列工程的二氧化钒光子晶体的光学双稳定性
IF 1.1 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-12-26 DOI: 10.3103/S1541308X24700407
S. Taherzadeh, A. Keshavarz

In this study, we investigate optical bistability in one-dimensional photonic crystals using Fibonacci layer sequences. We introduce a novel approach by incorporating vanadium dioxide (VO2) into these sequences, deposited on a glass substrate with a negative refractive index material. Our works reveal significant high transmission peaks in the microwave spectrum, characterized by both optical bistability and multistability. We explore the theoretical implications of various parameters, including the VO2 filling fraction, layer thickness, and incidence angle, on light transmission within this novel structure. Additionally, we demonstrate how temperature and phase variations in the VO2 layer can modulate transmission peak characteristics and induce optical bistability. These adaptable structures show considerable promise for developing optical devices with controlled transmission peaks, with potential applications ranging from optical switches to tunable microwave filters. The observation of optical bistability at critical transmission wavelengths in the microwave range represents a highly desirable outcome with broad implications.

在这项研究中,我们利用斐波那契层序列研究了一维光子晶体的光学双稳定性。我们引入了一种新的方法,将二氧化钒(VO2)结合到这些序列中,沉积在具有负折射率材料的玻璃衬底上。我们的工作揭示了微波光谱中明显的高透射峰,具有光学双稳定和多稳定的特征。我们探讨了各种参数,包括VO2填充分数、层厚度和入射角,对这种新型结构内光传输的理论意义。此外,我们证明了VO2层的温度和相位变化如何调制传输峰特性并诱导光学双稳性。这些自适应结构在开发具有可控传输峰的光学器件方面显示出相当大的前景,其潜在应用范围从光开关到可调谐微波滤波器。在微波范围内的关键传输波长的光学双稳性的观察是一个非常理想的结果,具有广泛的意义。
{"title":"Optical Bistability in Vanadium Dioxide Photonic Crystals Engineered with One-Dimensional Fibonacci Sequences","authors":"S. Taherzadeh,&nbsp;A. Keshavarz","doi":"10.3103/S1541308X24700407","DOIUrl":"10.3103/S1541308X24700407","url":null,"abstract":"<p>In this study, we investigate optical bistability in one-dimensional photonic crystals using Fibonacci layer sequences. We introduce a novel approach by incorporating vanadium dioxide (VO<sub>2</sub>) into these sequences, deposited on a glass substrate with a negative refractive index material. Our works reveal significant high transmission peaks in the microwave spectrum, characterized by both optical bistability and multistability. We explore the theoretical implications of various parameters, including the VO<sub>2</sub> filling fraction, layer thickness, and incidence angle, on light transmission within this novel structure. Additionally, we demonstrate how temperature and phase variations in the VO<sub>2</sub> layer can modulate transmission peak characteristics and induce optical bistability. These adaptable structures show considerable promise for developing optical devices with controlled transmission peaks, with potential applications ranging from optical switches to tunable microwave filters. The observation of optical bistability at critical transmission wavelengths in the microwave range represents a highly desirable outcome with broad implications.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"32 6","pages":"401 - 409"},"PeriodicalIF":1.1,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Structural Phase Transitions in an Adsorbed Chlorine Layer on a Pre-Oxidized Ag(111) Surface 预氧化银(111)表面吸附氯层的结构相变
IF 1.1 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-12-26 DOI: 10.3103/S1541308X24700456
B. V. Andryushechkin, T. V. Pavlova, V. M. Shevlyuga

The structural transformations occurring in a chlorine monolayer on a previously oxidized Ag(111) surface, containing Ag6O6 oxide rings centered at vacancies in the upper silver layer, were investigated using scanning tunneling microscopy (STM) and density functional theory (DFT) calculations. It is found that, at a temperature of 80 K in the initial stage, chlorine atoms form chain structures in the gaps between oxide rings. As the coverage increases, chlorine forms domains having a uniaxially compressed structure, with boundaries determined by the local oxide. Continued Cl2 adsorption leads to condensation of molecular chlorine. Annealing of the resulting system to 300 K causes significant structural transformations on the surface, resulting in the formation of islands of (20–30) Å in size with the reconstruction Ag(111)-(3 × 3)-Cl, as well as chains of objects with a height of ≈1 Å. Based on the DFT calculations these objects were found to be O–Cl quasi-molecules, formed by surface oxygen atoms and adsorbed chlorine atoms.

利用扫描隧道显微镜(STM)和密度泛函理论(DFT)计算研究了先前氧化的Ag(111)表面上的氯单分子层中发生的结构转变,该层中含有以银层空位为中心的Ag6O6氧化环。结果表明,在初始阶段温度为80k时,氯原子在氧化环间隙中形成链状结构。随着覆盖范围的增加,氯形成具有单轴压缩结构的结构域,其边界由局部氧化物决定。持续的Cl2吸附导致氯分子的缩合。将所得到的体系退火到300 K时,表面发生了显著的结构转变,形成了大小为(20-30)Å的岛,重构为Ag(111)-(3 × 3)- cl,以及高度为≈1 Å的物体链。根据DFT计算,发现这些物体是由表面氧原子和吸附的氯原子形成的O-Cl准分子。
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引用次数: 0
DFT Modeling of L-Lactide Decamer Structure and Raman Spectrum with Electron Density Functionals of Hybrid and GGA Type 杂化和GGA型电子密度泛函对l -丙交酯十聚体结构和拉曼光谱的DFT建模
IF 1.1 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-12-26 DOI: 10.3103/S1541308X24700420
S. O. Liubimovskii, L. Yu. Ustynyuk, V. S. Novikov, K. T. Kalinin, N. G. Sedush, S. N. Chvalun, S. V. Gudkov, M. N. Moskovskiy, G. Yu. Nikolaeva

Sixteen approximations of the density functional theory for calculating the structure and Raman spectra of the most stable α-phase of poly(L-lactide) (PLLA) with an orthorhombic crystalline lattice have been analyzed. It is shown that the GGA functionals OLYP and PBE provide good correspondence with experimental X-ray diffraction and Raman spectroscopy data. It is found that, when using extended basis sets of three- and four-exponential types, the choice of the functional affects the calculation results much more radically than the choice of the basis set.

本文分析了用于计算具有正交晶格的聚l -丙交酯(PLLA)最稳定α-相结构和拉曼光谱的密度泛函理论的16种近似。结果表明,GGA官能团OLYP和PBE与实验x射线衍射和拉曼光谱数据具有良好的对应关系。研究发现,当使用三指数型和四指数型扩展基集时,泛函的选择对计算结果的影响远大于基集的选择。
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引用次数: 0
Nonlinear Effects in Thermoacoustic Pressure Generation Mechanism—Analytic Models 热声压力产生机制中的非线性效应--分析模型
IF 1.1 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-27 DOI: 10.3103/S1541308X24700377
A. A. Samokhin, P. A. Pivovarov, L. A. Burtsev

Abstract—Influence of nonlinear hydrodynamic effects on formation of pressure pulses investigated in condensed media under pulsed actions leading to fast local variation in their density. In contrast to the ordinary thermoacoustic mechanism where density variation is caused by absorption of the incident radiation energy, models with the given space–time perturbation of density in an incompressible fluid are considered. It is shown how hydrodynamic nonlinearities give rise to transformation of a pressure pulse generated at different perturbation amplitudes and durations.

摘要-研究了非线性流体力学效应对凝聚介质在脉冲作用下形成压力脉冲的影响,脉冲作用导致凝聚介质密度的快速局部变化。在普通热声机制中,密度变化是由入射辐射能量的吸收引起的,与此相反,我们考虑了不可压缩流体中密度的时空扰动模型。研究显示了流体力学非线性如何导致在不同扰动振幅和持续时间下产生的压力脉冲发生转变。
{"title":"Nonlinear Effects in Thermoacoustic Pressure Generation Mechanism—Analytic Models","authors":"A. A. Samokhin,&nbsp;P. A. Pivovarov,&nbsp;L. A. Burtsev","doi":"10.3103/S1541308X24700377","DOIUrl":"10.3103/S1541308X24700377","url":null,"abstract":"<p><b>Abstract</b>—Influence of nonlinear hydrodynamic effects on formation of pressure pulses investigated in condensed media under pulsed actions leading to fast local variation in their density. In contrast to the ordinary thermoacoustic mechanism where density variation is caused by absorption of the incident radiation energy, models with the given space–time perturbation of density in an incompressible fluid are considered. It is shown how hydrodynamic nonlinearities give rise to transformation of a pressure pulse generated at different perturbation amplitudes and durations.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"32 5","pages":"378 - 381"},"PeriodicalIF":1.1,"publicationDate":"2024-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142518747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Resonant Plasmonic Structures for Spintronic THz Emitters 用于自旋电子太赫兹发射器的共振等离子结构
IF 1.1 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-27 DOI: 10.3103/S1541308X24700316
A. M. Buryakov, A. V. Gorbatova, S. D. Lavrov

The laws of amplification of electromagnetic fields in thin ferromagnetic films due to the local surface plasmon resonance have been investigated for structures of spintronic THz emitters. The optimal parameters of Pt/Co and Pt/Co/W plasmonic structures, providing maximum optical absorption in the films at a wavelength of 800 nm, have been determined using numerical simulation. The results show that the use of plasmonic structures makes it possible to increase the optical absorption in Pt/Co and Pt/Co/W structures to 25 and 18%, respectively. The structures are found to have high polarization sensitivity, which manifests itself in high absorption anisotropy, equal to 0.9.

针对自旋电子太赫兹发射器的结构,研究了局部表面等离子体共振导致铁磁薄膜中电磁场放大的规律。通过数值模拟确定了 Pt/Co 和 Pt/Co/W 等离子体结构的最佳参数,这些参数可使薄膜在 800 纳米波长处产生最大光吸收。结果表明,使用质子结构可以将 Pt/Co 和 Pt/Co/W 结构的光吸收分别提高到 25% 和 18%。这些结构具有很高的极化灵敏度,表现为很高的吸收各向异性,相当于 0.9。
{"title":"Resonant Plasmonic Structures for Spintronic THz Emitters","authors":"A. M. Buryakov,&nbsp;A. V. Gorbatova,&nbsp;S. D. Lavrov","doi":"10.3103/S1541308X24700316","DOIUrl":"10.3103/S1541308X24700316","url":null,"abstract":"<p>The laws of amplification of electromagnetic fields in thin ferromagnetic films due to the local surface plasmon resonance have been investigated for structures of spintronic THz emitters. The optimal parameters of Pt/Co and Pt/Co/W plasmonic structures, providing maximum optical absorption in the films at a wavelength of 800 nm, have been determined using numerical simulation. The results show that the use of plasmonic structures makes it possible to increase the optical absorption in Pt/Co and Pt/Co/W structures to 25 and 18%, respectively. The structures are found to have high polarization sensitivity, which manifests itself in high absorption anisotropy, equal to 0.9.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"32 5","pages":"320 - 327"},"PeriodicalIF":1.1,"publicationDate":"2024-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142518969","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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Physics of Wave Phenomena
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