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Analytical modeling of evanescent coupling in metasurface absorbers for enhanced low-frequency sound control
IF 2.1 3区 物理与天体物理
Wave Motion Pub Date : 2025-02-08 DOI: 10.1016/j.wavemoti.2025.103509
M. Červenka, M. Bednařík
{"title":"Analytical modeling of evanescent coupling in metasurface absorbers for enhanced low-frequency sound control","authors":"M. Červenka,&nbsp;M. Bednařík","doi":"10.1016/j.wavemoti.2025.103509","DOIUrl":"10.1016/j.wavemoti.2025.103509","url":null,"abstract":"<div><div>This study presents an analytical approach to model evanescent coupling in planar metasurface absorbers, specifically designed for broadband low-frequency sound absorption. While traditional absorbers rely on thick, wavelength-comparable porous materials, metasurface absorbers with deeply sub-wavelength thickness typically achieve low-frequency absorption using arrays of resonators, such as Helmholtz resonators, folded quarter-wavelength resonators, or backed micro-perforated panels. Standard surface-impedance-based models of metasurface absorbers often ignore inter-resonator coupling effects, leading to inaccuracies in frequency response predictions. Our method incorporates evanescent wave interactions between resonators, whether rectangular or circular in cross-section, arranged in regular super-cells that can repeat periodically or with mirror symmetry, which also corresponds to one super-cell placed in a rigid-walled rectangular waveguide (impedance tube). This approach reduces computational complexity significantly compared to finite element simulations, while still enabling accurate predictions of metasurface absorbing performance. Validated through comparison with two numerical finite element models, this analytical method proves effective for optimizing metasurface absorbers for low-frequency sound control. Numerical experiments further illustrate performance degradation from neglecting evanescent coupling or mismatched super-cell periodicity. Implementation MATLAB code is available on <span><span>https://github.com/MilanCervenka/Evanescent</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103509"},"PeriodicalIF":2.1,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143386311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A high order accurate hybrid technique for numerical solution of modified equal width equation
IF 2.1 3区 物理与天体物理
Wave Motion Pub Date : 2025-02-08 DOI: 10.1016/j.wavemoti.2025.103508
Emre Kirli , Serpil Cikit
{"title":"A high order accurate hybrid technique for numerical solution of modified equal width equation","authors":"Emre Kirli ,&nbsp;Serpil Cikit","doi":"10.1016/j.wavemoti.2025.103508","DOIUrl":"10.1016/j.wavemoti.2025.103508","url":null,"abstract":"<div><div>In this present study, a high-order accurate hybrid technique is developed to establish the approximate solution of Modified Equal Width (MEW) equation which is used to define solitary waves. The spatial integration is based on combining the cubic B-spline and a fourth-order compact finite-difference (FOCFD) scheme , while the temporal integration is carried out by using fourth-order Runge–Kutta (RK4) scheme. In present technique, the new approximation for the spatial second derivative is constructed by the FOCFD scheme in which the spatial second derivatives of unknowns can be written in terms of the unknowns themselves and their first derivatives. Hence, the spatial second derivative reaches the accuracy of order four, while it is represented by the accuracy of order two in the standard cubic B-spline. The stability of the suggested technique is discussed by using the concept of eigenvalue. Three test problems are examined to verify the efficiency and applicability of the suggested technique. The computed results are compared with the other numerical results in previous works. The comparisons reveal that the suggested hybrid technique provides better results with high accuracy and minimum computational effort.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"135 ","pages":"Article 103508"},"PeriodicalIF":2.1,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143418854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Numerical investigations of deep learning-assisted delamination characterization using ultrasonic guided waves
IF 2.1 3区 物理与天体物理
Wave Motion Pub Date : 2025-02-08 DOI: 10.1016/j.wavemoti.2025.103514
Junzhen Wang , Jianmin Qu
{"title":"Numerical investigations of deep learning-assisted delamination characterization using ultrasonic guided waves","authors":"Junzhen Wang ,&nbsp;Jianmin Qu","doi":"10.1016/j.wavemoti.2025.103514","DOIUrl":"10.1016/j.wavemoti.2025.103514","url":null,"abstract":"<div><div>Ultrasonic guided waves have been applied extensively for nondestructively detecting delamination in multilayered structures. However, traditional guided-wave-based nondestructive evaluation (NDE) techniques require highly skilled users to interpret the complex wave field scattered by the delamination. To overcome this challenge, this study proposes an approach that combines a deep-learning (DL) neural network with traditional ultrasonic NDE techniques. The NDE technique used here is based on guided waves generated and received in a transmitter-receiver configuration. A 2D finite element analysis (FEA) model is constructed to simulate the guided wave interactions with a delamination between two metallic layers, which yields both the training and testing data. The tailored DL neural network is a convolutional neural network (CNN) combined with bi-directional long short-term memory (BiLSTM). This hybrid neural network is trained by a set of pulse-echo or pitch-catch time-domain data. Once trained, the DL neural network predicts the location of delamination using the recorded pulse-echo time-domain signals as input, and the length of delamination using the recoded pitch-catch time-domain as input. This process of nondestructively characterizing the location and size of delamination can be carried out automatically without the need to analyze the complex wave fields in the ultrasonic tests. The predicted results on both within-range and out-of-range unseen data demonstrate that the proposed technique has tremendous potential for characterizing delamination in practical NDE and structural health monitoring (SHM) applications.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103514"},"PeriodicalIF":2.1,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143386310","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Solitons, breathers and rogue waves of the Yajima–Oikawa-Newell long wave–short wave system
IF 2.1 3区 物理与天体物理
Wave Motion Pub Date : 2025-02-08 DOI: 10.1016/j.wavemoti.2025.103511
Marcos Caso-Huerta , Bao-Feng Feng , Sara Lombardo , Ken-ichi Maruno , Matteo Sommacal
{"title":"Solitons, breathers and rogue waves of the Yajima–Oikawa-Newell long wave–short wave system","authors":"Marcos Caso-Huerta ,&nbsp;Bao-Feng Feng ,&nbsp;Sara Lombardo ,&nbsp;Ken-ichi Maruno ,&nbsp;Matteo Sommacal","doi":"10.1016/j.wavemoti.2025.103511","DOIUrl":"10.1016/j.wavemoti.2025.103511","url":null,"abstract":"<div><div>In this paper, we consider the recently-introduced Yajima–Oikawa–Newell (YON) system describing the nonlinear resonant interaction between a long wave and a short wave. It extends and generalises the Yajima–Oikawa (YO) and the Newell (N) systems, which can be obtained from the YON system for special choices of the two non-rescalable, arbitrary parameters that it features. Remarkably, for any choice of these latter constants, the YON system is integrable, in the sense of possessing a Lax pair. New families of solutions, including the bright and dark multi-solitons, as well as the breathers and the higher-order rogue waves are systematically derived by means of the <span><math><mi>τ</mi></math></span>-function reduction technique for the two-component KP and the KP-Toda hierarchies. In particular, we show that the condition that the wave parameters have to satisfy for the rogue wave solution to exist coincides with the prediction based on the stability spectra for base-band instability of the plane wave solutions. Several examples from each family of solutions are given in closed form, along with a discussion of their main properties and behaviours.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103511"},"PeriodicalIF":2.1,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143379098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
On water hammer waves
IF 2.1 3区 物理与天体物理
Wave Motion Pub Date : 2025-02-04 DOI: 10.1016/j.wavemoti.2025.103507
Carmine Di Nucci , Kamil Urbanowicz , Simone Michele , Daniele Celli , Davide Pasquali , Marcello Di Risio
{"title":"On water hammer waves","authors":"Carmine Di Nucci ,&nbsp;Kamil Urbanowicz ,&nbsp;Simone Michele ,&nbsp;Daniele Celli ,&nbsp;Davide Pasquali ,&nbsp;Marcello Di Risio","doi":"10.1016/j.wavemoti.2025.103507","DOIUrl":"10.1016/j.wavemoti.2025.103507","url":null,"abstract":"<div><div>Water hammer waves, i.e., low-frequency, low-Mach number propagation of finite-amplitude pressure waves in pipe flow, are investigated by means of the wave equation proposed in Di Nucci et al., 2024a, 2024b. The wave equation, resembling a linear damped wave equation, comes from the turbulent-viscosity model based on the quasi-incompressible Reynolds Averaged Navier–Stokes equations. Changes in temperature due to entropy production are neglected, and adiabatic conditions are imposed. Additional insights on the assumptions used to derive the wave equation are also provided. Focusing on the one-dimensional propagation of pressure waves in liquid-filled pipes (without cavitation), analytical solution of the wave equation is tested against experimental data available from the literature. The impact of the simplifying assumptions on the quantitative outcomes appears to be small; therefore a good level of accuracy in replicating water hammer wave characteristics (including damping, smoothing, and maximum pressure peak) is achieved. Results show that the Reynolds number has minimal influence on water hammer wave propagation, i.e., the vorticity field has no remarkable effect on flow behavior. Deeper attention is given to entropy production, and to the role played by the dimensionless number which is identified as predominant in water hammer wave propagation. Damping properties are also determined.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103507"},"PeriodicalIF":2.1,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143332279","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Quasiperiodic-to-soliton conversions and their mechanisms of the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation
IF 2.1 3区 物理与天体物理
Wave Motion Pub Date : 2025-01-31 DOI: 10.1016/j.wavemoti.2025.103505
Shuang Zhao, Hui Wang, Yunhu Wang
{"title":"Quasiperiodic-to-soliton conversions and their mechanisms of the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation","authors":"Shuang Zhao,&nbsp;Hui Wang,&nbsp;Yunhu Wang","doi":"10.1016/j.wavemoti.2025.103505","DOIUrl":"10.1016/j.wavemoti.2025.103505","url":null,"abstract":"<div><div>This paper systematically investigates the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation, which is widely used to describe various nonlinear phenomena in fluid dynamics and plasma physics. The soliton solutions and multi-periodic wave solutions of this equation are constructed using the Hirota bilinear method and the Riemann theta function. The investigation reveals that the one-periodic waves correspond to the renowned one-dimensional surface cnoidal waves, while the two-periodic waves represent a direct extension of the one-periodic waves. Furthermore, the asymptotic properties of the solutions and the transform relationships between quasiperiodic wave solutions and soliton solutions are analyzed. It is discovered that the quasiperiodic wave solutions can degenerate into soliton solutions under a limiting condition.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103505"},"PeriodicalIF":2.1,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169425","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Viscoacoustic Gaussian beam inverse scattering imaging method by asymptotic estimation of the single-scattering Hessian operator
IF 2.1 3区 物理与天体物理
Wave Motion Pub Date : 2025-01-29 DOI: 10.1016/j.wavemoti.2025.103500
Wei Ouyang, Xingchen Shi, Bingkai Han, Weijian Mao
{"title":"Viscoacoustic Gaussian beam inverse scattering imaging method by asymptotic estimation of the single-scattering Hessian operator","authors":"Wei Ouyang,&nbsp;Xingchen Shi,&nbsp;Bingkai Han,&nbsp;Weijian Mao","doi":"10.1016/j.wavemoti.2025.103500","DOIUrl":"10.1016/j.wavemoti.2025.103500","url":null,"abstract":"<div><div>Attenuation compensation has been introduced in the field of linearized inverse scattering problems for the restoration of geological structures and material properties within viscoacoustic media, which are characterized by P-wave velocity and the quality factor <span><math><mi>Q</mi></math></span>. It relies on the solution of a true-amplitude asymptotic inversion, incorporating a single-scattering propagation operator. Nonetheless, traditional mathematical treatments of asymptotic inversion often overlook the viscous properties of the medium. In this study, we investigate the application of the Gaussian-beam depth migration technique, which takes into account multiple wave arrivals, to address the complexities associated with true-amplitude viscoacoustic inverse scattering. This method presents a precise and adaptable alternative to conventional single-arrival ray-based migration techniques. Our focus is on viscoacoustic inversion imaging using the single-scattering Hessian operator, deemed essential for full waveform inversion. In this situation, we demonstrate how to derive an appropriate weighting filter that allows the dominant part of the weighted Hessian operator to effectively approximate the identity operator. As a result, we develop a new form of pseudoinverse operator linked to the Born modeling operator for a single-beam-center slowness component of the wavefield. This operator facilitates the implementation of viscoacoustic Gaussian beam prestack depth migration on common-shot gathers, thereby offering a robust solution for imaging complex structures where single-arrival ray-based approaches are insufficient. Numerical results derived from the analysis of 2D realistic synthetic datasets substantiate the effectiveness of the proposed methodology. This work not only advances the understanding of viscoacoustic imaging techniques but also significantly enhances their practical application in challenging geological scenarios.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103500"},"PeriodicalIF":2.1,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
The massive Thirring model in Bragg grating: Soliton molecules, breather-positon and semirational solutions
IF 2.1 3区 物理与天体物理
Wave Motion Pub Date : 2025-01-29 DOI: 10.1016/j.wavemoti.2025.103503
Tao Xu , Zhijun Qiao
{"title":"The massive Thirring model in Bragg grating: Soliton molecules, breather-positon and semirational solutions","authors":"Tao Xu ,&nbsp;Zhijun Qiao","doi":"10.1016/j.wavemoti.2025.103503","DOIUrl":"10.1016/j.wavemoti.2025.103503","url":null,"abstract":"<div><div>The massive Thirring model, which describes pulse propagation in Bragg grating, is systematically investigated through Darboux transformation. Based on the Darboux transformation, we study soliton molecules, breather-positons, and semirational solutions for the massive Thirring model in this paper. What we present includes the following main results: (1) the general multiple soliton molecules (SMs) interaction, namely, <span><math><mi>M</mi></math></span> SMs interact with <span><math><mrow><mo>(</mo><mi>N</mi><mo>−</mo><mi>M</mi><mo>)</mo></mrow></math></span> solitons (<span><math><mrow><mn>0</mn><mo>≤</mo><mi>M</mi><mo>≤</mo><mi>N</mi></mrow></math></span>); (2) higher-order breather-positon solutions whose center region exhibit rogue waves’ patterns; and (3) semirational solutions with arbitrary <span><math><mi>M</mi></math></span>th-order rogue waves and <span><math><mrow><mo>(</mo><mi>N</mi><mo>−</mo><mi>M</mi><mo>)</mo></mrow></math></span>-breathers. Finally, the generating mechanisms and related dynamics of those obtained nonlinear localized waves are discussed in details.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103503"},"PeriodicalIF":2.1,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Evolutionary equations of a sharing-bicycle system and their solutions
IF 2.1 3区 物理与天体物理
Wave Motion Pub Date : 2025-01-27 DOI: 10.1016/j.wavemoti.2025.103498
Junrong Liu , Wen-Xiu Ma
{"title":"Evolutionary equations of a sharing-bicycle system and their solutions","authors":"Junrong Liu ,&nbsp;Wen-Xiu Ma","doi":"10.1016/j.wavemoti.2025.103498","DOIUrl":"10.1016/j.wavemoti.2025.103498","url":null,"abstract":"<div><div>The development of sharing-bicycle systems is accompanied by serious phenomena such as indiscriminate parking of shared bikes. This study aims to explore causes of parking behaviour problems in a sharing-bicycle system. Based on user demand and the characteristics of the shared bicycle system, we establish the evolutionary equations for the two variables, the density of user groups on the road, and the density of parked shared bicycles on the road, and study conditions satisfied by a shock wave solution. The results of the model’s shock wave solution, time-invariant solution, and travelling wave solution allow us to reveal the phenomenon of aggregation of sharing-bicycles on the sidewalk due to the architecture of a sharing-bicycle system, as well as the fluctuation of the variables that still exists in a stable system. The results have a wide range of potential impacts on sharing-bicycle system operators. In terms of operation strategy, operators can predict the gathering situation of sharing-bicycle system at different times and places according to our model, so as to optimize vehicle scheduling and parking management and reduce the phenomenon of disorderly parking. In addition, in terms of cost control, operators can use resources more effectively and reduce operating costs through more accurate forecasting and scheduling. Our research findings, when combined the basic technologies of modern sharing-bicycle system (such as mobile payment and location technology), promise to significantly enhance system optimization, control, and management, thereby fostering the sustainable growth of the sharing-bicycle industry.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103498"},"PeriodicalIF":2.1,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Sloshing characteristics of viscoelastic liquids in a rectangular container with a floating flexible plate
IF 2.1 3区 物理与天体物理
Wave Motion Pub Date : 2025-01-27 DOI: 10.1016/j.wavemoti.2025.103501
Magdy A. Sirwah
{"title":"Sloshing characteristics of viscoelastic liquids in a rectangular container with a floating flexible plate","authors":"Magdy A. Sirwah","doi":"10.1016/j.wavemoti.2025.103501","DOIUrl":"10.1016/j.wavemoti.2025.103501","url":null,"abstract":"<div><div>The study examines the sloshing behavior of two superposed viscoelastic fluid layers governed by Walter’s liquid ‘B” model within a rectangular tank, subjected to horizontal vibrations. Our investigation is extending to take into account the influence of a flexible plate floating on the top fluid layer, where a modified membrane equation is used to model the stress balance on the surface. Additionally, an insoluble surfactant exists at the liquid–liquid interface within the flow system. The problem’s mathematical model is linked with the linearized Navier–Stokes equation for viscoelastic fluids, along with boundary conditions, which are solved using Laplace transform. Durbin’s numerical inverse Laplace transform scheme is used to numerically calculate solutions of the governing equations in the time domain. Graphical representations of the numerical results are included to investigate the free surface profiles, sloshing forces and moments skeletons and evolution of surface concentration under horizontal excitations, examining their behavior in relation to uniform thickness and structural rigidity of the floating elastic plate; Marangoni number and the relaxation times coefficients of the fluids. The results showed that both the thickness and structural rigidity of the floating elastic enhances the wave stability of both free surfaces of liquids, and it also causes a significant decrease in the forces acting on the walls of the container, which constitutes a safety factor to maintain the integrity of the container. On the other hand, increasing the viscoelastic parameters stimulates the sloshing waves and increases the compressive forces on the walls of the container.</div></div>","PeriodicalId":49367,"journal":{"name":"Wave Motion","volume":"134 ","pages":"Article 103501"},"PeriodicalIF":2.1,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143169422","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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